This document discusses different types of joining processes used to assemble components. It begins by introducing solid phase welding processes which join components without melting them through techniques like pressure. It then discusses different criteria for classifying joining processes, such as whether they use a filler material and whether the filler is the same or different from the parent material. The document goes on to explain principles of solid phase welding, including factors like surface deformation and contamination, and diffusion. It also covers principles of fusion welding processes, which do involve melting material at the joint.
Effect of dilution on microstructure and hardness of a nickel-base hardfacing...RAMASUBBU VELAYUTHAM
1) The document examines the effect of dilution on the microstructure and hardness of a nickel-base hardfacing alloy deposited on an austenitic stainless steel substrate.
2) Electron probe microanalysis revealed considerable dilution of the hardfacing alloy by the substrate material within the first 2.5mm of the deposit, altering the chemistry, microstructure, and decreasing the hardness in this region.
3) Beyond 2.5mm from the interface, the hardness increases to levels comparable to the undiluted alloy as subsequent deposit layers approach, due to decreasing dilution effects farther from the substrate.
[CR4102] Tribology Assignment-118CR0129
Tribological study of a ternary carbide namely Ti3SiC2, a thermodynamically stable laminates, exhibits both Metallic and Ceramic features.
Here we discussed about the properties, structure, R-curve, fretting and tribological behavior of Ti3SiC2 by taking references from various frontline researchers.
Ch-27.1 Basic concepts on structure of solids.pptxksysbaysyag
The document discusses various topics related to materials science including:
1. Common crystal structures of metals such as FCC, BCC, and HCP and how some metals can change structure with temperature.
2. Plastic deformation in metals occurs through slip and twinning which involve the movement of atoms along crystallographic planes.
3. Atomic structure consists of electrons surrounding the nucleus in shells and the number of valence electrons influence material properties and bonding.
4. Primary bonding types are ionic, covalent, and metallic which influence properties like strength, conductivity, and deformation behavior.
The document discusses solidification mechanisms in weld metal. There are four main modes of solidification - planar, cellular, columnar dendritic, and equiaxed dendritic, determined by the ratio of the thermal gradient G and growth rate R. Solidification can occur through either epitaxial or non-epitaxial growth. Epitaxial growth occurs when the filler metal composition is similar to the base metal and it grows on partially melted grains of the base metal. The grain structure depends on the values of G and R, with a high G.R product yielding a finer grain structure.
Effect of welding process on dilution of nickel base hardfacing alloys C.R. D...RAMASUBBU VELAYUTHAM
1. The study examined the effect of welding process on dilution of nickel-base hardfacing alloys deposited on 316L(N) stainless steel substrates.
2. Gas tungsten arc welding (GTAW) resulted in a dilution zone width of ~2.0 mm, while plasma transferred arc welding (PTAW) reduced this to <0.5 mm. GTAW deposits showed variation in microstructure and hardness with dilution, while PTAW deposits were more uniform.
3. Stress relieving heat treatment had little effect on hardness or microstructure of the deposits. The welding process significantly affected dilution and properties near the substrate interface.
This document provides an overview of metal forming processes. It discusses how plastic deformation occurs in crystal structures through slip and twinning. It introduces common yield criteria like von Mises and Tresca criteria that define the onset of plastic deformation. The document contrasts hot and cold working processes. Hot working is done above the recrystallization temperature to allow recovery and recrystallization during deformation, while cold working is below this temperature and results in work hardening without recovery. The advantages and disadvantages of each process are outlined. Higher strain rates lower the recrystallization temperature.
This document discusses fracture mechanics and provides background information on the topic. It introduces key concepts in fracture mechanics including stress intensity factor, linear elastic fracture mechanics (LEFM), ductile to brittle transition, and fracture toughness. Applications of fracture mechanics are described such as its use in analyzing cracking in pavement systems. The document also covers probabilistic fracture of brittle materials and how their strength is affected by the presence of flaws.
Effect of dilution on microstructure and hardness of a nickel-base hardfacing...RAMASUBBU VELAYUTHAM
1) The document examines the effect of dilution on the microstructure and hardness of a nickel-base hardfacing alloy deposited on an austenitic stainless steel substrate.
2) Electron probe microanalysis revealed considerable dilution of the hardfacing alloy by the substrate material within the first 2.5mm of the deposit, altering the chemistry, microstructure, and decreasing the hardness in this region.
3) Beyond 2.5mm from the interface, the hardness increases to levels comparable to the undiluted alloy as subsequent deposit layers approach, due to decreasing dilution effects farther from the substrate.
[CR4102] Tribology Assignment-118CR0129
Tribological study of a ternary carbide namely Ti3SiC2, a thermodynamically stable laminates, exhibits both Metallic and Ceramic features.
Here we discussed about the properties, structure, R-curve, fretting and tribological behavior of Ti3SiC2 by taking references from various frontline researchers.
Ch-27.1 Basic concepts on structure of solids.pptxksysbaysyag
The document discusses various topics related to materials science including:
1. Common crystal structures of metals such as FCC, BCC, and HCP and how some metals can change structure with temperature.
2. Plastic deformation in metals occurs through slip and twinning which involve the movement of atoms along crystallographic planes.
3. Atomic structure consists of electrons surrounding the nucleus in shells and the number of valence electrons influence material properties and bonding.
4. Primary bonding types are ionic, covalent, and metallic which influence properties like strength, conductivity, and deformation behavior.
The document discusses solidification mechanisms in weld metal. There are four main modes of solidification - planar, cellular, columnar dendritic, and equiaxed dendritic, determined by the ratio of the thermal gradient G and growth rate R. Solidification can occur through either epitaxial or non-epitaxial growth. Epitaxial growth occurs when the filler metal composition is similar to the base metal and it grows on partially melted grains of the base metal. The grain structure depends on the values of G and R, with a high G.R product yielding a finer grain structure.
Effect of welding process on dilution of nickel base hardfacing alloys C.R. D...RAMASUBBU VELAYUTHAM
1. The study examined the effect of welding process on dilution of nickel-base hardfacing alloys deposited on 316L(N) stainless steel substrates.
2. Gas tungsten arc welding (GTAW) resulted in a dilution zone width of ~2.0 mm, while plasma transferred arc welding (PTAW) reduced this to <0.5 mm. GTAW deposits showed variation in microstructure and hardness with dilution, while PTAW deposits were more uniform.
3. Stress relieving heat treatment had little effect on hardness or microstructure of the deposits. The welding process significantly affected dilution and properties near the substrate interface.
This document provides an overview of metal forming processes. It discusses how plastic deformation occurs in crystal structures through slip and twinning. It introduces common yield criteria like von Mises and Tresca criteria that define the onset of plastic deformation. The document contrasts hot and cold working processes. Hot working is done above the recrystallization temperature to allow recovery and recrystallization during deformation, while cold working is below this temperature and results in work hardening without recovery. The advantages and disadvantages of each process are outlined. Higher strain rates lower the recrystallization temperature.
This document discusses fracture mechanics and provides background information on the topic. It introduces key concepts in fracture mechanics including stress intensity factor, linear elastic fracture mechanics (LEFM), ductile to brittle transition, and fracture toughness. Applications of fracture mechanics are described such as its use in analyzing cracking in pavement systems. The document also covers probabilistic fracture of brittle materials and how their strength is affected by the presence of flaws.
This document provides an overview of explosive welding on concentric cylinders. It discusses the explosive welding process, bonding interface, solidification at the weld zone, and applications. Explosive welding uses detonation of an explosive to accelerate one material into another, causing plastic deformation and bonding without melting. It can join many dissimilar metals and produces a weld joint stronger than the base metals. However, it is limited to simple geometries like flat or cylindrical surfaces. Applications include heat exchangers, pressure vessels, and repair of heat exchanger tubes.
Crystal structures determine material properties. Common structures are FCC, BCC, and HCP. FCC materials like copper are soft while BCC like tungsten are hard. HCP materials include magnesium and zinc. Cobalt and chromium can transform between structures with temperature changes. Grain boundaries in materials are weak points that chemicals can attack. Plastic deformation occurs through slip and twinning along crystal planes. Ductile fracture follows plastic deformation while brittle fracture precedes it.
The document discusses an investigation into hydrogen induced cracking that occurred in a cryogenic pressure vessel made of high cold work austenitic stainless steel. Straight cracks initiated internally at the bottom head near welds and grew outward, causing leaks during startup. The investigation found the bottom head experienced higher residual stress and martensite content due to cold forming. During startup, hydrogen absorption reached saturation as temperature decreased, reducing toughness and increasing cracking. To prevent future issues, hot forming and post-weld heat treatment were recommended to reduce residual stress, and material testing to evaluate hydrogen cracking susceptibility.
In the material testing laboratory, a Charpy impact test was performed on three different types (hot,cold,and steel alloy)of steels testing each variety at four different temperatures (32°C(RT), 100°C,0°C and -22°C ). From results (shown below), we determined that the a transition is from ductile failures to brittle failures
Dislocations & Materials Classes , and strenthning mechanismsonadiaKhan
In brittle materials, failure in the film occurs when the stress exceeds a critical stress defined by the intrinsic atomic strength of the material and the nature of any critical defects. If the strength of the material can be increased or the size (or sharpness) of the defects decreased, then the film will be able to withstand higher levels of stress. It is important to emphasize that this approach will not reduce the stress in the system; so, bending and other detrimental effects will still occur.
The strength of the material can be increased by adding second-phase reinforcements that can be either permanent (e.g. fibers) or temporary (long-chain polymers). The size of critical defects can be modified through appropriate processing (either selection of route or control of processing) to ensure that the samples are free of critical defects. Large pores, introduced due to contamination, and poor powder packing or large grains are common strength-limiting defects in powder-based thick films – the use of fine grains and ensuring well-homogenized powders with no contaminants are therefore critical, as is high-quality deposition processing (Chapter 3).
Such strengthening mechanisms can play an important role, as there is a significant change in the mechanical properties of thick films during processing due to the rapidly evolving microstructure and chemistry of the system. Often, stresses in the system will increase before the strength of the material increases, leading to situations where the film is at a higher risk of failing mid-way through processing.
Overcoming Challenges of Integration
Reduce temperature
Reducing the temperature used for processing is by far the most effective way to overcome the challenges. It alleviates all the thermally induced issues, reduces (or even eliminates) chemical reactions, and reduces differential strains caused by reactions and temperature.
Separate reactants
Two reactive materials can be separated either by removing one material completely or by placing a barrier between the two materials. Protective atmospheres and barrier layers are frequently used.
Reduce differential strains
Select materials with comparable thermal expansions, those that do not undergo volume changes due to reactions or phase changes, or reduce the need to consolidate materials during processing.
Reduce film thickness
Building up multiple thin layers can allow much thicker films to be created, as each single layer is better able to withstand relative shrinkage during processing.
Strengthening
Modifying the materials to increase strength or interface strength of system can be used to prevent mechanical failure.
Read more
Creep of Intermetallics
M.-T. Perez-Prado, M.E. Kassner, in Fundamentals of Creep in Metals and Alloys (Third Edition), 2015
4.2.3 Strengthening Mechanisms
Several strengthening mechanisms have been utilized in order to improve the creep strength of NiAl alloys. Solid solution of Fe, Nb, Ta, Ti, and Zr produced only
Historical analysis of metal cutting shows that metal removal rates have been increasing in the course of the century, predicated by the advancement in tool materials but the steel design has lagged behind. This paper examines the mechanisms of chip formation and tool wear as a function of cutting speed in metal cutting. Chemical wear is identified as the dominant mechanism of tool wear at high cutting speeds caused by temperature rise due to shear localisation in the primary and secondary shear zones of chip. Shear localisation in the primary shear zone is shown to be influenced by both microstructural parameters, i.e. matrix hardening and second phase particles, and metal cutting variables, i.e. cutting speed (strain rate) and feed (pressure).
This document summarizes several theories on the nucleation mechanisms of graphite in ductile iron. It discusses the gas bubble theory, graphite theory, silicon carbide theory, and salt-like carbide theory. It also reviews the roles that elements like silicon, calcium, strontium, barium, aluminum, magnesium, cerium, sulfur, oxygen, and nitrogen play in the nucleation process. The document concludes that while these theories provide some explanations, the complex interactions between inoculants and the melt are not fully understood.
Thermomechanical simulation was used to optimize a catalytic converter assembly for durability. The simulation modeled the intumescent mat material that holds the substrate in place within the metal can. It found that the mat expands significantly at high temperatures, applying pressure to the substrate. The instantaneous pressures during assembly were highest and most critical for substrate failure. The simulation analyzed the assembly through one full thermal cycle and found stresses and strains increased in the can and substrate during heating due to mat expansion. Peak mat pressures and substrate stresses doubled from assembly to high temperature operation.
Point defects such as vacancies and self-interstitials are common imperfections in crystalline solids that occur during processing or from applied stresses. Vacancy concentration can be calculated using statistical mechanics and is proportional to exp(-ΔHf/kT), where ΔHf is the enthalpy of vacancy formation. Dislocations are linear defects that enable plastic deformation through slip processes. They allow metals to deform with only minor bond breaking, providing both strength and ductility. Grain boundaries introduce discontinuities that impede dislocation motion, strengthening materials according to the Hall-Petch relationship as grain size decreases.
This document discusses a study on using guided wave electromagnetic acoustic transducer (EMAT) techniques to inspect three-layered clad coin stock materials for delamination. The study involved:
1. Developing guided wave dispersion curves for the intact three-layer structure and for delaminated substructures.
2. Modeling guided wave propagation and interaction with laminations using finite element analysis.
3. Testing an EMAT inspection system installed on a coin stock production line, which successfully detected disbonds.
4. Verifying the guided wave modeling through destructive and offline nondestructive testing techniques.
Fundamentals, synthesis and applications of Al2O3-ZrO2 compositesTANDRA MOHANTA
When the word “Ceramic” comes to our mind, we usually associate them with plates, saucers, cups and mugs. But, the word “Ceramic” encompasses more than just the word “plates” or “saucers”. Indeed, ceramic materials are hard and inherently brittle, but this is just the tip of the iceberg. They have multifarious properties and have acquired a status of high technical importance in the field of scientific research. Ceramics are the soul of the modern day’s structural applications owing to their high mechanical and thermal stability under different challenging conditions. They exhibit remarkable properties such as high hardness, high wear resistance, high corrosion resistance, high elastic modulus, high melting point and the ability to retain high strength at elevated temperatures. Alumina (Al2O3) is one such remarkable ceramic material known for its unique optical, mechanical and electrical properties. But the brittle nature of Al2O3 limits its use in certain engineering applications. Therefore, the strength of Al2O3 and Al2O3- based ceramics can be enhanced by tailoring the microstructural design through the application of strategic techniques that may involve secondary phase particle inclusion (such as Zirconia, ZrO2)
Improving the properties of Ni-Based Alloys by Co AdditionIRJET Journal
1) The document discusses improving the properties of nickel-based alloys through the addition of cobalt.
2) Cobalt addition leads to grain refinement in the alloys, which influences both microstructure and corrosion resistance. Finer grain size improves hardness.
3) Samples of Ni-5Cr-5Al-xCo (where x is the cobalt content from 0-30%) were produced by vacuum arc melting and characterized through XRD, optical microscopy, and Vickers hardness testing.
4) Results showed that increasing the cobalt content refined grain size and improved hardness, while also enhancing corrosion resistance properties over the substrate material alone.
Effect of broaching on high temperature fatigue behaviorPhuong Dx
The document discusses the effect of broaching on the high-temperature fatigue behavior of notched INCONEL 718 specimens. Two batches of specimens were broached, resulting in differing extents of subsurface deformation and surface roughness. Fatigue tests at 600°C found that the batch with more severe subsurface deformation, but lower surface roughness, had the worst fatigue performance. Finite element analysis showed the work hardening from subsurface deformation accounted for the difference in fatigue lives between batches. Differences were also seen in crack initiation and growth behavior between batches and between broached and polished specimens.
