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The effect of different processing techniques on the
microstructure and mechanical behaviour of AZ31
Magnesium alloy
Present by
Dr. A. Elayaperumal M.Tech., Ph.D.,
Professor and Head in Engineering Design Division,
Department of Mechanical Engineering,
CEG Campus, Anna Uiversity
Chennai-600025.
CONTENTS
Introduction
Bulk deformation techniques
Severe plastic deformation
Numerical methods and finite element analysis
Summary
2
Introduction of magnesium
 Magnesium - light weight material
 Crystal structure - HCP ( hexagonal close packed)
 Density - 1.738 g/cm3
 Melting point - 650oC
 Mg has meritorious properties like high specific strength and Also it has amicable
features like acceptable machinability, excellent castability and good weldability.
 Mg has low ductility due to the limited slip system of the Hexagonal Close-Packed
(HCP) crystal structure in room temperature.
 The formability of Mg at room temperature is not favorable because, the readily available
slip system of HCP crystal structure is Basal slip.
 They have some other limitations such as poor creep, corrosion and wear resistance at
room temperature.
3
Introduction of magnesium
 Using material science tetrahedron techniques to overcome the Mg limitation.
 AZ series (Aluminum and Zinc are the major alloying elements)
 AM series (Aluminium and Manganese)
 ZK series (Zinc and Zirconium)
 ZE series (Zinc and Rare earths)
 WE series (Yttrium and Rare earths)
 Amongst these, AZ31 alloy is widely used due to its abundant commercial availability
and good tensile characteristics.
4
Chemical composition of AZ31
5
Designation Mass %
Al 2.5–3.5
Zn 0.7–1.3
Mn 0.2
Cu 0.05
Ni 0.005
Si 0.05
Mg Balance
AZ31 magnesium alloy
6
 AZ31 magnesium alloy most widely used but AZ31 alloy usages are limited in as-cast
condition due to low yield strength and the casting defects.
 Thus, secondary process techniques used to improve the yield strength.
Bulk deformation processing techniques
Rolling :
 Cold rolling
 Hot rolling
 Cryogenic rolling
Extrusion:
 Hot extrusion
 Cold extrusion
Severe plastic deformation:
 ECAP
 HPT
 ARB
Rolling
7
 Rolling as a metal forming operation is done to produce metals in the form of sheet, bars, sections,
and tubes.
 Rolling process Influencing parameters: Rolling speed, number of passes, thickness reduction
ratio, and most importantly, the working temperature.
 Rolling process classified into three based working temperature :
1. Hot rolling
2. Cold rolling
3. Cryogenic rolling
Hot Rolling
8
 Hot rolling process is usually carried out above the recrystallization temperature of a particular metal.
 The number of passes, rolling speed, and initial texture are the important microstructure refining
parameters in hot rolling.
 At low speed, part of deformation energy is absorbed and stored by lattice defects such as twinning.
 At higher speeds, the heat energy transferred to rollers is less, which promotes DRX and grain growth.
 Differential speed rolling (DSR) / Asymmetric rolling is a rolling process where further increase in
grain refinement can be achieved by inducing shear deformation during the rolling process
Hot rolling
9
Fig.4. Orientation image maps illustrate the angles between the c-axis and Normal Direction of the sheet AZ31 alloy rolled at different reductions rates, in Normal Direction (a-d) and Transverse Direction(e-
h): (a) and (b) 10%; (c) and (d) 20%; (e) and (f) 30%; (g) and (h) 40%.
Fig taken from Wang, Maoyin, et al. "Effect of initial texture on dynamic recrystallization of AZ31 Mg alloy during hot rolling." Materials Science and Engineering: A 528.6 (2011): 2941-2951.
Cold rolling
10
 Cold rolling process is usually carried out below the re- crystallization temperature of a particular
metal.
 However, Mg alloys develop failures such as edge cracks and even fractures at reduction rates as
low as 15%.
 It was evident that high-speed rolling involves less heat transfer from the work piece to the roller.
And higher temperatures imparted in AZ31 alloy through plastic strain subsequently decrease the
requisite strain for DRX to occur.
 This induced more grain refinement and activation of + slip systems.
 In low-speed rolling, however, deformation energy is accumulated and strong basal texture is
formed at the surface. And an inhomogeneous deformation microstructure was developed in
AZ31 alloy, leading to poor ductility characteristics and defects.
Cryogenic rolling
11
 Rolling process performed when the work piece has under- gone cryogenic treatment at
temperatures below 83 K
 Dynamic recovery is suppressed at cryogenic temperatures, grain refinement is further enhanced.
The effectiveness of CR on the strengthening of material is remarkably influenced by its stacking
fault energy (SFE).
 With AZ31 alloy having an intermediate SFE, it deforms by twinning during CR, but dislocation
slip during room temperature rolling.
Rolling temperature based graph
12
Fig. 5. 3D scatter plot showing the effect of rolling temperature and reduction percentage on AZ31 Magnesium alloys, a). Grain size, b).
Ultimate tensile strength and, c).% of elongation. (Spheres- Symmetric Rolling; and Stars- Asymmetric Rolling). (For interpretation of the
references to colour in this figure legend, the reader is referred to the web version of this article
Extrusion
13
 Extrusion is a metal forming technique performed to pro- duce metals in various fixed
cross-sectional profiles that can- not be achieved by rolling
 Processing parameters such as temperature, extrusion rate (the rate at which the work
piece is being extruded), and extrusion ratio (the ratio of the cross-sectional area of the
work piece before and after extrusion) can greatly influence microstructure refinement
 Two types :
1. Hot extrusion
2. Cold extrusion
Hot extrusion
14
 Hot Extrusion process is carried out above the recrystallization temperature of a particular metal.
 Parameters influenced over microstructure refinement : extrusion ratio, billet temperature, and ram
speed
 Extrusion is easily performed at higher temperatures with the absence of work hardening effect,
promoting dynamic recrystallization(DRX).
 Extrusion at 673K temperature prevention the oxidation and billet initially homogenized.
 AZ31 alloy has good work- ability in high temperatures, and thus, high extrusion ratios ( ≥39) can
be achieved easily.
 Asymmetric extrusion produces grain refinement and a tilted weak basal texture, which enhances
room temperature strength and plasticity.
Hot extrusion
15
Fig.7. Transmission Kikuchi Diffraction orientation maps and inverse pole figures of AZ31 along extrusion direction, extruded at (a) 175 °C, Electron Back
Scatter Diffraction orientation maps and inverse pole figures along extrusion direction of AZ31 extruded at (b) 300 °C and (c) 400 °C with ram speed of 0.1
mm. s 1 , and (d) 400 °C with ram speed of 3 mm/s.
Reference : Z.R. Zeng et al Achieving exceptionally high strength in Mg–3Al–1Zn- 0.3Mn extrusions via suppressing intergranular deformation, Acta Mater
160 (2018) 97–108
Cold extrusion
16
 Cold or Warm Extrusion process is carried out below the recrystallization temperature of a
particular metal
 absence of high temperatures, oxidation effects are less pronounced, and cold working induces
greater strength in the extrudate
 Back pressure (BP) allows the usage of higher extrusion ratios and extends the formability of
AZ31 alloy The adiabatic heating effect generated during deformation can be as high as 0.4–0.65
of the absolute melting temperatures, stimulating recovery, and DRX.
Extrusion temperature based graph
17
Fig. 8. 3D scatter plot showing the effect of Extrusion temperature and extrusion ratio on AZ31 Magnesium alloys, a). Grain size, b). Ultimate tensile
strength and, c).% of elongation. (Spheres- Symmetric Extrusion; and Stars- Asymmetric Extrusion).
Severe plastic deformation
18
 SPD can process a specimen without changing its cross-sectional dimensions.
 The process introduces a high dislocation density in a material, which then rearrange into arrays of
high-angle grain boundaries. This results in excellent homogeneity and mechanical properties
which are in conjunction with the Hall-Petch relation.
 Refining the grain size in the sub-micrometre range of 100–1000 nm or even in the true nanometre
range of < 100 nm.