This document summarizes material failure and fracture. It discusses the different ways components can fail, including excessive deformation, fracture, corrosion, and degradation of properties. It describes the three main ways structural elements and machine elements can fail: excessive elastic deformation, plastic deformation/yielding, and fracture. Ductile and brittle fracture are also summarized. Ductile fracture involves plastic deformation and leaves a cup-and-cone shaped surface, while brittle fracture involves little deformation and leaves a smooth, bright surface. Microscopic examination of fracture surfaces can provide details about the fracture mechanism.
INTERFACIAL STRESS ANALYSIS OF EXTERNALLY PLATED RC BEAMSIjripublishers Ijri
has become a popular retrofit method due to its rapid, simple and other advantages. However, debonding along the
Steel-RC beam interface can lead to premature failure of the structures. The interfacial stresses play a significant role
in understanding this premature debonding failure of such repaired structures. This paper presents a careful finite
element investigation into interfacial stresses in the adhesive layer bonding RC beam and soffit plate. Finite element
modelling issues like proper selection of contact between adherents and symmetry conditions are first
discussed, with particular attention on appropriate finite element meshes for the accurate determination of interfacial
stresses. The interfacial stress behaviour at plate end has been analysed for two cases of loading taken one by applying
uniformly distributed load and the other with a two point loading. Two special cases are considered in two point
loading – for the cases when the plate terminates with-in the constant moment region (CMR) and for the case when
plate is extended beyond constant moment region where bending moment is minimal. The interfacial stresses are
increasing with a reduction in adhesive layer thickness where as the stresses are increasing with the increase in soffit
plate thickness. Carbon fibre reinforced polymer (CFRP) has shown a significant reduction in interfacial stresses
when compared to steel plate. The interfacial stresses for the plate restricted within the constant moment region are very
high near the plate end leading to flexural debonding compared to the case where plate is extended beyond constant
moment region where bending moment is minimal. The concentration of stresses in the adhesive layer near the plate
end explained the significance in considering their influence in flexural debonding.
INTERFACIAL STRESS ANALYSIS OF EXTERNALLY PLATED RC BEAMSIjripublishers Ijri
Strengthening reinforced concrete (RC) beams by bonding steel or fibre reinforced polymer (FRP) on its tension face
has become a popular retrofit method due to its rapid, simple and other advantages. However, debonding along the
Steel-RC beam interface can lead to premature failure of the structures. The interfacial stresses play a significant role
in understanding this premature debonding failure of such repaired structures. This paper presents a careful finite
element investigation into interfacial stresses in the adhesive layer bonding RC beam and soffit plate. Finite element
modelling issues like proper selection of contact between adherents and symmetry conditions are first
discussed, with particular attention on appropriate finite element meshes for the accurate determination of interfacial
stresses. The interfacial stress behaviour at plate end has been analysed for two cases of loading taken one by applying
uniformly distributed load and the other with a two point loading. Two special cases are considered in two point
loading – for the cases when the plate terminates with-in the constant moment region (CMR) and for the case when
plate is extended beyond constant moment region where bending moment is minimal. The interfacial stresses are
increasing with a reduction in adhesive layer thickness where as the stresses are increasing with the increase in soffit
plate thickness. Carbon fibre reinforced polymer (CFRP) has shown a significant reduction in interfacial stresses
when compared to steel plate. The interfacial stresses for the plate restricted within the constant moment region are very
high near the plate end leading to flexural debonding compared to the case where plate is extended beyond constant
moment region where bending moment is minimal. The concentration of stresses in the adhesive layer near the plate
end explained the significance in considering their influence in flexural debonding.
Keywords-- Interfacial stresses, flexural debonding, constant moment region, soffit plate, finite element method.
TRIP-assisted steels are mass produced steels that use a complex heat treatment to develop a microstructure consisting of allotriomorphic ferrite, bainite, martensite, and retained austenite. Their major application is in the automobile industry. There are two types of TRIP-assisted steels that differ in their heat treatment process. TWIP steels are austenitic and accommodate strain through dislocation glide and mechanical twinning, resulting in high ductility and strength. Micro-alloyed steels produced by controlled rolling have moderate strength, good toughness and weldability, and are widely used in applications like pipelines. The embrittlement and fracture of steels depends on
This document discusses impact testing techniques used to evaluate the fracture behavior of materials. It provides background on impact testing and describes the Charpy and Izod impact tests. These tests involve fracturing a notched specimen using a swinging pendulum. The absorbed energy is measured and used to determine the ductile to brittle transition temperature (DBTT) of the material. The DBTT curve shows how absorbed energy and fracture surface morphology change with temperature. Factors that influence the DBTT, such as chemical composition, grain size, and heat treatment are also reviewed. Experimental procedures for conducting impact tests at different temperatures are outlined.
IRJET- Quality Improvement of Ductile Iron Casting by Thermal AnalysisIRJET Journal
The document discusses using thermal analysis to improve the quality of ductile iron castings by reducing shrinkage defects. It presents the results of an experiment where cooling curves were recorded for ductile iron castings with different section thicknesses. Nine castings were produced with variations in chemical composition, inoculation amount, and pouring temperature. The cooling curves were analyzed to understand the solidification behavior and identify conditions that led to shrinkage. The results showed that thermal analysis is effective for controlling melt quality in ductile iron and avoiding shrinkage, with nil undercooling indicating sufficient inoculation for a given composition and thickness.
Generating privacy-protected synthetic data using Secludy and MilvusZilliz
During this demo, the founders of Secludy will demonstrate how their system utilizes Milvus to store and manipulate embeddings for generating privacy-protected synthetic data. Their approach not only maintains the confidentiality of the original data but also enhances the utility and scalability of LLMs under privacy constraints. Attendees, including machine learning engineers, data scientists, and data managers, will witness first-hand how Secludy's integration with Milvus empowers organizations to harness the power of LLMs securely and efficiently.
Your One-Stop Shop for Python Success: Top 10 US Python Development Providersakankshawande
Simplify your search for a reliable Python development partner! This list presents the top 10 trusted US providers offering comprehensive Python development services, ensuring your project's success from conception to completion.
This document provides an overview of explosive welding on concentric cylinders. It discusses the explosive welding process, bonding interface, solidification at the weld zone, and applications. Explosive welding uses detonation of an explosive to accelerate one material into another, causing plastic deformation and bonding without melting. It can join many dissimilar metals and produces a weld joint stronger than the base metals. However, it is limited to simple geometries like flat or cylindrical surfaces. Applications include heat exchangers, pressure vessels, and repair of heat exchanger tubes.
Crystal structures determine material properties. Common structures are FCC, BCC, and HCP. FCC materials like copper are soft while BCC like tungsten are hard. HCP materials include magnesium and zinc. Cobalt and chromium can transform between structures with temperature changes. Grain boundaries in materials are weak points that chemicals can attack. Plastic deformation occurs through slip and twinning along crystal planes. Ductile fracture follows plastic deformation while brittle fracture precedes it.
The document discusses an investigation into hydrogen induced cracking that occurred in a cryogenic pressure vessel made of high cold work austenitic stainless steel. Straight cracks initiated internally at the bottom head near welds and grew outward, causing leaks during startup. The investigation found the bottom head experienced higher residual stress and martensite content due to cold forming. During startup, hydrogen absorption reached saturation as temperature decreased, reducing toughness and increasing cracking. To prevent future issues, hot forming and post-weld heat treatment were recommended to reduce residual stress, and material testing to evaluate hydrogen cracking susceptibility.
In the material testing laboratory, a Charpy impact test was performed on three different types (hot,cold,and steel alloy)of steels testing each variety at four different temperatures (32°C(RT), 100°C,0°C and -22°C ). From results (shown below), we determined that the a transition is from ductile failures to brittle failures
Dislocations & Materials Classes , and strenthning mechanismsonadiaKhan
In brittle materials, failure in the film occurs when the stress exceeds a critical stress defined by the intrinsic atomic strength of the material and the nature of any critical defects. If the strength of the material can be increased or the size (or sharpness) of the defects decreased, then the film will be able to withstand higher levels of stress. It is important to emphasize that this approach will not reduce the stress in the system; so, bending and other detrimental effects will still occur.
The strength of the material can be increased by adding second-phase reinforcements that can be either permanent (e.g. fibers) or temporary (long-chain polymers). The size of critical defects can be modified through appropriate processing (either selection of route or control of processing) to ensure that the samples are free of critical defects. Large pores, introduced due to contamination, and poor powder packing or large grains are common strength-limiting defects in powder-based thick films – the use of fine grains and ensuring well-homogenized powders with no contaminants are therefore critical, as is high-quality deposition processing (Chapter 3).
Such strengthening mechanisms can play an important role, as there is a significant change in the mechanical properties of thick films during processing due to the rapidly evolving microstructure and chemistry of the system. Often, stresses in the system will increase before the strength of the material increases, leading to situations where the film is at a higher risk of failing mid-way through processing.
Overcoming Challenges of Integration
Reduce temperature
Reducing the temperature used for processing is by far the most effective way to overcome the challenges. It alleviates all the thermally induced issues, reduces (or even eliminates) chemical reactions, and reduces differential strains caused by reactions and temperature.
Separate reactants
Two reactive materials can be separated either by removing one material completely or by placing a barrier between the two materials. Protective atmospheres and barrier layers are frequently used.
Reduce differential strains
Select materials with comparable thermal expansions, those that do not undergo volume changes due to reactions or phase changes, or reduce the need to consolidate materials during processing.
Reduce film thickness
Building up multiple thin layers can allow much thicker films to be created, as each single layer is better able to withstand relative shrinkage during processing.
Strengthening
Modifying the materials to increase strength or interface strength of system can be used to prevent mechanical failure.
Read more
Creep of Intermetallics
M.-T. Perez-Prado, M.E. Kassner, in Fundamentals of Creep in Metals and Alloys (Third Edition), 2015
4.2.3 Strengthening Mechanisms
Several strengthening mechanisms have been utilized in order to improve the creep strength of NiAl alloys. Solid solution of Fe, Nb, Ta, Ti, and Zr produced only
Historical analysis of metal cutting shows that metal removal rates have been increasing in the course of the century, predicated by the advancement in tool materials but the steel design has lagged behind. This paper examines the mechanisms of chip formation and tool wear as a function of cutting speed in metal cutting. Chemical wear is identified as the dominant mechanism of tool wear at high cutting speeds caused by temperature rise due to shear localisation in the primary and secondary shear zones of chip. Shear localisation in the primary shear zone is shown to be influenced by both microstructural parameters, i.e. matrix hardening and second phase particles, and metal cutting variables, i.e. cutting speed (strain rate) and feed (pressure).
This document summarizes several theories on the nucleation mechanisms of graphite in ductile iron. It discusses the gas bubble theory, graphite theory, silicon carbide theory, and salt-like carbide theory. It also reviews the roles that elements like silicon, calcium, strontium, barium, aluminum, magnesium, cerium, sulfur, oxygen, and nitrogen play in the nucleation process. The document concludes that while these theories provide some explanations, the complex interactions between inoculants and the melt are not fully understood.
Thermomechanical simulation was used to optimize a catalytic converter assembly for durability. The simulation modeled the intumescent mat material that holds the substrate in place within the metal can. It found that the mat expands significantly at high temperatures, applying pressure to the substrate. The instantaneous pressures during assembly were highest and most critical for substrate failure. The simulation analyzed the assembly through one full thermal cycle and found stresses and strains increased in the can and substrate during heating due to mat expansion. Peak mat pressures and substrate stresses doubled from assembly to high temperature operation.
Point defects such as vacancies and self-interstitials are common imperfections in crystalline solids that occur during processing or from applied stresses. Vacancy concentration can be calculated using statistical mechanics and is proportional to exp(-ΔHf/kT), where ΔHf is the enthalpy of vacancy formation. Dislocations are linear defects that enable plastic deformation through slip processes. They allow metals to deform with only minor bond breaking, providing both strength and ductility. Grain boundaries introduce discontinuities that impede dislocation motion, strengthening materials according to the Hall-Petch relationship as grain size decreases.
This document discusses a study on using guided wave electromagnetic acoustic transducer (EMAT) techniques to inspect three-layered clad coin stock materials for delamination. The study involved:
1. Developing guided wave dispersion curves for the intact three-layer structure and for delaminated substructures.
2. Modeling guided wave propagation and interaction with laminations using finite element analysis.
3. Testing an EMAT inspection system installed on a coin stock production line, which successfully detected disbonds.
4. Verifying the guided wave modeling through destructive and offline nondestructive testing techniques.
Fundamentals, synthesis and applications of Al2O3-ZrO2 compositesTANDRA MOHANTA
When the word “Ceramic” comes to our mind, we usually associate them with plates, saucers, cups and mugs. But, the word “Ceramic” encompasses more than just the word “plates” or “saucers”. Indeed, ceramic materials are hard and inherently brittle, but this is just the tip of the iceberg. They have multifarious properties and have acquired a status of high technical importance in the field of scientific research. Ceramics are the soul of the modern day’s structural applications owing to their high mechanical and thermal stability under different challenging conditions. They exhibit remarkable properties such as high hardness, high wear resistance, high corrosion resistance, high elastic modulus, high melting point and the ability to retain high strength at elevated temperatures. Alumina (Al2O3) is one such remarkable ceramic material known for its unique optical, mechanical and electrical properties. But the brittle nature of Al2O3 limits its use in certain engineering applications. Therefore, the strength of Al2O3 and Al2O3- based ceramics can be enhanced by tailoring the microstructural design through the application of strategic techniques that may involve secondary phase particle inclusion (such as Zirconia, ZrO2)
Improving the properties of Ni-Based Alloys by Co AdditionIRJET Journal
1) The document discusses improving the properties of nickel-based alloys through the addition of cobalt.
2) Cobalt addition leads to grain refinement in the alloys, which influences both microstructure and corrosion resistance. Finer grain size improves hardness.
3) Samples of Ni-5Cr-5Al-xCo (where x is the cobalt content from 0-30%) were produced by vacuum arc melting and characterized through XRD, optical microscopy, and Vickers hardness testing.
4) Results showed that increasing the cobalt content refined grain size and improved hardness, while also enhancing corrosion resistance properties over the substrate material alone.
Effect of broaching on high temperature fatigue behaviorPhuong Dx
The document discusses the effect of broaching on the high-temperature fatigue behavior of notched INCONEL 718 specimens. Two batches of specimens were broached, resulting in differing extents of subsurface deformation and surface roughness. Fatigue tests at 600°C found that the batch with more severe subsurface deformation, but lower surface roughness, had the worst fatigue performance. Finite element analysis showed the work hardening from subsurface deformation accounted for the difference in fatigue lives between batches. Differences were also seen in crack initiation and growth behavior between batches and between broached and polished specimens.
This document summarizes material failure and fracture. It discusses the different ways components can fail, including excessive deformation, fracture, corrosion, and degradation of properties. It describes the three main ways structural elements and machine elements can fail: excessive elastic deformation, plastic deformation/yielding, and fracture. Ductile and brittle fracture are also summarized. Ductile fracture involves plastic deformation and leaves a cup-and-cone shaped surface, while brittle fracture involves little deformation and leaves a smooth, bright surface. Microscopic examination of fracture surfaces can provide details about the fracture mechanism.
INTERFACIAL STRESS ANALYSIS OF EXTERNALLY PLATED RC BEAMSIjripublishers Ijri
has become a popular retrofit method due to its rapid, simple and other advantages. However, debonding along the
Steel-RC beam interface can lead to premature failure of the structures. The interfacial stresses play a significant role
in understanding this premature debonding failure of such repaired structures. This paper presents a careful finite
element investigation into interfacial stresses in the adhesive layer bonding RC beam and soffit plate. Finite element
modelling issues like proper selection of contact between adherents and symmetry conditions are first
discussed, with particular attention on appropriate finite element meshes for the accurate determination of interfacial
stresses. The interfacial stress behaviour at plate end has been analysed for two cases of loading taken one by applying
uniformly distributed load and the other with a two point loading. Two special cases are considered in two point
loading – for the cases when the plate terminates with-in the constant moment region (CMR) and for the case when
plate is extended beyond constant moment region where bending moment is minimal. The interfacial stresses are
increasing with a reduction in adhesive layer thickness where as the stresses are increasing with the increase in soffit
plate thickness. Carbon fibre reinforced polymer (CFRP) has shown a significant reduction in interfacial stresses
when compared to steel plate. The interfacial stresses for the plate restricted within the constant moment region are very
high near the plate end leading to flexural debonding compared to the case where plate is extended beyond constant
moment region where bending moment is minimal. The concentration of stresses in the adhesive layer near the plate
end explained the significance in considering their influence in flexural debonding.
INTERFACIAL STRESS ANALYSIS OF EXTERNALLY PLATED RC BEAMSIjripublishers Ijri
Strengthening reinforced concrete (RC) beams by bonding steel or fibre reinforced polymer (FRP) on its tension face
has become a popular retrofit method due to its rapid, simple and other advantages. However, debonding along the
Steel-RC beam interface can lead to premature failure of the structures. The interfacial stresses play a significant role
in understanding this premature debonding failure of such repaired structures. This paper presents a careful finite
element investigation into interfacial stresses in the adhesive layer bonding RC beam and soffit plate. Finite element
modelling issues like proper selection of contact between adherents and symmetry conditions are first
discussed, with particular attention on appropriate finite element meshes for the accurate determination of interfacial
stresses. The interfacial stress behaviour at plate end has been analysed for two cases of loading taken one by applying
uniformly distributed load and the other with a two point loading. Two special cases are considered in two point
loading – for the cases when the plate terminates with-in the constant moment region (CMR) and for the case when
plate is extended beyond constant moment region where bending moment is minimal. The interfacial stresses are
increasing with a reduction in adhesive layer thickness where as the stresses are increasing with the increase in soffit
plate thickness. Carbon fibre reinforced polymer (CFRP) has shown a significant reduction in interfacial stresses
when compared to steel plate. The interfacial stresses for the plate restricted within the constant moment region are very
high near the plate end leading to flexural debonding compared to the case where plate is extended beyond constant
moment region where bending moment is minimal. The concentration of stresses in the adhesive layer near the plate
end explained the significance in considering their influence in flexural debonding.
Keywords-- Interfacial stresses, flexural debonding, constant moment region, soffit plate, finite element method.
TRIP-assisted steels are mass produced steels that use a complex heat treatment to develop a microstructure consisting of allotriomorphic ferrite, bainite, martensite, and retained austenite. Their major application is in the automobile industry. There are two types of TRIP-assisted steels that differ in their heat treatment process. TWIP steels are austenitic and accommodate strain through dislocation glide and mechanical twinning, resulting in high ductility and strength. Micro-alloyed steels produced by controlled rolling have moderate strength, good toughness and weldability, and are widely used in applications like pipelines. The embrittlement and fracture of steels depends on
This document discusses impact testing techniques used to evaluate the fracture behavior of materials. It provides background on impact testing and describes the Charpy and Izod impact tests. These tests involve fracturing a notched specimen using a swinging pendulum. The absorbed energy is measured and used to determine the ductile to brittle transition temperature (DBTT) of the material. The DBTT curve shows how absorbed energy and fracture surface morphology change with temperature. Factors that influence the DBTT, such as chemical composition, grain size, and heat treatment are also reviewed. Experimental procedures for conducting impact tests at different temperatures are outlined.
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JOINING PROCESSES.pdf
1. 5 Joining Processes
5.I INTRODUCTION
Unlike the manufacturing processes employed to produce a single compo-
nent, the joining proccsses are used to assemble different members to yield
the desired complex configuration. Such a con'plex geometry is either too
difficult or impossible to obtain'by using only th'e manufacturing processes.
The joining processes are so intimately related to the overall production
system that tbese are also considered to form a class of manufacturing
techniques. The joining of different elements can be either temporary or
permanent in nature. Also, the mechanism of bonding may be either
mechanical or atomic. All joining processes involving atomic bonding are
of a permanent nature. In this chapter, we shall discuss the basic priniiples
and mechanisms of all such processes. In doing so, we shall also consider
the different physical, mechanical, and metallurgical factors which govern
the quality of the joints. In mechanical bonding, the strength of the joint
is less .than the combined strength of the origioal members. In atomic
bonding, however, the situation is not necessarily so. A general basic
classification of the joining processes is given in Table 5.1. In our discus-
sion, we shall follow this classification.
Another criterion used for a classification of the joining processes is
based on the composition of the joint. According to this scheme, all join-
ing processes can be grouped into three different categories, namely,
(i) autogeneous, (ii) homogeneous, and (iii) heterogeneous. Irr the processes
belonging to (i), no filler material is added during joining. All types o[
solid phase welding and resistance welding are examples of this category.
In the homr.lgeneous joining processes, the filler material used to provide
the joint is the same as the parent material. Arc, gas, and thermit welding
belong to this category. In the processes of type (iii), a filler material
different from the parent material is used. Soldering and brazing are two
such joining processes. It may be noted that two materials w.hich are
insoluble in each other, such as iron and silver, can be joined by a hetero-
geneous process. This may be achieved by using a filler material (e.g.,
copper and tin) which is soluble in both the parent matcrials (i,e., iron
and silver).
As already shown in Chapter l, the bonding [orcc trctwccn two Inctallic
atoms decrcases very sharply with thc irttcrittorttic tlistitncc. Whcrr thc
rlistanc:c is tnrlrc lhatt ;t l'cw :tlotttit: sP;rcirrl',s (r.e., ;r li:w ttrtlislrottrs), thc
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2. 288 MANUFAcTURTNG scrENCE
sharply and attains a very large value when the distance is reduced. Thus, if
it is possiSle to hring together two metalhc surfeces so that nothing but the
grdin boundaries separate them, the two bodies will adhere with a very
large force, resulting in what we call welding. However, in normal atmo-
sphere, the metal surfaces are contaminated with layers of oxides and
adsorbed gases. These layers are normally a few hundred angstroms thick.
So, it is not possible to generate a stroog attractive force when two metal
surfaces are brought in contact. But this difficulty can be eliminated when
the contaminatiug layers are removed from the surfaces. Though this may
appear as a problem for welding, it is rather fortunate to have these
contaminating layers. For example, in the outer space, a major problem is
not the welding but the unlwelding of surfaces.
5.2 PRINCIPLES OF SOLID PHASE WELDING
The solid state welding processes may be carried out both at the room
temperature and at an elevated temperature without, of course, melting
any part of the joining surfaces. For a better understanding of the quality
of a solid phase joint, it is worthwhile to recapitulate the strength and
cohesion of metals. A deflect-free crystal fails by a cleavage along a
crystallographic plane where the interatomic force is the weakest. As a
result, two oew surflaces are produced, anC the surface energy y is defined
as tbe work done in order to create these surfaces. The strength of a single
crystal ,(o") is found to ber
o":1!1',n, (s.l)
whcre ,C is the modulus of elasticity of the material and d is the lattice
spacing in the cleavage plane. Horvever, in a brittle soiid, tire tailure takes
place by the extension of the cracks already present, and the buik strength
is much reduced from that given by equation (5.1). In rhis case, the bulk
strength (o6) is expressed as
tr^,
ob: (7)tt2,
rvhere /(yd) is the length of the crack. In Chapter l, we have alrcady
seen that the lailure of a polycrystalline ductile material is due to the
movement of dislocations, resulting in plastic instabiiity, and this takes
place at a stress much lower than that given by equation (5.1).
The foregoing discussion indicates that the bulk strength of a material
is much lower than the bonding forces o[ the constituent. atoms. So, a
good welding does not require to achieve a strength cqual to that bctwccn
the adjacent lattice planes. Moreover, it should bc rcnrernbcrcd that at thc
room temperature, i.e., with negligiblc crcep, cvcr) u ptunc ol'l;rtticc rrrislit
rl.oncaslcr, J.Ir., Mctalltrrt:y oI Wclrlirrl', Ilr.rrrrrli rr1,l liol,lcr rrrg, Allcrr .rr1l I Irrrvrrr.
L()n(l()r!, ltrllo.
(5.2)
JOINING PROCESSES 289
is not weaker than the bulk material. This information is important
because a cold weld junction is essentially a planc of lattice misfit.
When two metal surfaces are brought inio contact, the real 3oiltact
thkes place through a small area of asperities, This metallic bridging occurs
even in the presence of adsorbed surface layers. The bridgeq so formed
have the property of a true grain boundary, and hence are stronger than
the bulk material. Some work hardening also takes place in the layers,
just beneath the mating surfaces. If the yield streogth (or flow pressure)
of the material is o, with the applied force as p., then the fraction of the
total a:ea coming in contact, and thereby forming a weld, is simply (pJct).
However, around the welding zones, there will be some areas which come
in contact (without actual flow) where the stresses are still within the
elastic range. The experimental results suggest that including this area, the
total area of physical contact, with a moderate external pressure, can be
tak-eu as 2p"lor. When the applied load is remot'ed, the two surfaces sepa-
rate out only when the elastic forces trapped in the regions around the
bridges are strong enough to break apart these metallic bridges. It is seen
that the softer the material, the better the pirmanent adhereoce.
In the solid phase welding processes, the four important factors are
(i) surface deformation, (ii) surface films, (iii) recrystallization, and (iv)
diffusion.
The surface deformation that takes place during weldiog is difficult 1o
measure. As such, in pressuie welding, the bulk deformation is used as an
index of the surface deformation and is expressed as
(for a sheet oforiginal and final thicknesses l; and
fr, respective!y),
t) tl
dr - di
x rcO% (for a circular specimen of original and final
d; diameters d, and, d1, respectively).
The strength of a weldcd junction increases with increasing bulk deforma-
tion. Moreover, no weldment takes place below a certain critical deforma-
tion. The amount of deformation necessary for obtaioing a specific strength
decreases with increasing temperature. A stroDg weld may be made with
orJy lol deforination if the working temperature is quite close to the
melting point of the material. The ratio of the oxide hardness and the
parent metal hardness also effectively governs the amount of necessary
deformation.
The greatcst hurdle in solid phase welding is posed by the surface
oxide layers :rntl oil filnrs. The liquid films can be removed by heating in
hot wclding, ;rrrtl l.ly n)cans of scratch brushing in cold welding. The oxide
films can ulso lrt: rc<lrrccrt lo a ccrtain extent by scratch brushing. More-
ovcr, llrcsc oxirlc l;rycr'. (lrcrnli ltirrrl ;urrl brittlc) fracturc when thc prcssurc
is trpplicrl. A l;rlcl;rl urrvrnrrnl r, vcry useful (as in trltrasonic wcltlinl)
sirrcc llris tetttls lo roll lul','11t,', llrc lr:tllrttctttcrl oxirlc lrrycr rltto;r rclrttivcly
'+x rco%
3. 29O MANUFAcTURINc sctENCE
thick agglomerate. This results in a more metal-to-metal contact area.
An excessive oxide contamination is always harmful, resulting in a poot-
joint efficiency.
A solid phase welding done at the room temperature does not allow
recrystallization and grain growth at the interface. This reduces the ducti-
lity of the joint to some extent. An increase in working temperature not
only increases the ductility but also eliminates some other defects. The
phenomenon of diffusion, though it has not been studied extensively, has
an important bearing on the performance of a solid phase weld. The
shape and the size of the voids at the interface are modified considerably
depending on the amount of diffusion.
5.3 PRTNCIPLES OF FUSION (LIQUID STATE) WELDTNG
In a fusion welding process, the matcrial around the joint is melted in
both the parts to be joined. If necessary, a molten filler material is also
added. Thus, a fusion welding process may be cither autogeoeous or
homogeneous. Metallurgically, there are three distinct zones in a welded
part, namely, (i) the fusion zone, (ii) the heat affected unmelted zone
around the fusion zone, and (iii) the unaffected original part. The most
important factors governing a fusion welding process are
(i) the characteristics of the heat source,
(ii) the nature of deposition of thc filler material in the fusion zone,
klown. as lhe *'eld pool,
(iii) thc heat flow characteristics in the joint,
(iv) the gas metal or slag metal reactions io the fusion zone, and
(v) the cooling of the fusion zone with the associated contraction,
residual stresses. and metallurgical changes.
5.3.I HEAT SOURCE
A heat source, suitable for welding, should release the heat in a sharply
defined, isolated zone. IVlcreover, the heat should be produced at a high
temperature and at a high rate. The most common sources of heat include
(i) the electric arc (as in various arc rveldings), (ii) the chemical flame (as
in gas rvelding), (iii) an exothermic chemical reac(ion 1as in thernlit weld-
ing), and (iv) an electric resistance heating (as in electroslag and other
resistance rvelding prbcesses). The general character.istics of these hcat
sources are now discussed.
Emistion and fonization of Electric Arc
First of all, Iet us see how an electric arc iscreatcd and maintained betwccn
two electrodes of opposite polarity. Figure 5.1 schcmatically shorvs an
electric circuit used flor arc welding wherc thc work is thc positivc clcctrotlc
(called thc anode) and thc clcctrodc rod is thc ncl1ltivc clcctrotlc (crrllcrl tlrc
cathorlc). Initi;rlly, :t 1loorl cottlacl is lrtittlc lrclwct:tt lltr: clct:lt'orlt:;tntl tlrc
JOINIn-G I'ROc[ss[s 29t
rvork. l-hcrc.after, thc
bridges starr breaking,
elc'ctrode is withdrawn. As a
thus increasing the currcnt
result, lhe nretallic
density per bridge.
l-- lcct r
/ork
Fig. 5.1 Arc rvelding scheme.
Fina'y, the current dcnsity rises to such. a.high varue that the bridges start
ff"l;,*:;'i::n "onaiiion', tn'
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ort-oiioin ,n. surraces
-#[il.x j:=;,::::::,,Jj:]i:?1,.":;::*,[fi ;:"T""il
lhe anode.
mrng out cf the calhode ,.. ulro ,ii."","d towards
The rate at which thc erectrons are emittcd from a h.t surface is given by
I : 662 exp (_p,,0),
(5 3)
;lfi;t;;
amp/cm2, d is the absolule rernperarure, c is a consranr, and
p - gc;(kl)
(s.4)
uith e : charge of an.electron, I : .Boltzmann,s-constant,
and / (when
;::::f;: ?,T:ll"'
vorts) as *''
't'"'^io,.ic .,'ork runctiort'." g,' in ract, rb.
of / for sorne cornr
energy necessary to 'boil'ouiun .i..irJn. The varues
eq u a ri o n (5 3) rh;;'
":;1" :"f d a
:::I; J:,I:f f ,if; H: :;;i *:;I
:b"1i!:,T.'i::I.:";::t rr,*::,!,.,0. ; ;;;; becomes a
paragraph). fl.r. iJr.*,I" ;::^:l,Ionrzarron (as explained in the next
co,, i s i o n s i,.. ;- il q: : il r:i:H.J,,:t
i lliilm ;: :i" t:"xh;
t,o sers of elecrrons. The firsr ,.r, .ri,,la'by rhe
";,;;, ;.;ii.o p.l*"ry
;'','.'#' ;l i.r J i: ;;:: 1'.,, r oo,,,l'ur'rJ"or ou* erectrons, is prod uced as
r rodes, r r,. p,i,,,,," y .:i.llJ :ll ::,,iii i,,i.iii ; JI:: ;; f * ;ll *ir,, _rlX
"';'l':til:t;;lll
:li:1ll ;j:,
"
1,:i, l,:;;::l;i;,H:::,:. ::,:,r ,,,,*,-ii ,,," .,,..,,
rlirl;rrr:t.), (.)rrlcr rcrr (. .r r,,r,,. ,,, rr,,,r:,,ru,t; ;;.lT lT;i:, 11,,filii:l:":;..,Jl:llJ
;tl ;t t;,lt' rtl rl..,'rtr, r ltcli lr rr tlt ,ttAr. .So, rt it lnlvrl( t1,r,.,,,.1. .r,
4. 292 ilIANUFAC'TURING SCIENCE
Table 5.2 Ionization potential and thermionic
work function of some common
metals
Metal Ionization potential
(v)
6
(ev)
Aluminium
Copper
Iron
Tungsten
Sodium
Potassium
Nickel
6.0
7.9
4.t
4.4
4.4
7.83
8.1
5. l.