 SPD techniques:
1. Equal channel angular pressing (ECAP)
2. High pressure torsion (HPT)
3. Accumulative roll bonding (ARB)
Equal Channel Angular Pressing
19
 ECAP is a commonly used SPD technique producing materials with grains in the sub-micron range.
 The deformation introduced in AZ31 alloy is controlled by various parameters such as the working temperature,
channel angle, number of passes, and the application of back-pressure.
Fig. 9. ECAP schematic and Designing of ECAP parameters based on strain distribution uniformity
Equal Channel Angular Pressing
20
 High temperature condition high strength and finer grains could not be obtained due to DRX and
subsequently grain growth.
 A significant increase in the yield stress was observed when the specimen was processed at room
temperature. With grain refinement being primarily determined by DRX, it was informed that finer
grain sizes can be obtained at lower temperatures
 But low temperature the specimens easily form cracks or fail below 473 K during ECAP
 A 90 °angled die induced maximum grain refinement with the least amount of defects
 The formation of dead zones within the material flow, a corner angle of 20–30° is given while
processing the AZ31 alloy.
 A continuous SPD process and operating at temperatures around 500 K, I-ECAP was capable of
producing large amounts of strains in AZ31 alloy.
Equal Channel Angular Pressing
21
Fig. 10 M. Gzyl et al., The role of mi- crostructure and texture in controlling mechanical properties of AZ31B magnesium alloy processed by I-ECAP.
Electron Back Scatter Diffraction maps and corresponding micro-textures of AZ31 alloy processed by I-ECAP at, a). 250 °(route A), b). 200 °(route A), c). 250 °(route
B c ), d). 200 °(route B c ).
High pressure torsion
22
 HPT technique has a longer history than ECAP, as the outlying principle behind it was first
proposed more than 70 years ago.
 It is capable of producing grains of the UFG range and sometimes even the nanocrystalline range
(grain sizes less than 100 nm) making it the most effective of all SPD techniques.
 The material is subjected to torsional shear straining with high hydrostatic pressure of 0-7Gpa.
 The torsional strain on the work piece is estimated using the number of anvil rotations N, which
starts with 0, ¼, ½ and extends up to 20 turns.
 N = ¼ the grain refinement starts by sub grain formation and shear
bands. N=1 pass achieved the ultra fined grain structure (UFG).
 The presence of shear bands however indicates the presence of inhomogeneity of deformation.
High pressure torsion
23
 An increasing number of turns, as microstructure becomes increasingly homogenous with higher
dislocation densities and grain growth due to the heat generated through torsional straining.
 High-temperature processing results in grain growth and elongation due to pronounced DRX,
while low temperatures processing induces significant grain refinement and hardness.
 Moreover, processing with high hydrostatic pressure attributes to the superplastic behaviour in
AZ31 alloy at N =10. This behaviour is prevalent as a result of grain boundary sliding controlled
by grain boundary diffusion. Maximum elongation of 520% was observed when the superplastic
AZ31 specimen was tensile tested at 623 K.
 Increase the strain rate decrease in type prismatic and pyramidal fraction of dislocations.
High pressure torsion
24
Fig.12 reference: Seenuvasaperumal et al., Wear behavior of HPT processed UFG AZ31B magnesium alloy.
Optical Microscope image of AZ31 Mg Alloy (a) as-cast and (b) HPT N = 0 samples, and Transmission Electron Microscope bright field images of HPT
(c) N = ¼and (d) N = 5 samples
High pressure torsion
25
Fig.13 Microstructures of AZ31 alloy after HPT processing at 473 K for N ¼1 turn at (a) the center, (b) the half-radius, and (c) the edge of the
disk
Reference: Y. Huang et al., Evolution of strength and homogeneity in a magnesium AZ31 alloy pro- cessed by high-pressure
torsion at different temperatures.
Accumulative roll bonding
26
 ARB is emerging as a cost effective SPD technique to obtain large UFG sheets or multi-
layered composites structures by accumulating large strains usually by repeating the
procedure.
Accumulative roll bonding
27
 The principle behind ARB is the Interface bonding, which is achieved by DRX at the sheets
interface. Here the fine grains are recrystallized and replaced until the interface is eliminated.
 These include the number of layers, reduction%, working temperature, rolling speed, and rolling
friction.