4.3
7.6r
4.5
2.3
2.2
5.0
before colliding with another particle (a neutral atom or auother electron),
it has a kinetic energy eEd. This kinetic energy is nothing but heat and
manifests itsell through increased temperature. The interparticle ccllisions,
taking place in the gap between tbe electrodes, give rise to a process
ce,lled tlternral ionization. Normally, these collisions are elastic and both
the momentum and kinetic energy are conserved. However, occasionally a
collision is such that an electron may be completely knocked out from a
neutral atom, producing a free electron and a positively-charged ion. Such
a collision is, of course, not elastic io nature. The ions thus produced are
attracled towards the cathode, as already explained in the foregoing para-
graph. The free electrons (earlier termed as the secondary electrons) help
the arc to remain electrically conductive. A definite amount of energy is
required to produce ionization in a given atom or molecule. This energy
(in electron volts) is numerically equal to the ionization potential (in volts).
The ionization potentials for different metal vapours are also shown in
Table 5.2.
Most of the ion-producing collisions in an arc are between hoi, neutral
atoms and molecules. To maintain the conductivity of the arc, only a small
fraction of the atoms need to be hot enough to ionize, whereas the rest of
the arc should be hot enough to supply the fast atoms. For most bommon
gases and vapours at the atmospheric pressure, the arc temperature is of
the order of 6000"C.
Arc struciure, characleristics, end porer Slructurally, wc oon distinguislr
{ivc tlrt)'crcnt zones in nn elcctric Irc. 'l hcsc nrc nr follows,
,.'.t,,,
JOINING PROCESSES 293
(i) Cathode spot This is a relatively very small area on the cathode
surface, emitting the electrons.
(ir) Cathode space It is a gaseous region adjacent to the cathode and
has a thickness of the order of l0-3 cm. This region has the positive space
charge, so a voltage drop is necessary as the electrons are tb be pulled
across this region.
(iir) Arc column This is the visible portion of the arc consisting of
plasma (hot ionized gas) where the voltage drop is not sharp.
(iv) Anode space This, again, is a gaseous region (thickness
=10-3
cm)
and is adjaccnt to the anode surface where a sharp drop in tbe voltage '-akes
place. This is because the electrons have to penetrate the anode surface after
overcoming the repulsion of the thermionically-emitted electrons from the
anode surface.
(v) Arrcle spot This is the area on the anode surface where the elec-
trons are absorbed. This area is larger than the cathode spot.
The potential drop across an arc is schematically shown in Fig. 5.2. The
Anode
Cathode
Potential
Fig. 5.2 Potential across arc space.
voltage drop shown in tbis figure.is for given spacing, current, and electrode
materials. A change in the materials alters all the values. However, a
change in the spacing and the current essentially changes only the drop in
the arc column.
It has been experimentally found that, for given spacing (and, of course,
etectrode materials), the voltage reduces up to a current value of 50 amp
(against the ohmic law of constant resistance) and increases thereafter, as
shown in Fig. 5.3. I'his can be explained as follows. Up to 50 amp of
currcnt, thc slrapc ol'tltc arc is almost cylindrical and the surface to volume
ratio ol u cylinrtcr <ler:rctrscs with incrcasing radius. Thus, a thick, high
clrrrcnt arc I,rst's lesr ltc:tl tttttl csscnliitlly brrrns hotlcr. 'l ltis rcsults in a
!tiglrcr c6lrlut:livity (lrrrl r ortrer;ucrrlly lowcr rcsislttttt:c) its t:ontJrltrcrl rvith rl
lhin, lprv t'rrrrcll 111s'. tlowrvcr, hcvortrl 50 tttttp ol t'ttttcttl, lltc itrc lrrrlpcs
(,)
c-
,J
!
Arc colunrn
Cathode soace
5. 29-t MA NUI.ACTURING SCIENCE
Current (amp)
Fig. 5.3 Current-voltage characteristic of arc.
out and thi current path becomes more than the atc gap which again in-
creases the resistance of the arc. Due to these two opposite effects, i.e.,
higher temperature and longer current path, the voltage drop remaies cons-
tant over a wide range of the current values.
As a first approximation, we can assume the conductivity of the arc
column to be independent of the arc length /. The electrode drops are also
independent of the arc length. l{ence, we can write the voltage drop across
the entire arc as
v : A -f Bt. (5.5)
rvhere I is the electrode drop aod Bl represents the column drop.
The voltage-current relationship of an arc (Fig. 5.3) determines the
required characteristics ot'the power source. In Fig. 5..1, rve consider trvo
different characteristics of the po,er source. The curve l8 represents a
flat characteristic, rvhereas the curve CD represents a sharply drooping one.
In this figure, two typical arc characteristics for two different arc lengths
(say, / and / ,- /l) are also indicated (see the dashed lines). The intersec-
tions of the characteristic o[ the source and that of the arc determine the
operating points. It can be easily seen that the stable operating points are
given by the intersections on the right-hand side (shown by the solid circles),
and not by those on the left-hand side (shown by the solid squares), of the
figure. This can be verified by considering a change, say, an increase, in the
arc current. At the points shown by the solid circles, such an increase
causes an increase in the voltage which, in turn, decreases the generator
(sourcc) current. Thus, any disturbance is automatically opposcd, and the
operating points return to their original values. At the points shorvn bythe
solid squares, just the opposite phcnomenon takes place, i.c., any distur-
bancc nrovcs thc opcraling points conlinuously away frorn tlrcir oriliinal
l<lclttions. 'l'hc changcs in thc :rrc currcnt lilr tltc l'() l)()u,(.r sorrrccs lirr
;r liivcrr t'lr;rn1lc irr lhc :rrc lcrrlitlr (lrorrr / lo I | /1ll rrrc :rlso rntlicatc<l
irr liit' .l
ln manual arc rvelding, an inadvertent change in the arc' length is
inevitable. However, this should not cause a large changc in the u'elding
current. This obviourr; ;,"k., the sharpty drooping characteristicdesirable
formanualarcrvelding.withaflatcharacteristic,forabigcirangeinthe
arc length, ttrere mai not be an-y
.point
of in{'ersection betq'een thc arc
and the source ctraracteristics and the arc nray blow out''For'an eflicient
striking ol tlie arc, it is necessarv that the.:"' til"llt
':"]:1t"
of the
source be high above the operatine voltage' Morcover' it is necessary to
have a quick response o[ thc source (low tinre constant) since the welding
process itself rs unsteady' The power to'-t:: shculd be such that it is not
damaged by short crrcuiring flor an appreciable length o[ time'
In a semiautomatic arc welding process' the arc is maintained between
the workpiece and
"
t;;; ;;i;h i a'iutn lorrvard at a constant speed as it
melts arvay from the tip' An iocrease
.in
the arc lcngth increases the
voltage [equation t:':tt lla, us a result' the current falls' The me lting rate
being dependent on the current' an increase in the arc length causes a
decrease in the mefting rate' Il the reduction in the current due to an
increase io the arc r""gitr'ir-rignifi"uo,, the melting rate decreases consider-
ably so that the
"J'i;;;n;turn-s
to.its original value' Hence' in this
case, for a stabl. ;;t;;i;;', a {lat characteristic of the power source
(Frg. 5.4) is dcsirable. ..-.-.r, ..,...{ rt.^re ic :rr
'l'ltt: Po*'cr o{':tn arc vrtrtcs u'i.tlt its lcngtlr
1:':tt
tl"lt::..an optrnlunr
lctt1,'tltltrlu,llit.lltlrcltl(:I)(),(.listtlltriltlrt.tl.,llris.i;llirtttttli:rrt:lcnStlt
(/.,,,) , :trt lrc tlr'lt'l tttiltctl :lr ll()ll"rvs I r)l :t l't'('ll lt'rrlllll' :':l" /l ' lrtst tltt' lttt'
r,,,ll.rll,'(l') ll rlt'lcltttlttr'rl lr()llt ('rlll'lllott ('r''r) llrcrr' ll()tll lll('('|()lllt('
,1,,,r,,, t.ll'.ll( (l
"'
'; ''; lltt' 'tt
t
""t'ttl
(/) r" 'l''l"rttltttr''l
l'rr lltr" r'tlttr r'l
o
al)
=
o
I
I
t
t
I
I
I
$ r--
tr
ra
it
1
a
I
o
t:r,
a
=
o
-Sharpli'
drooPing
Flat
o-'
JOINING PROCESSES 295
t+ lt
a
a
Ior cltrtt,gc in rrrc lcngth
fronrilol Jl
t----
Fis. 5.4 Changc in
Curtcnt I
arc current for a change in arc length'
I
t--
-st'? K.d
6. 296 IIANUFACTURING SCIENCE
the arc voltage. The product of these two, i.e., vI, gives the power (P1)
for the given arc length ir. This procedure can be repeated for various
values ofthe arc length and a plot of the arc power (P) versus the arc
length (/) can be obtained (Fig. 5.5). Now, the optimum arc length lepl csD
be easily determined from this figure. Since the electrode drop is utilized
ll
Arc length /
Fig. 5.5 Arc power versus arc length'
with a higher efficiency than the column drop, the actual optimum length
is a bit shorter than the optimum obtained from Fig' 5'5'
EXAMPLE 5.1 The voltage'.length characteristic of a direct current (dc)
arc is given bY
V : (20 * 40/) voits,
where / is the length of the arc in cm. The po*'er source characteristic is
approximated by a straight line with an open circuit voltage : 80 V and a
short circuit currcnt : 1000 amp. Determine the optimum arc length and
thc corresponding arc Power.
SOLUTION The power source characteristic can be written analytically as
80
7: (S0 - ffiI) volts.
The arc characteristic is given as
V : (20 f 40/) volts.
Equating (a) and (b), we obtain
8q-fSI:20+4ot
or
I '- (60 - 4o/)lmo
"'nP'
!
o
o.
3
t,
loo,
(a)
(b),
JoINING PRocEssEs 297
Hcnce, the power P is obtained from (b) and (c) as
P : VI: (20 + 40/X60 - 400# volt-amP'
For maximum Power,
t--n
dl
or
40(60
- 40/) - 40(20 + 40I) : 0
or
1600 : 3200/ or /: 0.5 cm.
So, the optimum arc length lop, : 0'5 cm when the maximum power of
the arc is
P-." : (20 + 40.+)(60 - 40't)1330
'ort-"*n
: 20 kvA.
In our discussion so far, we have talked of a dc arc' Every half cycle of
a50-Hzalternatingcurrent(ac)takes0.0lsec,whereasanarctakesonly
about 0.001 sec to reach the equilibrium state. Due to this quick response'
bothFig.5.3andequation(5.5)areequallyapplicabteforeveryhalfcycle
of an aJ arc as weli. It should be remembered, however' that an ac arc
must reignite itself alter every crossiog of the zero current instant. Reigni-
tion reqiires a voltage highir than the normal arc voltage. The process of
reignitionofanarcisfacilitatedbythepresenceofionshavingalow
iorfzation potential. So, the electrodes for an ac arc welding are coated
,"iit po,urrium silicate binders, whereas those used for a dc arc welding
are nlrmally coated with sodium silicate. From Table 5.2, it is readily
seenthatpotassiumhasalowerionizationpotentialaScomparedwith
sodium.
Chemical Heat Source
Acetylene(CzHz)isthenostcommoDchemicalheatsourceandisusedin
a chemicat gas flame. In the presence of excess oxygen' it burns according
to the reaction
CzHz * !O2 '= 2COz l- HrO + beat (/H) (5'6)
Theamountofherrtlihcrrtted(ltI)isl.275xl06kJikg-moleoIacetylene.
If nryg.n is prcmixerl rvilh ncc(ylene (onc-to'one :nole ratio)' then the
conrhttstion rettcliolt ts
(c)
Clzllr I Or , ?('(l I llr I lreul (//Ir) (s.7)
7. 298 MANUFAcTURINc sclENCE
with /I{ : 0.448 x 106 kJ. The carbon monoxide and t}re hydroge
produced later burn, Producing
AH, - /H2:0.827 x ltr kJ/kg-mole
of acetytene. However, this heat, since it is generated over a large volu
and at a low temperature, does not add much to the welding proccss.
Once thc amount o[ heat tiberated (AH) is known, we can rough
estimate the maximum flame temperature with the assumption of an adia
batic flame. This means that the entite AH Ieaves the flame only throu
the heating of the reaction products. Care must be taken to subtract t
tatent heat from AH if any of the reaction products undergoes a change
phase. The entire reaction is assumed to be completed at the room tempel
iure (say, 0e). Then, the flame temperature (01) can be computcd from t
equation
ZEI : lH - (latent heat) : z [o^' ,c;01 ao.
. n Jop.
In' equation (5.8), the summation is taken over ,, moles of each of t
reaction products and Cr(d) is the molar specific heat capacity of
products which vary with the tcmperaturc. For reaction (5'7), the
(5.8
temperature obtained is around 3560"C, whereas the measured temperat
of the flanre varics frcm l280'C (minimum at tlre tip) to 3250'C (maxim
at the core).
Another chemical source of heat, commonly used for rvelding, is t
reaction
8Al + 3Fe304 :2Fe * 4Alz0r + AII
where lH :0.242 x 106 kJ/kg of atomic weight of the contained
The adiabatic temperature is calculated to bc of the order cf
Reaction (5.9) is utilized in rvhat is known as thermit welding'
Contect Resistrnce Heat Source
The electrical resistance heating, as alreaCy stated, too is a heat source
This may be done either by utilizing the contact resistance of the in
(5.e
oxygen
3000'c
(as in various resistance u,elding processes) or by utilizing the resistance
a molten flux and slag (as in electroslag welding).
wc havc already noted in Section 5.2 that when two metallic surfr
are brought into contact, only a small fraction of the apparent area rs i
actual metal-tc-metal contact. When a current is sent through such
ioteiface, all of it is carried by these tiny metallic bridges. Thc oxide I
in contact cdrry no current. As a result, the current flow is constr-icted,
intlicated in Fig. 5.6. Due to this constriction, the resistance to the flow
current increases, and this rncrtment is termcd as contact resistance.
estimate of the ordcr of magnitude of this resistance can bc obtaincd
idealizing theconstricled current flow (as shown in I;,g.5.7) witI the ltrllow
ing assumptions;
8. 298 MANUFACTURING ScIENCE
witb AH2:0.448 x 106 kJ. The carbon monoxide and ttre hydrogen
produced later burn, producing
AH, - AH2: 0.827 x lff kJ/kg-mole
of acetytene. However, this heat, since it is generated over a large volume
and at a low temperature, does not add much to the welding proccss.
Once thc amount of heat liberated (AH) is known, we can roughly
estimate thc maximum flame temperature wit.h the assumption of an adia-
batic flame. This means that the entire AH leaves the flame only through
the heating of thc reaction products. Care must be taken to subtract the
latent heat from AH if auy of the reaction products undergoes a change of
phase. The entire reaction is assumed to be completed at the room tempera-
ture (say, 0p). Then, the flame temperature (d1) can be computcd from the
equation
(5.8)
In equation (5.8), the summation is taken over ,, moles of each of the zr
reaction products and Cr(d) is the molar specilic heat capacity of thcse
products which vary rvith the tcmperaturc. For reaction (5.7), the ffame
temperature obtained is around 3560'C, whereas the measured tenrperature
of the flame varics frcm l280"C (minimum at the tip) to 3250'C (maximum
at thc core).
Ano'ther chemical source of heat, commonly used for rvelding, is the
reaction
8Al + 3Fe3Oa :2Fe | 4Al2O3 + AII (s.e)
wherc lH:0.242 r 100 kJ/kg of atomic weight of the contained oxygen.
The adiabatic temperature is calculated to be of the order cf 3000'C.
Reaction (5.9) is utilized in what is known as tllermit r+'elding.
Contrct Resistance Heat Source
The electrical resistance heating, as alreaCy stated, too is a heat source.
This may be done either by utilizing the contact resistance of the interfaces
(as in various resistance n'elding processes) or by utilizing the resistance of
a nrolten flux and slag (as in electroslag welding).
We have already noted in Section 5.2 that when two metallic surfaces
arc brought into contact, only a small fraction of the apparent area is in
actual metal-tc-metal contact. When a current is sent through such an
inteiface, all of it is carried by these tiny metallic bridges. The oxide Iayers
in contact carry no current. As a result, thc current flow is conslfictcd, as
indicated in Fig. 5.6. Due to this constriction, the resistance to thc llow of
current increases, and this rncrement is termed as contact rcsistancc. An
estimate of the ordcr of magnituric of this rcsirl:rrrcc can bc obt:1islg1l [y,
idcalizinli tlrcconstrictc<l t:ttrrtrtl flow (rrs slrowrt rrr I ,11. 5'l) rvrllr tlrc lirllo*
illl{ ;rlrtrrl)l ron.
ZH: lH - (latent heat):
l[lr'*,,c,O1
ao.
n
-fE--ra!4
tt'
....t-|=
- In terfacc
#.
-
--
hr--
'l'[etallic bridric
.;
Fig. 5.6 Formation of metaltic
bridge.
JOINTNG PROCI]SSES
Fig. 5.7 Idealization of constrict-
ed current flow.
(s.12)
(i) All bridges are of uniform size and sphericar shape rvith radius 11.
(ii) All bridges are uniformll, spaced at a distance 2r2 apart.
(iii) Thc constriction effect due to."th br)dge is restricred rvithin a con_
centric sphere of radius rr.
(iv) Each bridge is o[ zero resisrance.
No*,, if there are , bridges pcr unit area, then rhc contact res;stance per
unit area can be carcularec fiom the resistance ofeach sphericar constriction
and considering , such paths in parailel. Each sphericar constriction consists
of trvo identical hemispheres in series. The resistance of each hemispherical
constriction is given by
whcrc p is the resist,ivitl' or- rhc nrateriar, (r, - r) is ttre Iength of the current
path, and s is the geornelr.ic mean area of the two bemispieres or raaii 12
and 11, respectively. Thus,
5:vt12,$@{:2trr2r1.
Substituting this value of S in equarion (j. I0), we obtain
R:P(tl-rr)==L
Irf2t1 2tr1
R:p(r2-rr)iS, (-5.10)
(s.r l)
since 12 > rr. Hence, the totar constriction resistance per unit area is
given by
p-:? L: p.
- tt 2nrt nnrl
ln thc abscrrcc .,l rlr. rrrrt rr:rt c, rhc rcsistancc of llrc sanrc path is ncgrigibrt..
'l'lrus, thc c()nrirr:I r('sr:,r;ur(c ;rcr rrrrir :lrc:r clu) llc t:rkclr;rs rlrrrr 1irvt., lry
<'t1rr:rliorr (" l?) I.xPcrrrrrr.rrl,, ,.lrou, llr;rl llrr.;rsstrrrrPltorrs lt..rrlrnli lr) (.(llt;tll()n
1 l,)) rlo nol (;ut,,(. iln (.urrt ltrol1. lt111s1 ti),,. So, lltr.rurrl;rt.l t(,r,tfrliul((.
Bridge o[.radius 11
Zonr'of irillue,rce
9. 3OO MANUFACTURING SCIENCE
unit area can, finally, be taken as
' R" : O.8iplbrr). (s. I 3)
The rate of heat generated by this contact resistance with an applied volt-
age Y is Y2lR" per unit area. However, after a very short time (=0.001 sec),
the contact resistance drops to about G)-tn of its original value. This is
mainly due to the softening of the material as the temperature increases.
As the material softens, the value of the quantity (zr1) used in equation
(5.13) increases. This effect is more predominant than the increase of the
bulk resistivity (p) with the temperature
EXAMPLE 5.2 In a resistance wetding process, the applied voltage is 5 V.
Determine the rate of heat generated per unit area with 25 bridges/cm2,
each bridge having a radius of 0.1 mm. The resistivity of the material is
given to be 2.x lO-s ohm-cm.
SOLUTION '.fhe contact resistance per unit area (R.) from equation
(5.13), with n :251cm2, is
^.
-
o'-8I x 20 { l-o-5
: i.oooz ohm-cmr.
rrc
- 25xzrx0.0l
Hence, the rate of heat generated per unit area is given as
.n_5x5_-.a-.
R" O.ffi w/cm2
: 1.136 x lOs W,,cm2.
5.3.2 MODES OF METAL TRANSFER IN ARC WELDING
The depth of penetration, the stability of the weld pool, and the amouot
of spatter loss depend, to a Iarge extent, on the mode of metal traEsfer trom
the consumable electrodes. various forces cause the transfer of metal into
the weld pool. The mode o[ transfer depends on the intersection of these
[orces and governs the ability of welding in various positions. The major
forces which take part in rhis process are those due to (i) gravity, (ii) surface
tension, (iii) electromagnetic interaction, and (iv) bydrodynamic action
of plasma.
The force of gravity may be a retaining or a detaching force, depending
on whether the electrode is pointing upward or downrvard. But'the surface
tension always teDds to retain ttre liquid drop at the tip of the electrode.
This force depends on the radius of the electrode, the capillarity constant.
and the density of the Iiquid metal. The electromcgnetic force,'known as
the Lorentz force, is set up due to the interaction of thc electric currcr)t
u'ith its own magnetic ficld. This force acts in the direction of thc currcnt
rvhen the cross-scction of thc con<tuctor is increasing in thc rlircc;tion ol'tIt:
(:urrcnt. Sintilarly. llrc firrce lrcts in lhc rlrrcr:liolr oPPosilc lo lllrl ol'llrt_.
('rrrrcnl il llrc cross-scclt()n ol the corrrtrrcl(,r l rcrtrrcitrg rlr ltrc dirccliorr of
't'
JorNrNG PRocESSE.S 301
the current. Figure 5.8 cxplains horv this force accelerates the process of
separation of a droplet which has started to separate out. The hydrostatic
pressure is created due to the magoetic force. At a high current density,
this pressure elongates the liquid drop and also adds to its stiffness. As a
result, the liquici drop is projected along the line of the electrode, indcpen-
dent of gravity.
EIect rodc
Lorentz forces
Wcrrk
Fig. 5.8 Separation of droplet. i
The piasma of the arc also causes the drop to be projected to*,ards the
rvorkpicce, whereas a high evaporation ratc from the surface of thc drop
tends to rnove it in the opposite direction.
All these forces interact in a complicated manner and give rise to two
broad classes of metal transler, namely free flight tiansfer and short circuit
transfer. In the former, the liquid drop travels freely in the arc space, i.e.,
gets completely detached from the electrode before contacting the work-
piece. The free flight transfer may be (scc Fig. 5.9) (i) gravitational,
I;ig. 5.9 Types of metal transfers.
(ii) projcctctl, irrrrl (rir) rcpcllt:tl. Whcn the transfer is gravitational, thc
Jlrc<lolltilt:tltt lirtr't't', llt;rl ol 1'rirvity and l!rc mollcn d161, [alls:rlrrr.sl
vcrlit::rlly frottt lltt' t'lrr ltorlr tttlo tltc wclrl pool. If llrc clct:trolrr:rlirrclic
firrt:c, llrc plrs jcl, rrrrtl llr, lti'rltrrrlrtlic J)rcsstrrc ltic l)rc(l()ntut;rnl, lltcn llrc
rltort ir girett att tltilrnl aeiclCralton lowtrrrls llrc rvclrl nool. nrrrl tlrrrr
Cu rlc'nl
<lirection
Projcctcd
10. NTA NUFAC'[URING SCIENCE
projected into ii independent of gravity. If the resulting force directs the
drop away from the weld pooi, then the repelled transfer occurs. This
situation is encountered when COz is used as the shielding gas, particularly
at low and moderate currents. Obviously, the gravitational transfer is not
very reliable, and the repelled transfer is undesirable since it causes too
much of a spatter loss. The projected transfer is seen in oxide coated
carbon steel electrodes where a strong gas jet is set up.
In the short circuit transfer, the liquid drop at the tip of the electrode
gets in contact rvith the weld pool before being detached from the electrode.
Thus, the arc is momentarily short circuited. However, due to the surface
tension anii the electromagnetic force, lhe drop is pulled into the weld pool
and the contact with the electrocle is broken. This re-establishes the arc.
Figure 5.10 schematically shows a shcrt circuit transfer. Here, the spatter
ig. 5.10 Short circuiting transfer.
Ioss is minimum and can be achievcd by conirolling the gap and the other
welding variables. This type of transfer, beirrg independent of gravity, is
suitable for overhead welding purposes.
5.3.3 HEAT FLOW CHARACTERISTICS
A study of heat flow characteristics can provide an estimate of the mini-
mum heat input rate required to form a weld of a given width. Moreover,
a recognition of the major variables controlling the thermal cycle (i.e., the
heating and the cooling rate of the heat affected zone) is essential lor a
successful fusion rvelding. In the fusion welding processes, the heat source is
moving, except in spot welding where the sourceis stationary. Once the steady
state is reached, even with a moving heat source, the temperature distribu-
tion relative to the source becomes stationary. The most convenient way of
analyzing such a problem with a moving source is to assume the source as
srationary and the workpiece to move with the same velocity in the oppo-
site direction. This speed is called the welding speed. Two different types
ofheat sources can be considered. In most cases, the heat is libcraicd in a
small zone which is idealized as a point source, and thc hcat flow frorn thc
source is three-dirnensional. In a fe rv cascs, e.g., in butt wcltlinll of'rclir-
tively thin platcs, thc hcat is libcr;rtctl ulorrll:r lirrc:rn<l thc lrc;rt s()ur(:c i
itlcaliz.ctl rts:r lirrc s()llrcc. lrt sttt;h $rlttllr()ns, llrc ltc:rt llow is lwo rlrrrrcrr.
siottitl, 'l ltest: lwo lYpes ol'lteul soult'e'l llrc cxl)l.lttlerl trr l't,{. I I l. lror rtlr
#
;
i
I
I
i
JOINING PROCESSES 303
(a) Point source. tenrperature
: [(x. 1;.:
( b) Linc source; !emperaturc
: -f(x, y)
Fig.5.ll Point and line heat sources.
elaboratc analysis of the temperature distribution in the *orkpiece under
various situations, see the Iiterature. The available results include those of
infinite, semi-in{rnite, and finite medium, each with point and line sources.
Of these results, the most useful is the one n'hich gives the minimum heat
input rate necessary for maintaining a given wiCth of the weld. For a three-
dimensional heat source, this is given asl t
(5. l1)
e: Fswkl^G +fr),
where
Q: rate of heat input (W),
rr, : width of the weld (m),
k : thermal conductivity of the work material (W/m-"C),
d- : mglting point of the work material above the initial
temperature ("C),
u : speed of welding (m/sec),
cr : thermal diffusivity of the work material (m2/sec)
k
- p,
P
-
uvuor r.)r
'
L
-
rPuvrrrw r
lirr lr two-dimcnsional hcat sourcc, thc corresponding equation is git'en by
() t<t0,,,/r1| I lox'), (5.1 5)
tl arx artet. J.1 .. I,lrl{llutgy ol Wrlrlrrrg, llturrrrg ttrrtl Solrlctrrrl:, Allcrr ttttrl I Irtwirt,
l.r)il(l([r. l')lto
Weldirrg
11. ilri
304 NTANUFACTURTNG scrENCE
where /r : plate thickness. It is clearly seen from equations (5. I 4) and (5. I 5)
that the most important parameter is uu/a.
, It should be noted that the theoretical results fail to accommodate many
practical considerations, e.9., inhomogeneous conducting medium (liquid
within the weld po<il and solid outside), and absorption and rejection of
the latent heat at the forward and the rear edges, respectively, of the weld
pool. However, equations (5.14) and (5.15) are still useful for providing a
good estimate.
In arc welding with short circuit metal transfer, the heat input rate is
casily seen to be
Q: CYI, (5.16)
where
Y: arc voltage (V).
I : arc current (A), :
C : fraction of total time during which the arc is on.
If the heat input rate given l-ry equation (5.16) falls short of that given by
equation (5,14) or equation (5.15) (as the case may be), a lack of side
fusion occurs.
EXAMPLE 5.3 In a butt welding process using arc welding, the arc power
is found to be 2.5 kVA. The process is used to weld two steel plates, each
of 3 mm thickness, as shown in Fig. 5.12. Determine the maximum possible
ABI
I-.AX* -1,,,
T
Fig. 5.12 Work for butt welding process.
welding speed. lt is assumed that the metai transfer is of shorr circuit type
aud the arc is on for 857o of the total time. Given
dsiccr : 1.2 x l0-5 m2/sec, ksrccl : 43.6 WimsC.
The melting point of steel: 1530"C and the ambient tsmperature:30oC.
SOLUTION The rate of heat input is given as
Q: CVI [using equation (5.16)] r
: 0.85 x 2.5 x 103 W : 2.12 x [0] W. (a)
The minimum width of weld to be rnaintairlctl is givcrr by
w ^ AB .,. 2r/1 nrm :' 2{7 x lO '' nr.
JotNrNc pRocEss[s 305
Also,
0-: 1530"C
- 30'C.= l500oc, h: Jy l0-r mnr.
As in the butt welding of thin plates, so too here the source can be approxi-
mated as a line source. Thus, using equation (5.15),
Q:8x41.6x 1500x 3 x 10-3(0.2+H). (b)
Equating Qftom equations (a) and (b), we obtain
2.12 xl0r : 8 x 43.6 x I5 x :10.2 1 fl;
or
o.l + 911': l.l-i or lY : r.os.
' 4t 4u.
Since
r('-;n : 2{3 X l0-l m,
we have
umax: 1'#rTr|21x l0-5 misec:0'0146 m/sec' r
In fusion welding, the otirer important heat flow variables are the cooling
rare and the thermal cycle. A mathematical analysis leads to 'the follorving
conclusions which are in accordancc with the practical experience.
The cooling rate increases with increasing u'eld speed, and for a given weld
speed, the cooling rate increases with decreasing size of the weld pool. For
cxample, in eleciroslag weiding, since the weld pool is large and the rvelding
speed is very slow, the cooling rate is seen to be very low. On the other hand,
in automatic tungsteo-ine rt gas weldiog, the process is operated at a very high
speed with a small weld pool, and this results in a very fast rate of cooling.