 The grain size was observed to decrease drastically after one pass. Even though only bimodal
structures were obtained at this point, AZ31 alloy showed a superior combination of high strength
and good elongation. The ductility being attributed to non-basal slip and the strong back stress
offered.
 ARB, the onset of DRX decides the level of grain refinement and forms shear bands in the
direction of shear stress.
Accumulative roll bonding
28
Fig .15 Electron Back Scatter Diffraction microstructure of (a) Homogenised AZ31 alloy; and alloy processed through ARB after (b)
first pass; and (c) second pass
Reference : Trojanová., et al Influence of accumulative roll bonding on the texture and tensile properties of an AZ31
magnesium alloy sheets
Effect of processing temperature
29
Fig.16. Effect of processing temperature to the grain refinement of
various SPD processes. (Sphere–ECAP after 4 passes; Star- HPT after
5 turns; Cube- ARB after 3 passes).
Numerical methods and finite element analysis
 An ideal processing technique must achieve the required refinement efficiently and
reliably
 de-formation techniques such as rolling and extrusion
= ln (for rolling)
= ln (for extrusion)
= true strain; t0 =initial sheet thickness, mm; tf= reduced sheet thickness, mm; A0= initial
billet cross- sectional area, mm 2 ; and Af = extruded billet cross-sectional area, mm2.
30
Numerical methods and finite element analysis
 The average flow stress of the material as it is the minimum stress a mate- rial requires to sustain plastic
deformation. It is also useful to keep track of forming defects, as crack propagation is inversely
proportional to the flow stress.
Flow stress : =
 = average flow stress, MPa; K = strength coefficient (MPa); and n = strain hardening exponent (varies
with material and working temperature)
 Rolling force and total power :
F = Yf w L
P =2πNFL
F = rolling force, N; w = the width of work to be rolled, mm; L = length of contact between the rolls and
work, m; P= total power, J/s; and N = rotational speed, rpm
31
Numerical methods and finite element analysis
 The extrusion process can be used to produce various cross-sections of an initial AZ31
billet. Thus, the effect of die shape is usually considered while calculating the total ram
pressure required for extrusion to occur.
 Shape factor :
= 0.98 + 0.02
.
 Extrusion pressure:
= +
= shape factor; = perimeter of the extruded cross-section, mm; = perimeter of a
circle of the same the extruded cross-section, mm; p = extrusion pressure, MPa; L = length
of billet needed to be extruded, mm; and = initial diameter of the billet, mm
32
Numerical methods and finite element analysis
 The initial boundary conditions for SPD techniques cannot be evaluated by the change in cross-sectional
dimensions since they always remain uniform. Therefore, numerical methods surrounding its processing
parameters rely on the accumulated strain in the work. ECAP process, the effective strain ε after N passes
 = 2 cot
φ
+ + cosec
φ
+
φ=channel angle; and ψ = corner angle
 HPT permits a defined continuous variation of strain in a single cycle. Since the ap- plied torque exerted
can be easily computed through the angle of rotation, the effective strain ε can be estimated by
=
N = number of turns; r = radius of the disk; and h = thickness of the disk
33
Numerical methods and finite element analysis
 Analogous to ECAP, the accumulated strain during every pass is essential to model
ARB. The effective strain for N passes in ARB can be calculated by
= ln
r = reduction ratio per pass
34
Numerical methods and finite element analysis
35
Fig.18. The CA predicted grain size morphology of AZ31 Mg alloy after hot deformation at (a) 573K- 0.001S-1; (b) 673K – 0.1S-1; (c) 723K-1S-1. (For interpretation of the
references to colour in this figure legend, the reader is referred to the web version of this article.) reference : Chen et al., Modeling and simulation of dynamic
recrystallization behaviors of magnesium alloy AZ31B using cellular automaton method
Summary
 The bulk deformation techniques used to obtain the fine-grained or UFG materials. critical mechanical
properties such as high specific strength, and good fatigue life, are vital to the advancement of the
automobile and aerospace industry. As such, these techniques can be used to achieve significant grain
refinement, homogeneity, and hardening of AZ31 alloy.