The thermal cyclc at any point in the rnedium is mainly governed by its
distance from the heat source. Obviously, with increasing distance from the
source, the maximum temperature is lower and the temperature lags further
behind the source. Figure 5.I3 sho.ws the variation of temperature with
time at different distances from the source.
5.3.4 GAS METAL REACTION
The absorption of gas in the weld pool from the arc or the flame plays an
important rolc in nrosl fusion welding processes. This is due to the possi-
bility of a rcaction l)clwecn tlre gas and thc liquid metal in the weld pool.
-I'hechancesof suclt n rc;r(:lr(,n nre cnhanced by the high temperature of the
11ns nnd the rttclll.
't'lrerc cln l)c tw(, rlillcrrtrl lygre r of reilcliorls. ln rtnc lype, thc Sils ttlily
iurl get {irrolvcd in tlrc hqultl nrclrl. ln lhc rcconrl typc, on tlrc olltcr ltttttrl,
12. f'IANUFACTURING SCI EiiCE
Tirne
Fig. 5.13 Variation of temperature with time at
different distances firom source.
the gas and liquid metal may react chemically to form a stable compound-
In such a case, the situation may be considerably different, dcpending on
the degree of solubility of the reaction product in the weld pool,
As long as the reaction product is soluble, it does not prevent the for-
mation of a rveld pool. Horvever, it may result in an embrittlement of thc
welded joint. An insoluble reaction product produces either surface scales
or slags, and thus physically interferes rvith the fcrmation of the weld pool.
In thii case, either the excess gas to the weld pool is prevenled or a flux is
used to dissolve and disperse the reaction product'
When the gas gcts dissolved in the liquid weld pool, there is obviously
no hindrance to*,ards thc formation ol the weld pool. Ho$'cvcr, aS thc
solubility decreases on coolin-e, degassification starts and, with suitablc
nuclei, bubbles may form. If these bubbles are trapped, then the quality of
the weld is very poor. Even otherwise, this degassification makes the joint
porous. This defect is very common in a metal $'hose oxides are easily
ieducible by hydrogen, and can bi: avoided by the addition of :t suitablc
deoxidant in the filler metal.
Another important gas metal reaction is the diffusion of the gas into the
parent metal from the weld pool. When the temperature of the thermal
cycle is high, this diffusion process may be quite fast. The diffusjon of
hydrogen into the heat affected zone may, again, cause an embrittlement
of the. welded joint.
5,3.5 COOLING OF FUSION WELD
The three important cffects intimatelv connectcd witlr thc cooling ol'lr
fusion wcld arc (i) contraction, (ii) rcsidual strcss, and (iii) nlcr;rllurgicsl
phasc tr;rnsfrrrmntion. All thcsc c,I6-cts signilicuntly control thc qu11lrty
r.rf rr wcld.
{J
L
o
o-
.o
F
Distaiice ll'orn
heat sourcc
.lOINING PROCESSES 307
(i) Contraction During the freezing of the weld pool, a decrease it] the
volume takes place. Moreover, the direction of freezing, and thus the effect
of contraction, depends on the type of joint, as explained in Fig. 5.14.
Partly frozen Conrplctcl_v frozen
(a) Outside cor:le r (eroclrc)
Partly frozen CcmPlct.-lY frc'zcn
(b) Inside corner (trce)
Fig. 5.14 Solidificatiorl pattcrns ltrr groove rvelds'
Figure 5.14a shorvs the solidification of a groove lveld.. Here, the solidifica-
tion front moves simultaneously from the bottom up$'ards and from the
sides in$,ards. Further, the molten top portion always makcs up for the
contraction in the inner layers and piping occurs only in the surlace Iayers.
Figure 5.14b shows the solidification in a corner joint where more cold
metal is near the surface of the rveld pool. Thus, the top of the weld pool
freezes faster and a Iong piping thioughout the joint may occur'
(ii) Residual stress During the fusion'welding of plates, as the weld
pool contracts on cooling, this contraction is resisted by the rest of the
plates (which have not melted). As such, a tensile stress is generated in the
wetd, and this is balanced by the compressive stress in the parent metal.
Figure 5.15 shows a typical distribution of these stresses in a plate weld.
This residual stress may result in the cracking of a brittle material and is
not important as far as a ductile material is concerned'
(iii) Metatlurgical changes Thcse changes are due to the heating and
sutrsequent cooling of thc wcld and thc hcat affcctcd zones of the parent
nrntcriflls. such clranllcs sig,nilicilrrtly i.llcct lhc tlurrlity <lf tltc wcltl. Thc widc
vuricly pl'clrnnlics lltitt ttttry tlkc pltrcc <lepcnd ott vitriott.s faclprs, c.1',.,
(n) llro lllturc ol' lltc trlutcrinl, t,c., rittglc-plture, lwo'pltttse'
Molten metal
w
13. 308 MANUFACTURING SCIENCE JOINING PROCESSES
Tensile strcss in rvcld Original
workpiece edge
Melt boundary
oarse I Recrvstallized
I'*-, jrains
Conrpresstve slress
in parent mctal
Original cold
worked metal
Liquid
Heat affected zone
Fig. 5.16 Characteristics of rvelded joint in putc lrretal.
Prccipitation
Fig. 5.17 Characteristics of rvelded joint in precipitation hardened alloy.
metallurgy oI such alloys, and must be clearly understood to yield a satis-
faclory ftrsion wcld. AIso, a decision on the postwelding heat treatment to
bc givcn rrrrrsl lrc l;rkt'n lo rjslore the desirable characteristics of the joint.
5..r I'tatN('lrt,r's ()li s()l,ll)/l,lQt)ID s'I'A'I)i JOINING
'l lrrcc rlrllclr.trl pr,rr r .,ir',., n'ulrr'ly. lrl:tzirt1i, s,rlrlctiltl'.,;trt<l ;ttlltc',ivc lrotttltrrli
o
o
t<
!
60
Fig. 5'15 Stress distribution rn
Plate weld.
(b) the nature of the prior heat treatment' if any' and
(c) the nature of the prior cold working'
We now consider typical examples of these changes'
Let us consicler the fusion *.lding of two pieces of a single-phase material'
which have been cold worked to yield a desired grain orientation' These
coldworkedgrainsresultinahighstrengthandlowductility.However,
on fusion weiding, a random grain growth again takes place
.within
tbe
melt boundury, *hi"h, in turn, results in a low strength' Within the heat
;.;;;;;", tu" gr"in, become coarse due to heat input (annealing)' and a
pu.iiuf r.".Vrtuttirution also occurs' In either case' the streogth falls much
below that of the parent material' With increasing distance from the melt
ioroOury, the grains become finer until the heat unaffected zone with
"f.rt",.J
grainJi, reached' AII these changes are shown in Fig' 5'16'
Letusnowconsrderatwo-phasematerialwhichderivesitsstrength
mostly from precipitation hardening' In this case' the streogth within thc
melt boundary is again too low' But' in the immediately adjacent heat
affected zone, the thermal cycle results in heating and quenching followed
ty-f,r.itt., aging. This aging process recovers some of the strength' The
material beyond tnis zonJis only overaged due to the heat of ryrlding and
;;;;;; u."a.r with the loss of strength- Hence , the strength and ductilitv
nhri.tioo near the joint are as shown in Fig' 5'17'
Thetwoexampleswehaveconsi<lcretlclcarlyttetntlltslratclltlrtvarirlus
typ"* .rr mcrallur!ical changes arc possitrk: rtrtI irr1,i wclrlrrrl" p:rrtit'rrlltrly firr
.',rr,pt", irll()ys' 'I'hcsc cltltlr["es lltr ;iovrltteri lry llre rl()tl c(lllllll)Iltrllr
Overaged
Original precipitation
hardened nretai
Heat affected
zorte
Strength
14. 310 MANUFACTURINcScIENCE
are grouped under solid/liquid state welding. The physical phenomena a-sso-
ciated with each of tbese processes are essentially the same, and differ
imainly in the metallurgical aspects. In these processes, the bulk material is
not melted. AIso, a molten filler material is used to provide the joint.
5.4.I SOLDERINC AND BRAZINC
The soldering and brazing processes are carried out by allowing a molten
filler material to flow in the gap between the parent bodies. Obviously, the
filler material has lo have a melting point much lower than that of the
parent bodies. When the filler material is a copper alloy (e.g., copper-zinc
and copper-silver), the process is called brazing. A similar process with a
lead-tin alloy as the filler material is called soldering. The most commoD
heat source for these processes is electrical resistance heating.
The copper-silver phase diagram is shown in Fig.5.l8. Here, we see
that by varying the composition of the alloy the flow temperature can be
controlled in the ratge 750-980"C. Similarly, the lead-tin phase diagram
(Fig. 5.19) indicates a flow temperature in the range t60-300"C.
d+L
"*F
,OININC PROCESSES 3I I
wherc y57y is the surface free energy of the solid/vapour interface, /s/r- is
the su'face free energy of the sorid/riquid interface, and ytru is the surfacc
free energy of the liquid in equilibrium with its vapour.
-The
surface free
eoergy' if expressed in Jlmz, is numerically equal to rhe surface tension
force expressed as N/m. Now, for a liquid drop in contact wittr a sorid
surface (Fig. 5.20) having a contact aogle a, we see that
7s/v : 7slr. * 7rlv Cos a.
The condition for wetting is a : 0 and this can be written as
7s/vo:Ygr*yuvt,
(5. r 8)
(5. I e)
(J
o
E
F
Two distinct advantages of this class of joining processes are obvious.
First, the heating of the parent materials is negligible to cause any change
in their structure or properties. Second, these processes (as mentioned in
Section 5.1) can join two materials which are insoluble in each other.
To produce a perfect joint, the eotire gap between the parent bodies
must be filled up by the filler material. This is achieved essentially through
a capillary action. Thus, the sprcading and the wetting capacities of the
filler liquid play a predominant role towards producing a satisfactory joint.
In.some cases, these properties even dictate the composition ofthe alloy to
be used. In what follows, we shall briefly discuss thc adhesion bctwccn a
liquid and a solid surface.
The work of adhesion betwccn a liquirl untl l solirl is 1'.ovcrttt:tl by thc
surface frcc cnergy accordinll lo thc rclrttiorr
where v0 represents a saturated vapour. Thus, for a good wetting, ),slv
should be large. This exprains the difficurty of sordering or brazing grey
/ ttv
Fig. 5.20 Liquid drop in conrao wirh
solid surface.
cast iron whose surlace is contaminatecr u,irh graphite having at,ery row
surface energy.
The theory oflcapillary florv tells us two important facts, nantely,
(i) the Iiquid drop rises to a greater height rvith a reduced gap, and
(ii) the rate of rise is slorver with a reduced gap.
In fact, the optimum gdp maintained, between the parts to be joined, is
of the order of 0. i mm.
The strengrh of a typically brazedjoint varies with the thickness of the
joint in a manner shown in Fig.5.2l. Here, we note lhat an optimum
joint thickness (ro) exisls at which the strength is maximum. For a very
Iarge thickness of the Joint, the strength of the joint approaches that of
the
-brazing
alloy (o61".). Below the optimum thickness, the entire joint is
not filled up due to the strong resistance against the caoiilary flow. Hence,
the strength is low due to the lack of a perfect fit.
It can bc sccn tlrar thc maximum joint strength is higher than the
strcngth <>l-rLc lillcr rrr:rrcri;rr; rhis can be explained as follows. Usually,
thc yicld slrcss,[.rlrr'rrllc'rrrrrt.rirrl is lower than that of the parent mate_
riirls. Lct rlrc j.rrrt lrr' r,rrlrlr.r rr.rl r. ;r tc,silc loading of strcss o1 (Fig. 5.2?a).
Wttlt rrrt;rtusrn1l v;rlrtr'ol ,,1, tlrr. lrllt.r llllcri:rl lcrtrls lo yicltl arr<l fhc
I'(Pitt'r'ttl ttLrlcrr.rl; I (,rll, r rrr,rlr rr,rr) rrrrr.rrirr:cs rcn(r r() rr.srst rrrc yrr.rrrrnl:
1l,ct;rtr,,t: llrt. p:rtcnl nt llr.trrtl rlrrrt trrl ylcl(l rrl llrrs lo:rrlrrrli). I lre lcsrrllrrrl,,
700
.600
500
o
;
q
E
F
400
%C! o
I As, tOO
20 40 60 E0 lo0
60@40200
lSn 0 20 {0 60 30 100
%P6 t00 60 60 .10 :0 0
Fig. 5.19 Equilibrium phase dia-
gram of Pb-Sn alloy.
Fig. 5.18 Equilibrium phase diagram
of Cu-Ag alloy.
I
W^n,' ' Tstv I Yr tv Y"tt , tr t/)
15. 312 MANUFACTURING SCIENCE
Thickness o[ joint t
Fig.'5.21 Variation of strength of brazed joint
with joint thickness.
deformation takes the shape shown in Fig. 5.22b. The yield strength of the
iffO
"ii"V
t"orr*) is determined, by a uniaxial test' when the deformed shape
of
"
r""rurgui".-.p""ir"n AnCiOiakes the shape A'B'C'D' (shown by the
dashedlinesinFig.5.22c).lfADandBCareconsideredastheP-Finter-
faces (inOicated in Fig. 5.22a), then, in the presence of the parent mate-
lorNrNG pRocESsEs 313
rials, the deformed shape of the same specimen takes the shape A,B,C,D.
(Fig. 5.22c) as in Fig.5.22b. The deformed shape A'B,C,D" can be
obtained from ABCD by the simultaneous application of a constant tensile
stress (o1) on the faces AD and BC, together with the appli.cation of a
varying lateral tensile stress (o2) on the faces AB and CD. The magnitude
of the lateral stress o2 is maximum at A and, B with the minimum (o2-)
occurring at the midpoint of lB.
Now, as o1 is increased, the joint fails at the midpoint of AB. Using the
maximum shear stress theory, we find the joint fails if
Ol-o2m:Onllcr
or the strength of the joint
ojoinr .: ot : ofiltcr * oz*. (5.20)
Equation (5.20) clearly shows that o;oiot is greater than o611... As the joint
thickness increases, o2- tends to zero ([is. 5.22d1 and oloio, approaches the
value o[ o6s1...
5.4.2 ADHESIVE BONDING
The adhesive bonding process is nrost commonly used in the aircrai-t arrc
automobilc industries where sheet metals are joined in various configura-
tions. In it, unlike in brazing and soldering, there is no uncertainty about
the flow of the adhesive in the joint. This is so because the adhesive is first
applied on the surfaces and the joint is made with subsequent apptication
of heat and pressure. However, this advantage should not be overempha-
sized because of the inherent low strength of the resulting joint.
Trvo types of bonding forces take part in an adhesive joint. of these, one
is the van der waals force due to the constant movement of the positive and
the negative charges of molecules (see chapter l). The other is the polar
force, between the adhesive and the relatively brittle oxide film, due to the
dipole adhesive molecules. This force is normally several orders of magni-
tude higher than the van der Waals force.
The coefficient of thermal expansion and the elastic properties of the
adhesive normally diffcr very widely from those o[ the metals to be joined.
Therefore, the mechanical properties of an adhesive joint need a careful
examination. The factors that affect the strength and the other mechanical
properties o[ such a joint are:
(i) Thc r)irrurc rnd dimensions of thc joint. The strength of a lap joint
incrcascs wirlr rlr. .vcrlrrppcd arca and reduces with the joint thickness.
(ii) 'l lrt: (()rr,r( r ;rrr1'lc ;rr tlrc solid-liquid intcrface. In the joint, there is
:rlrv:rys ;r Jr,',"rlrrlrry ,l rrr :rrr bubble get(ing trappcd in lhc nrctal cavity.
'llrc r;rrlrrr:' /( r'l rl, l,rrl,lrl. r'. rlcrcrrrrurc<l by llrc sizc ;rnrl shlrJrc ol'llrc
t'lvrly lolit llrrr rr'irlr rl, r,rrlu.l rrrrl'le ,y' (lir1q. ?l) ll (.;ln lrr: slrorvrr
tlr;rl tlrc lt'rr"rlr'',1,i','. llrrrrqily lrr lrtoltrrll;rlr ir rt;rt.h lrolrr llrc (.;lvrly t,.
c
.g
b
()
a
o
@
c
o
a
o
P: Parent material,
(a) Joint belore deformation
F: filler material
(b) Detormed shaPe ot
filler material
(c) Strcss sysfcrn in fillcr nrittcri;tl (tl) (';rrc wlrclr ioint slrctllllll rs
crlrr,rl lo ltllct ltt;ttcrl;rl strctllitlt
l iP,. ?,1 t)clirrltltrliott t'ltttrttcletlrllr'r ol l'ritrcrl ;otttt ttttrlcl lr'tt"tott
16. 314 MANUFAcTURINGScIENCE
given byl
. r nE.l^ 'tlt2
o,: [-----::---iJ'.-r
whereE,v",2,EdysareYoung'smodulus,Poisson'sratio'andthesurface
energy, respcctively, of the adhesive.
t"t-or"o".i, the stress concentration factor due to the formation of a
meniscus, shof,n in Fig. 5.24, depcnds on the contact angle' The maximum
Fig. 5.23 TraPPed air bubbie in
metal cavitY.
(5.2r )
Fig. 5.24 Meniscus [or-
mation.
sires.s concentration factor increases continuously from about I to 2.3 as {
increases from 0 to 90". Up to a value d < 30", the maximum strcss con-
centration factor and the failure both occur in the body of the adhesive.
n*yood d : 30", the maximum stress conceDtration factor, and consequently
ttre faiture, shift to the interface. The ta'tter situation normally rcsults in
Iowerstrength.Inactualpractice,theadhesiveisextruded(bymeansof,
external pressurel from the joint to prevent the formation ol any meniscus
(iii) The residual stress and the stress concentration. The adhesive in the
.loiotiUriots due to both cooling and polymerization. This shrinkage results
in residual tensile stress in the adhesive, and consequently reduces the
streDgth o[ the joint.
If ; lap joiot of two metal sheets of equal thickoess t (see Fig. -5.25) is
considerei,-it can be shown that the stress concentration factor in shear
I t,
T
t- l-
A
I Adhesi""
Fig. 5.25 Lap joint using adhcsive'
It-.ancastcr, J'l:', MctallurBY
l,onrlon, l9ll0.
of Weltlinra. llrnrinS unrt Soldorin3, Allcrr ;ttttl llttwitt'
,OINING PROCESSL'S 3I5
due to dissimilar materials is given byr
x: {ffi'1rtz' (s.22)
where G. is the shear modulus of the adhesive and E is Young's modulus
of the metal. Other factors, e.g., shape and bending of the adhesive, also
give rise to stress concenl,ration.
EXAMPLE 5.1 Determine the maximum shear the lap joint shown iu
Fig. 5.25 can withstand. The joint is made betweeu two aluminium sheets
of 1.2 mm thickness with an adhesive thickness of 0.25 mm. The overlapped
length is 12mm. Given Ea1 :703 N/mm2, G.: ll.9 N/mm2, and the
ultimate shear stress of the adhesive z" : 0.6 N/mm2.
SOLUTION From the given daia, we know t: i.2 mm, /a:0.25 mm,
and c: l2 mm. Substituting tbese vatues in equation (5.22), we obtain
t2x tz;ffit,p :2.te.
x:(zxzcnx
Flence, ihe maximum shear stress qhe joint can witbstand is
ta 0.6
",: i: ng:0.274 N/mm2.
The adhesives used in the bonding processes include epoxy, polyviJyt
butyrate, and nitrile rubber. One successful way of adhesive bonding is to
first apply a coating of pirenolic formaldehyde (in a suitable solvent) and
theu sprinkle a powder of polyvinyl formaldehyde on this coating. The
surfaces can then be clamped together under pressure and cured to a
specific temperature
5.5 VARIOUS JOINING PROCESSBS
k, this section, we shall briefly consider the various joining processes. In so
doing, we shall not go into the minute details of the technology of each
process. Instead, we shall attempt to correlate the science and mechanisms
(so far discussed) with the actual joining operations.
5.'.I SOLID PHASE WELDING AT ELEVATED TEMPERATURE
Depending on the nature of the heat source and the method of application
of the pressure, the solid phase welding processes can be classified as
(i) forge welding, (ii) butt weldiug, (iii) oxyacetylene pressure welding,
(iv) flash butt wclding, and (v) friction welding.
Forgc Welding
In forg,c wclding, iltc pntts lo lrc weldcd are heated in a furnace and then
tl .rnrarlcr, J.t., MetnllrrrgY ol WclrlittS, llrrr.ing end Soldeiing, Allcn and Unwin.
l.orrrlort. l9E(),
17. JIO MAIurAvr
hammered together to form thc weld. In the case o[ tubes, the welding
pressure is applied by the forgiag rolls. The amount of bulk deformation
varies in a wide range.
Butt Weldine
In butt welding, the surfaces to be joined are first brought in contact. Then,
they are heated by the passage of an electric current. Once the required
temperature is attained, the parts are subjected to an axial compression
(Fig. 5.26). This compression results in a lateral flow of the surface layers
Fig. 5.26 Scheme of electric butt welding.
(e.g., oxide) and brings the clean metal surfaces in contact. The applied
pressure is controlled accurately; it is held alinost constant with a sharp rise
near the end of the operation.
Oxyacetylene Pressure Weldiog
The oxyacetylene pressure welCing process is similar to butt welding. The
only difference is that here the joint is heated by an oxyacetylene ring
burner. In both the processes, a bulk deformation of the order of 5O may
take place.
Flash Butt Welding
ln flash butt welding, the parts are brought in contact with a light pressure.
The interface is heated by the passage o[ an electric current, as in butt
welding. However, the heating is continued till the interlace melts when
the dies (Fig- 5-27) are brought closer. Thus, the liquid nretal, along, w'ith
the oxide film, is driven into the die cavity. This brings the .rolirl, clc;rn
metal faces in contact under high pressurc lo mltkc thc wcld. It shorrl.l lrc
noted that the form of thc dic cavity cascs both tlrt' flow ol tlrc lirltri,l nrt:tirl
into it :rnrl thc lirral lrirnrning of[ o[ the ll;rrlr.
In lhe friction welding process, the parts to be welded are kept in contar.
and rotated rerative to each other. The interface i, rr.ut.a uotor" to fric-
tion' After the desired temperature is attaine.d, an axiar p."rru." is appried
to complete rhe werding. After the werding is completc,'ii" letaea p".ts
rorate toSerher as oo:
li1* untir stopped. one obvious limitation of rhis
process is rhat the parrs to be werded must have
"
,"t"ii;;;isymmctry. rt
shourd arso be noted rhat rhe interfacel"*, ,,J,rx,r" ,.a;ning of the
ffi:T:',..!l;"fi,:H::,"tioo,
anci consequentry the heat inpui,' .ur.iog rbs
5.5.2 ARC WELDING
Each of the forowing fusion werding processes uses an erectric arc as the
source of heat:
(i) Arc welding with coated elecirodes.
(ii) Tungsten-inert gas welding.
(iii) Consumable metal_inert gas welding.
(iv) Submerged arc wetding.
. Though a, these processes use an erectric arc as the source of heat, they
differ in many aspects, including the power source and the arc character_
istics. This will be appareot from the discussion that follows.
Arc Welding with Coated Electrodes
Man,al arc werding rvith coated erectrodes is the most cornmon werding
process (Fig. 5'29). The. process is applicabre for armost au metars and
alloys with thc cxccption of. pure
"opp..,
pure aluminium, and some
l:: .1:"i"
prinr ,,<r rcacrivc metars. The coating serves the folrow-
rn8 J)urPoscs:
(i) It srricrtrs lrrc wcrrr ,..r ri.rrr an atmospheric contamination by
crcurirrll :r srrir;rrrrc r:,r'.(',)r', rrlrrr,sfrrrerc un,r a .siog. T-h";i;;-;;ro rcfincs
llrc trtol(crr llrcl;rl
(u) lt rrr t., ;rr rr (,rnt..t ,,rr alhrytttll etcnrcrrls, rleorirtrrnls, turtl olttcr
JOIT{ING PROCESSES 317
Flash
Start ofproccss
Fig. 5.27
Friction Weldiog
End of process
Flash butt welding.
Copper e lectrodes
Welding
pressu re
18. 318 MANUFAoTURING sclENCE
elements necessary to Producc the
teristics.
desired arc and metal transler charac-
JotNrNc PRCCEsSES 319
Tungsteu-Inert Gas Welding
In the tungsten:inert gas welding process, the arc is maintained between a
nonconsumable tungsten electrode and the workpiece in a protective inert
gas atmosphere. Figure 5.29 schematically shows the process.'Any filler
Gas flow
regulator
Tungsten
electrode
Gas
nozzle
Fig. 5.29 Tungsten-inert gas welding equipment.
material needed is supplied externally. Normally, a dc arc is used with
tungsten as the negative pole. This is not possible for metals, such as Al'
and Mg. where the oxide layer persists if the workpiece is used as the anode.
This iayer prevents the formation of' the weld pool. The mobile cathode
spot can disperse the oxide layer but excessive heat is generated at the
tungsten electrode if this is used as the anode. Hence, an ac arc is used for
such materials. To avoid the melting of the electrode, thorium or zircorium
is added to tire tuogsten (to iacrease the melting point).
Argon is most commonly used to provide the inert atmosphere. Nitrogen
is sometimes used for weiding copper. This is a special type, costly welding
process used only for aluminium, magnesium, and othcr reactive metals.
To prevent the possible little contamination, an argon deoxidant is added
to the filler rod.
Metal-Inert Gas Welding
Figure 5.30 schematically represents a metal-inert gas welding process. Here,
the arc-is maintained between a consuma-Dle electrode aud the workpiece in
an incrt gas atmosphcrc. The coiled electrode wire is fed by drive roils as
it rnelts away at thc tiP. I-xccpt for aluminium, a dc sourceisusedwiththe
consurrrablc clc.:lnrrlc :rs tlrc Jrositivc terminal. The difference in this respect
u,itlr lhc turrltstcrr-irrt'rl y,rrs ut'klinli should bc notcd. For welding steel, a
slriclrlirrli i:i prrrvrrlt'rl lry ('()., lor lowcr c6st. Normally, a high currcnt
rl,'rrsity ttr lltc clct ltorlr' (r,l llrl otrlcr ,rl lO,(XX) artrp/cl1l) is usctl so t5lrt a
;rtr,1t'rlt'tl ly';rr'ol trrt'l.rl li.rrrrlrt tr',ttll.,.'llrc wcltlinl: clrrrcllt is irr tlr<:
trtttl'r l(l(l l(Xl rrrnr I lt' ltr,' r',', l', Irrttuutly trrclrtl lil llrrr:[ pllllCs 111111
lrllcl rrr'lrl'..
' Fig. 5.28 Arc welding with coated electrodes'
The thickness of the coating governs the size of the weld pool' With a high
ihi"to"rr, the weld pool is iound to be narrower and deeper'
The four most
"oro*oh "oatings
used in practice arc. (i). cellulosic coat-
ing, (ii) rutile coating,iiiri ri"'&ide coating' and (iv) basic or low hvdro-
gen coating. The firsi t*o "o"tiogs
are similar' the only difference being
that in the rutile coutiog the cont-ent of rioz (rutile) is somewhat more'
For the same thickness, the cellulosic coating penetrates mo.rc than the
rutile coating. On decomposition, the organic (cellulose) material generates
hydrogen and carborr *ono*ia" at a sufficient rate (o form the protective
gaseous atmosphere. Sio"" tht rate o[ hydrogen evolutiorl is high' the
Jhun"., of an embrittlement of the joint due to hydrogen are more'
In the irono*ia"
"ouiiog,
rhe gas evolved is less rhan that in the cellu-
losic and rutile coati:rg{'and the protection of the weld pool depends
heavily on the slag'
voids an embrittlement due to
The basic or low hydrogen coatlng a
hydrogen' Here, the
"o"tiog-"ontains
mainly calcium carbonate and calcium
fluoride. On decomposition, these generate a CO-CO2 mixture which serves
as the protective atmosphere' The rate of gas evolution is substantially
lower in this case. Mot"o'"', since CO-CO2 reduccs less (than Hz)' a short
arc length is maintained for full protection'
The nature of coating also cootrols the mode of metal transfer' In
geieral, the cellulosic, iutile' and basic coatings give rise to a short
circuittransfer,.,"he."astheironoxidecoatingresultsin.aprojected
transfer.
' The coating on the etectrode can be applied in various. ways- The wire
electrode can be dipped in the paste of flux which, on drying, lesults in thc
"ourirrg.
The coating'can also be applied by extrusion (as in thc cladding
op.i",ioo-sce Cha'pter 3)' Somctimes' thc brtsc wirc is li'tl throtrgh a
m'agnetic flux which is attractcd towartls lhc wirc rlrrc to thr' clcctric liclrl
gcncratctl<rnt[tcpilss:tllctll.cttrrcttl.Allrrxls;llr.ll)I()l('(.1(.(lllttrlttliltlt
i,rhrrltr elcctrrxlc l{) scrvc lltc lrtrl posc ol' lltc t o;tlttt}i
Torch
ha nd le
'orkpiece
19. Drive rolls
Guide or
contact tuk
Welding gun
320 MANUFACTURING
Gas flow
regulator
SCIINCE
Fig. 5.30 Metal-inert gas welding equipment'
Submerged Arc Welding
In submerged arc welding, the arc is maintained underneath a mass of
fusibte, granutar flux. ThJprocess is schematically shown in Fig.5.3l. First'
JOINING PROCESSES 32I
(i) Electroslag welding.
(ii) Spot welding.
(iii) Projectiou welding.
(iv) Seam welding.
Electroslag Welding
The electroslag welding process is particularly suitable for welding thick
plates. [nitially, the plates to be welded are set up vertically with a gap of
about 2-3 cm (Fig. 5.32). Also, the filler wires and flux are kept in this gap.
Fi IIcr rvire
e lect rodes
Elcctrode
Slag pod
Weld pool
Weld nretal
Water
coolcd
da rn Sta lt ing piece
Sectional vicrv of
clcctroslag u,eld
Fused flux
'eld
FIux dispenser
Granulated
flux
Direc tioa
of weld
Workpiece
Fig. 5.31 Submerged arc welding'
thefluxcontainingcalciumoxide,calciumfluoride,silicaissinteredto
ior-
" "ourr"
po*t"r. This granulated flux is then spread ovcr the joint to
be made. The consumable ei-ectrode is fed into this flux' A port'ion o[ the
flu.x melts to protect the liquid weld pool' whereas the rest of the flux
shields the arc. Both ac and dc sources are used with a welding current in
;;;-;;iOO_ZOOO amp. The process is used to have a thick wtlding in a
ringf" tin. Obviously, it is unsuitablc for ovcrhcad welding'
5 5.1 RF.SISTAN(ll: WI:LI)lN(;
'l hc lirll0wing l)r(x.csseli llt :rll rtltttttt' trsttl:tttt c ltt"tltltll Its lllr {)tlr(;c
lrcrtl:
Fig. 5.32 Electroslag welding.