 Under bulk deformation techniques, the highest levels of grain refinement and mechanical properties were
achieved by performing asymmetric rolling, calibre rolling and three-high skew rolling. Whereas amongst
SPD techniques, HPT presented the prospect of processing AZ31 alloy at room temperatures, and grains
refined to the nano-range. However, only a few studies have explored the effects of combining multiple
processing techniques in AZ31 alloy: enhanced tensile strength and ductility upon undergoing both ECAP
and rolling, and the production of high-strength micro-gears by combining ECAP and extrusion
36
Summary
 Nevertheless, all SPD techniques are capable of producing an equiaxed UFG microstructure and
superplastic elongation in AZ31 alloy. Thus, there is more attention is to- wards viable continuous
production methods of UFG mate- rials. Using Finite-Element methods, the machinery behind these
techniques could be designed and optimum processing parameters can be obtained for the desired
mechanical property in AZ31 alloy. As I-ECAP was computationally verified and performed for AZ31
alloy, more feasibility studies can be conducted for various continuous processing techniques such as
Incremental-HPT, Single-Task Incremental HPT, and Accumulative Extrusion.
 Amongst Monte Carlo, Sphere growth, Inverse analysis, and various other methods used to represent
microstructure evolution, the CA finite element method has been very successful in modelling Static and
Dynamic recrystallization phenomenon. With only limited studies being performed, there is still of potential
with the CA finite element method, to predict grain size morphology of AZ31 alloy using SPD techniques.
37
38
Thank you

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AZ31 presentation.pdf

  • 1. The effect of different processing techniques on the microstructure and mechanical behaviour of AZ31 Magnesium alloy Present by Dr. A. Elayaperumal M.Tech., Ph.D., Professor and Head in Engineering Design Division, Department of Mechanical Engineering, CEG Campus, Anna Uiversity Chennai-600025.
  • 2. CONTENTS Introduction Bulk deformation techniques Severe plastic deformation Numerical methods and finite element analysis Summary 2
  • 3. Introduction of magnesium  Magnesium - light weight material  Crystal structure - HCP ( hexagonal close packed)  Density - 1.738 g/cm3  Melting point - 650oC  Mg has meritorious properties like high specific strength and Also it has amicable features like acceptable machinability, excellent castability and good weldability.  Mg has low ductility due to the limited slip system of the Hexagonal Close-Packed (HCP) crystal structure in room temperature.  The formability of Mg at room temperature is not favorable because, the readily available slip system of HCP crystal structure is Basal slip.  They have some other limitations such as poor creep, corrosion and wear resistance at room temperature. 3
  • 4. Introduction of magnesium  Using material science tetrahedron techniques to overcome the Mg limitation.  AZ series (Aluminum and Zinc are the major alloying elements)  AM series (Aluminium and Manganese)  ZK series (Zinc and Zirconium)  ZE series (Zinc and Rare earths)  WE series (Yttrium and Rare earths)  Amongst these, AZ31 alloy is widely used due to its abundant commercial availability and good tensile characteristics. 4
  • 5. Chemical composition of AZ31 5 Designation Mass % Al 2.5–3.5 Zn 0.7–1.3 Mn 0.2 Cu 0.05 Ni 0.005 Si 0.05 Mg Balance
  • 6. AZ31 magnesium alloy 6  AZ31 magnesium alloy most widely used but AZ31 alloy usages are limited in as-cast condition due to low yield strength and the casting defects.  Thus, secondary process techniques used to improve the yield strength. Bulk deformation processing techniques Rolling :  Cold rolling  Hot rolling  Cryogenic rolling Extrusion:  Hot extrusion  Cold extrusion Severe plastic deformation:  ECAP  HPT  ARB
  • 7. Rolling 7  Rolling as a metal forming operation is done to produce metals in the form of sheet, bars, sections, and tubes.  Rolling process Influencing parameters: Rolling speed, number of passes, thickness reduction ratio, and most importantly, the working temperature.  Rolling process classified into three based working temperature : 1. Hot rolling 2. Cold rolling 3. Cryogenic rolling
  • 8. Hot Rolling 8  Hot rolling process is usually carried out above the recrystallization temperature of a particular metal.  The number of passes, rolling speed, and initial texture are the important microstructure refining parameters in hot rolling.  At low speed, part of deformation energy is absorbed and stored by lattice defects such as twinning.  At higher speeds, the heat energy transferred to rollers is less, which promotes DRX and grain growth.  Differential speed rolling (DSR) / Asymmetric rolling is a rolling process where further increase in grain refinement can be achieved by inducing shear deformation during the rolling process
  • 9. Hot rolling 9 Fig.4. Orientation image maps illustrate the angles between the c-axis and Normal Direction of the sheet AZ31 alloy rolled at different reductions rates, in Normal Direction (a-d) and Transverse Direction(e- h): (a) and (b) 10%; (c) and (d) 20%; (e) and (f) 30%; (g) and (h) 40%. Fig taken from Wang, Maoyin, et al. "Effect of initial texture on dynamic recrystallization of AZ31 Mg alloy during hot rolling." Materials Science and Engineering: A 528.6 (2011): 2941-2951.