Here, the filler rvires are used as the electrodes. To start rvith, an arc is
created which melts the flux, and thereafter the molten flux short circuits
the arc and heat is generated due to the ohmic heating of the slag. The
slag circulates ancl melts the workpieces and thc filler wires. As the process
continues, a little flux is added and the weld pool flormed is covered by a
layer of liquid slag of almost coostant depth. The layer of liquid slag and
the weld pool is retained by a rvater cooled dam, as shown in Fig. 5.32.
Since the rveld pool formed is large and the welding speed is slow, the
cooling rate is quite low. This results in a coarse grain size, and a follow
up heat treatment is normally required to restore the strength.
Spot Welding
In spot wclding, tlic parts 1o bc joined are normally overlapped (Fig. 5.33).
'l'lrc workJricccs irlc cl;tntpcrl bctrvcctt tvo walcr coolcd copper electrodes.
( )rr tlrc l)lss;llic ol'rr lrililr lrrrttsicrtl cttrrcttl, thc inlcrlar:c mclts ovcr a spot
;rrrrl lirrrrs lltc wclrl. l lrt, t:ooltttli :rt llrc clcclrotlc liruits (lrt: sizc o[ lht: sJrot.
A r,rrv ll1,lr trttrr'rrl (,lO iulll) ()l lrrorc) ls rrcctlcrl liu ;t vcry slrorl rlrrr;rtiorr
1ol llrr ltrlct ,rl ;r lt,rt ltott o1 ,1 .'1', ontl) lo t otttltlclc tlrc wclrlrrry.. 'l lrc trrlcr-
Wirc
20. Water cooled electrode
JOINING PROCESSES 323
322 MANUFACTURTNG sciENCE
brushing and vapour degreasing. A spot ryeld normally contains scme
porosity at the weld centre, which, unless excessive, is harmless. The spol
Fig. 5.33 Resistance spor welding.
welding process is. difficult to use for highly conductive materials such as
aluminium and magnesium. If a series of spot welds are to bemade, obviousry
then a higher current is necessary for each subsequent spot in view of the
short circuiting provided by the preceding welds.
Projection Welding
Projection welding is a variation of the spot welding process in which small
projeetions are made in one of the surfaces, as shorvn in fig. 5.34. Then, the
parts to be weld:d are clamped between the flat copper alloy electrodes.
E lectrodcs
Alter
Fig. 5.34 Projection welding.
on.the passage of a high current, the projections melt and form the weld.
1'he process is obviously suitable for a sheet metal assembly, anf,, unlike
spot welding, leaves no indentation mark on the free surface.
Seam Welding
Scam welding is a conlinrrorrs sJrol wclttirrg pr(x:cs wlrcrc tlrr- ovcrl;rp;x-rl
I):trls t() lrt: wcltlt:rl :trc li'tl llrrottl'lr ir p;rir ol'('()l)l)fr' :rlloy elcclro(tcs l() lirrll
rr conl iltttorrs sclrlrr ( tir11 . I5).
Fig. 5.35 Seam welding.
5.5.4 GAS WELDING
A typical oxyacetylene gas u'elding set-up is shown in Fig' 5'36' Acetylene'
it l"p, in a-confined space, decomposes into carbon and hydrogen. This
decompositionresultsinahighpressure.Whenthispressurereachesa
value around 0.2 N/mm2, the mixture of c and H becomes violently explosive
even in the absence of oxygen. This happens when the mixture is subjected
toasparkorshock.Toavoidthisproblem,acetyleneisdissolvedin
Elcctrodes
o:
N/mm2
max)
CIH:
d issolved
in acetone
(175 Nimm2
max)
P - fempcrature sensitive Plug
C *Cylinder Prcssuri gauge
L-Linc Prcssure gauge
A - Asbestos rr ick
Fig. 5.36 Scheme of gas welding'
acetone. At a pressure of 0.1 N/mm2, one volume o[ acetone dissotves
twenty volumes of acetylene, and the solubility increases almost linearly to
300 volumcs at a prcssure of 1.2 N/mm2. An excess of oxygen or acetylene
is used, depending on whether a decarburizing or a carburizing flame is
tlcsircd. In thc wclding ol' brass, bronze, and copper-zinc-tin alloys, a
rlccarburizinll ll;rrr,c is usctl, whereas a carburizing flame is used for the
rvcl<linlg <t[' lrililr t:lttlrrttl rlcel.
i 1,1 llll l(tlll 'l ll)lN(;
'l lrc llrclttttl wrlrlrtrg lrtrx cn ttltltrcs it t ltclttit'itl ltclt( sotllc:c itrtrl Is rtorttrttlly
rrrcrl l,l A1r)1 1lr rve|{llrrj ol rnrlr (l'rg. 5..17).'l lrc cllcrtricttl rcitctiort, ulrcurty
Direction
of rvelding
Va lves
lvl ix r ng
ch a mber
C)H2 (2-3.5 Nl'mm')
Beflore
21. 324 MANUFACTuRTNc scrENcE
discussed in section 5.3. l, indicates that the temperature obtained
highe; than is necessary and the reaction product is iron anci not
is much
steel. To
Fig. 5.37 Thermit welding.
avoid these, the reaction mix is added with carbon, fierromanganese, and
ferrosilicon to cool off the reaction and to produce steel at the end oi. ,ti
reaction. The reaction is started by burning a magnesiunr ribbon dipped in
the reaction mix.
5.5.6 ULTRASONICWELDING
The ultrasonic welding process is used onry for the werding of thin strips
and foils. The core of a magnetostriction ultrasonic generatol is coupled to
the work thrcugh a bar having a suitably_shaped iip 1f;g. -s.3g). The tip
Crucible containing
mixturc of iron-
oxide and aluminium
Wax (to be replaced
by steel)
Ultrasonic
head
Horn
Coupling rod
Vibration
Workpiece
Fig. 5.38 Ultrasonic welding.
applies a transverse pressure between the workpieces and the simultane-ous
application of ultrasonic vibration to the tip rcsutrs in a spot weto. lhe
welding takes place due ro a combinati.n .f fracturing o[ the brittlc
oxide layers and softcning of thc aspcritics bct:lrrrc ol' localrrcrl 5eating by
thc high vcl<rcitv rubbing. ln this proccss, n. hrrll hc,rinp, witrr rhc c.rr-
ticquent hnrl ellccts (c.g,. nretatlurgicnt chnrrgcs urrrl nrcchlrrrcnl rlefrrrntulr6n;,
trkcr plrcc,
JorNrNc pRocESSES 325
5.5.7 ELECTRON BEAM WELDING
In electron beam welding, the heat for fusion is obtained from the kinetic
energy of a dense beam of high velocity electrons (see Chapter 6). The
electrons are emitted by a cathode and thereafter accelerated by a ring-
shaped anode, and focussed by means of an electromagnetic field to finally
impinge upon a very narrow area (a few microns in diameter) of the work-
piece (Fig. 5.39). The cntire operation is carried out in vacuum with a
pressure of I0-3 mm of Hg. The accelerating voltage is in the range 20-
200 kV with a weldiog curreut of the order of milliamperes.
e
Control
e lect rode
-r-
Positioning
d ia phragrn
Magnetic
^O
Yro
l)>
rJ
,-') [rf-
rirnn,"n,
9m-Anodc
- focussing
leris
Workpiece
Electron beam welding.
When the applieC voltage crosses the critical value, the electron beam
penetrates into the metal. Under such a conditioo, if the rvorkpiece is
traversed relative to the beam, an extremely narrow bead of weld is formed.
The process is not suitable for a metal which vapourizes excessively or
emits a lot of gas when mqlted. The process can be used to join dissimilar
materials and reactive metals, aod also for joints requiring a precise
conlrol of the wcld profilc and penetration (as io the fabrication of gas
turbinc parts).
5.5.8 LASER I}EAM WELDING
A luscr bcnnr, instead of a highly focussed clcctros beam, can also bc uscd
lirr wcLlilrll. A major advanlnge in thio proccss is thlt tltc operation nced
not bc crrriod out in vucuutn. A larcr bcrnl ic cnprtblc rll'protlttcirrg n
drnrlty u hlfh rl t0? W/cmr (rco Chrptor 6;,
22. 326 MANUFACTURING SCIENCE
5.5.9 EXPLOSIVE WELDING
The explosive welding process is used to join two plates, tace to face.
of the workpieces, called the target plate, is held fixed (Fig. 5.40).
Detonator Ex plosive
Rubber
spaccr
Flyer plate
One
The
1-l ol the flyer I
plate thickn.rr
T
Target
platc
Fig. 5.40 Explosive welding.
otlrer one, called the flyer plate, is kept at an angle to the target plate.
The minimum distance between the two plates is of the order of I to { of
the flyer plate thickness. An explosive charge is kept on the top of the
flyer plate with an intervening layer of rubber spacers. When the explosive
charge is detonated, the fiyer plate comes and hits the target plate with a
huge velocity and the two plates are welded face to face. This process can
be used to join dissimilar materials and the weld interface is seen to be
wavy, as indicated in Fig. 5.40.
5.6 WELD DEFECTS AND INSPECTION
In a fusioo weld, the defects often found include the lack of fusioo, rack of
penetration, inclusion of slag or oxide, preseDce of cracks, porosity, and
undercut or excessive penetration (i.e., bad profile). These defects are
shown diagrammatically for butt welds in Fig.5.4l. Such defects do not
significantly alter the static strength of a welded joint under ductile condi-
tions. Horvever, the defects bave serious consequences if the material runs
a risk of brittle fracture or the joint is subjected to a fatigue loading. The
presence of a crack always enhances the probability of a brittle fracture.
Similarly, a lack of fusion causes a sharp discontinuity which, in turn,
diminishes the fatigue'strength.
vaiious standard tests are conducted to ensure the acceptability_ of the
strength and quality of a welded.ioint. The strength is checked by the
tensile and bend tests. Figure 5.42 schematically shows three different
bend tests, namely, free bend, guided bend, and controlled bcn<j. 'fhe
bend test is conducted with two specimcns; in onc spccirncn, the oul.si<Je
face of thc rvcld is put lo lcnsiorr, und in thc othcr rpccinrcn, thc root is
rubjccted ro lcnsion. The bcnd tclt ir ditllcult to conduct on vcry thick
Weld intcrfacc
Heat affectcd
zonc crack
Lack ol
inter-run fusion
Lack of Lack of
side fusion root fusion
(b) Lack of fusion
Excessive
reinforcement Undercut
JOINING PROCESSES 32'l
(c) Porosity
(a) Cracking
(d) Slag irrclusion (c) Bad pro{ile
Defects in butt welds.
Fig. 5.41
r(",,-'}1
(f) Oridc inclusion
Fig. 5.42 Various bend tests for welded
plates. In such a situation, the side bend test is performed with a slice'
3_6mmthick,cutatrightanglestotheplatesurfaceandtotheweldaxis.
Tbe sidc bcnd test ,"r.Il, a tait of side fusion very clearly but is less sensi-
tivetoar()()t<tcfcctthauthenorrralbendtest.Theimpactstrengthofa
jointislcsletlbytltcusualmethodsafterprovidinganotchinthejoint.
Noilrlcslrrrclivr itrrpcction techniques are used to locate thc intcrnal de-
l'ct:ts rrnrl lillnltlf r rut lt in u wcldcd joint. For the detaits on sttch tccltniqrres,
"ir.,,,,,1,,,p:,,1l)lltr
etarrrittttlirrn, ullrnsonic tcsting' ittagnetic p{lrli(:lc teBl'
dyc pcnelretlt l.rllnft .30 Chsptcr 2 (Scction 2'tt)'
(c) Controlled benci
speciqrens.
*D + 2.2t->1
(a) Free bend
Punch
Test
specrmen
Die
(b) Cuided bend
Test
specimcn
II
T
23. 328 MANUFACTURINc scIENcE
5.7 EXERCISE PROBLEMS
5.1 the voltage-length characteristic of a dc arc is given by
' V-(20*4I)volts,
where I : Iength of the arc in qm. During a welding operation, it is expect-
ed that the arc length will vary between 4 mm and 6 mm. It is desired that
the welding current be limited to the range 450-550 amp. Assuming a linear
power source characteristic, determine the open circuit voltage and the
short circuit current of the power source.
5.2 Consider the voltage;length arc characteristic described in Exercise 5.1.
Let the power source characteristic be given by
,tr*2(l)':r,
where I/s is the open circuit voltage and .I, is the short circuit current. If I/s
and d rgmain the same as obtained in Exercise 5. l, determine the range of
welding current for the arc length variation mentioned in Exercise 5.1.
5.3 Refer to the power source characteristics stated in Exercises 5.1 and 5.2.
Of thesq which is suitable for (i) manual operation? (ii) semiautomatic
operatio4 ? Justify your aDswer.
5.4 Twe different pairs of sheets of the same material have to be spot
welded. Ih one pair, there are 25 bridges per cm2 and the average radius of
each bridge is 0.1 mm. The other pair of streetscontaios 50 bridges per cm2
with the sarne average radius of each bridge. Determine the ratio of the
voltages to be applied in these two cases in order to generate the san:e rate
of heating per unit area.
5.5 Solve Example 5.3 by assuming the heat flow to be three-diuensionai
(i.e., with a point source).
5.6 While making a lap joint of two thin sheets, using the same amount
of adhesive, two designs are proposed. In one design, a joint of thickness
0.3 mm with an overlap length of 12 mm is made. In the other design, a
joint of thickness 0.2 mm with an overlap length of l8 mm is made. Esti-
mate the ratio of the maximum shear stresses the two joints can withstand.
6 LJnconventional Machining Processes
6.I INTRODUCTION
Witll the develcpment o[ technology, n]orc and nrolc challenging problems
are faced by the scientists and technologists in the field of manulacturing.
The difficulty in adopting the traditional manulacrurins processes carr bc
attributed mainly to the foilowing threc basic sourcrs:
(i) New mater.ials with a lorv machrnability.
(ii) Dimensional and accurltc], requirements.
(iii) A higher production rete and cconomy.
The many new materials and alloys ttr.at have been dcvckllrcd for specific
uses possess a very low machinability,. Producinc complicatcd rL'onretries
in such materials becomcs extremely di{licult rvith the usual merhods. Also.
sometimes the combination of the matcrial propertics and thc job dirnen-
sions is such that it makes the use ol the traditional proc,:ss':s impcssible.
Examples of these t}'pes o[ jobs are machining a complicarcd iurbine blade
made oi- superalloys, and producing holes and slots (both through and
blind) in materials such as glass and semiconducrors. At rinres, rh,-: job
becomes difficult because of the dimensional complicatiorrs. So. driiling a
noncircular hole or a micro hole becomes problemalic (and sometinres
impossible) if the traditional processes are used. Apart from the situations
cited, higher production rate and economic requirements may dernand the
use of nontraditional (or unconventional) machining processes.
To tackle such difficult jobs, two approaches are possible, viz., (i) a modi-
fication of the traditional processes (e.g., hot rnachining) and (ii) the de-
velopment of new processes. In this cha.pter, we shall discuss the presently
available common unconventional machining processes. Such processes are
becoming increasingly unavoidable and popular; therefore. a knowredge ol
these is cssential for a mechanical engineer.
Thc basic objective of all machioing operations is [o remove the excess
material to obtain the desired shape and size. These opera{ions use
various typcs o[ cncr6'ies. Table 6.1 shows the possible machining processes
using llrc rlifilrcrrt tyPcs o[ energies and various methods of materia]
rcnroval.
Sirrcc llrc lur( ().v('nrr()rr:rl rrrrchining processes differ wide ly in nature
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", r' slr,rll rrol rrrlcnrpt a llcncralizcd introrluction.
lrtslc;t<1, irt rvlr;rl lollot',. r, '.lr.rll t;rk1 rrp ;r1rl rlrst.rrs:; r.;rt.lr srrtlr l)r(x'(.ss
r,clrltt:rlrl',