  • 10. Cold rolling 10  Cold rolling process is usually carried out below the re- crystallization temperature of a particular metal.  However, Mg alloys develop failures such as edge cracks and even fractures at reduction rates as low as 15%.  It was evident that high-speed rolling involves less heat transfer from the work piece to the roller. And higher temperatures imparted in AZ31 alloy through plastic strain subsequently decrease the requisite strain for DRX to occur.  This induced more grain refinement and activation of + slip systems.  In low-speed rolling, however, deformation energy is accumulated and strong basal texture is formed at the surface. And an inhomogeneous deformation microstructure was developed in AZ31 alloy, leading to poor ductility characteristics and defects.
  • 11. Cryogenic rolling 11  Rolling process performed when the work piece has under- gone cryogenic treatment at temperatures below 83 K  Dynamic recovery is suppressed at cryogenic temperatures, grain refinement is further enhanced. The effectiveness of CR on the strengthening of material is remarkably influenced by its stacking fault energy (SFE).  With AZ31 alloy having an intermediate SFE, it deforms by twinning during CR, but dislocation slip during room temperature rolling.
  • 12. Rolling temperature based graph 12 Fig. 5. 3D scatter plot showing the effect of rolling temperature and reduction percentage on AZ31 Magnesium alloys, a). Grain size, b). Ultimate tensile strength and, c).% of elongation. (Spheres- Symmetric Rolling; and Stars- Asymmetric Rolling). (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article
  • 13. Extrusion 13  Extrusion is a metal forming technique performed to pro- duce metals in various fixed cross-sectional profiles that can- not be achieved by rolling  Processing parameters such as temperature, extrusion rate (the rate at which the work piece is being extruded), and extrusion ratio (the ratio of the cross-sectional area of the work piece before and after extrusion) can greatly influence microstructure refinement  Two types : 1. Hot extrusion 2. Cold extrusion
  • 14. Hot extrusion 14  Hot Extrusion process is carried out above the recrystallization temperature of a particular metal.  Parameters influenced over microstructure refinement : extrusion ratio, billet temperature, and ram speed  Extrusion is easily performed at higher temperatures with the absence of work hardening effect, promoting dynamic recrystallization(DRX).  Extrusion at 673K temperature prevention the oxidation and billet initially homogenized.  AZ31 alloy has good work- ability in high temperatures, and thus, high extrusion ratios ( ≥39) can be achieved easily.  Asymmetric extrusion produces grain refinement and a tilted weak basal texture, which enhances room temperature strength and plasticity.
  • 15. Hot extrusion 15 Fig.7. Transmission Kikuchi Diffraction orientation maps and inverse pole figures of AZ31 along extrusion direction, extruded at (a) 175 °C, Electron Back Scatter Diffraction orientation maps and inverse pole figures along extrusion direction of AZ31 extruded at (b) 300 °C and (c) 400 °C with ram speed of 0.1 mm. s 1 , and (d) 400 °C with ram speed of 3 mm/s. Reference : Z.R. Zeng et al Achieving exceptionally high strength in Mg–3Al–1Zn- 0.3Mn extrusions via suppressing intergranular deformation, Acta Mater 160 (2018) 97–108
  • 16. Cold extrusion 16  Cold or Warm Extrusion process is carried out below the recrystallization temperature of a particular metal  absence of high temperatures, oxidation effects are less pronounced, and cold working induces greater strength in the extrudate  Back pressure (BP) allows the usage of higher extrusion ratios and extends the formability of AZ31 alloy The adiabatic heating effect generated during deformation can be as high as 0.4–0.65 of the absolute melting temperatures, stimulating recovery, and DRX.
  • 17. Extrusion temperature based graph 17 Fig. 8. 3D scatter plot showing the effect of Extrusion temperature and extrusion ratio on AZ31 Magnesium alloys, a). Grain size, b). Ultimate tensile strength and, c).% of elongation. (Spheres- Symmetric Extrusion; and Stars- Asymmetric Extrusion).
  • 18. Severe plastic deformation 18  SPD can process a specimen without changing its cross-sectional dimensions.  The process introduces a high dislocation density in a material, which then rearrange into arrays of high-angle grain boundaries. This results in excellent homogeneity and mechanical properties which are in conjunction with the Hall-Petch relation.  Refining the grain size in the sub-micrometre range of 100–1000 nm or even in the true nanometre range of < 100 nm.  SPD techniques: 1. Equal channel angular pressing (ECAP) 2. High pressure torsion (HPT) 3. Accumulative roll bonding (ARB)
  • 19. Equal Channel Angular Pressing 19  ECAP is a commonly used SPD technique producing materials with grains in the sub-micron range.  The deformation introduced in AZ31 alloy is controlled by various parameters such as the working temperature, channel angle, number of passes, and the application of back-pressure. Fig. 9. ECAP schematic and Designing of ECAP parameters based on strain distribution uniformity
  • 20. Equal Channel Angular Pressing 20  High temperature condition high strength and finer grains could not be obtained due to DRX and subsequently grain growth.  A significant increase in the yield stress was observed when the specimen was processed at room temperature. With grain refinement being primarily determined by DRX, it was informed that finer grain sizes can be obtained at lower temperatures  But low temperature the specimens easily form cracks or fail below 473 K during ECAP  A 90 °angled die induced maximum grain refinement with the least amount of defects  The formation of dead zones within the material flow, a corner angle of 20–30° is given while processing the AZ31 alloy.  A continuous SPD process and operating at temperatures around 500 K, I-ECAP was capable of producing large amounts of strains in AZ31 alloy.
  • 21. Equal Channel Angular Pressing 21 Fig. 10 M. Gzyl et al., The role of mi- crostructure and texture in controlling mechanical properties of AZ31B magnesium alloy processed by I-ECAP. Electron Back Scatter Diffraction maps and corresponding micro-textures of AZ31 alloy processed by I-ECAP at, a). 250 °(route A), b). 200 °(route A), c). 250 °(route B c ), d). 200 °(route B c ).
  • 22. High pressure torsion 22  HPT technique has a longer history than ECAP, as the outlying principle behind it was first proposed more than 70 years ago.  It is capable of producing grains of the UFG range and sometimes even the nanocrystalline range (grain sizes less than 100 nm) making it the most effective of all SPD techniques.  The material is subjected to torsional shear straining with high hydrostatic pressure of 0-7Gpa.  The torsional strain on the work piece is estimated using the number of anvil rotations N, which starts with 0, ¼, ½ and extends up to 20 turns.  N = ¼ the grain refinement starts by sub grain formation and shear bands. N=1 pass achieved the ultra fined grain structure (UFG).  The presence of shear bands however indicates the presence of inhomogeneity of deformation.
  • 23. High pressure torsion 23  An increasing number of turns, as microstructure becomes increasingly homogenous with higher dislocation densities and grain growth due to the heat generated through torsional straining.  High-temperature processing results in grain growth and elongation due to pronounced DRX, while low temperatures processing induces significant grain refinement and hardness.  Moreover, processing with high hydrostatic pressure attributes to the superplastic behaviour in AZ31 alloy at N =10. This behaviour is prevalent as a result of grain boundary sliding controlled by grain boundary diffusion. Maximum elongation of 520% was observed when the superplastic AZ31 specimen was tensile tested at 623 K.  Increase the strain rate decrease in type prismatic and pyramidal fraction of dislocations.
  • 24. High pressure torsion 24 Fig.12 reference: Seenuvasaperumal et al., Wear behavior of HPT processed UFG AZ31B magnesium alloy. Optical Microscope image of AZ31 Mg Alloy (a) as-cast and (b) HPT N = 0 samples, and Transmission Electron Microscope bright field images of HPT (c) N = ¼and (d) N = 5 samples
  • 25. High pressure torsion 25 Fig.13 Microstructures of AZ31 alloy after HPT processing at 473 K for N ¼1 turn at (a) the center, (b) the half-radius, and (c) the edge of the disk Reference: Y. Huang et al., Evolution of strength and homogeneity in a magnesium AZ31 alloy pro- cessed by high-pressure torsion at different temperatures.
  • 26. Accumulative roll bonding 26  ARB is emerging as a cost effective SPD technique to obtain large UFG sheets or multi- layered composites structures by accumulating large strains usually by repeating the procedure.
  • 27. Accumulative roll bonding 27  The principle behind ARB is the Interface bonding, which is achieved by DRX at the sheets interface. Here the fine grains are recrystallized and replaced until the interface is eliminated.  These include the number of layers, reduction%, working temperature, rolling speed, and rolling friction.  The grain size was observed to decrease drastically after one pass. Even though only bimodal structures were obtained at this point, AZ31 alloy showed a superior combination of high strength and good elongation. The ductility being attributed to non-basal slip and the strong back stress offered.  ARB, the onset of DRX decides the level of grain refinement and forms shear bands in the direction of shear stress.
  • 28. Accumulative roll bonding 28 Fig .15 Electron Back Scatter Diffraction microstructure of (a) Homogenised AZ31 alloy; and alloy processed through ARB after (b) first pass; and (c) second pass Reference : Trojanová., et al Influence of accumulative roll bonding on the texture and tensile properties of an AZ31 magnesium alloy sheets
  • 29. Effect of processing temperature 29 Fig.16. Effect of processing temperature to the grain refinement of various SPD processes. (Sphere–ECAP after 4 passes; Star- HPT after 5 turns; Cube- ARB after 3 passes).
  • 30. Numerical methods and finite element analysis  An ideal processing technique must achieve the required refinement efficiently and reliably  de-formation techniques such as rolling and extrusion = ln (for rolling) = ln (for extrusion) = true strain; t0 =initial sheet thickness, mm; tf= reduced sheet thickness, mm; A0= initial billet cross- sectional area, mm 2 ; and Af = extruded billet cross-sectional area, mm2. 30
  • 31. Numerical methods and finite element analysis  The average flow stress of the material as it is the minimum stress a mate- rial requires to sustain plastic deformation. It is also useful to keep track of forming defects, as crack propagation is inversely proportional to the flow stress. Flow stress : =  = average flow stress, MPa; K = strength coefficient (MPa); and n = strain hardening exponent (varies with material and working temperature)  Rolling force and total power : F = Yf w L P =2πNFL F = rolling force, N; w = the width of work to be rolled, mm; L = length of contact between the rolls and work, m; P= total power, J/s; and N = rotational speed, rpm 31
  • 32. Numerical methods and finite element analysis  The extrusion process can be used to produce various cross-sections of an initial AZ31 billet. Thus, the effect of die shape is usually considered while calculating the total ram pressure required for extrusion to occur.  Shape factor : = 0.98 + 0.02 .  Extrusion pressure: = + = shape factor; = perimeter of the extruded cross-section, mm; = perimeter of a circle of the same the extruded cross-section, mm; p = extrusion pressure, MPa; L = length of billet needed to be extruded, mm; and = initial diameter of the billet, mm 32
  • 33. Numerical methods and finite element analysis  The initial boundary conditions for SPD techniques cannot be evaluated by the change in cross-sectional dimensions since they always remain uniform. Therefore, numerical methods surrounding its processing parameters rely on the accumulated strain in the work. ECAP process, the effective strain ε after N passes  = 2 cot φ + + cosec φ + φ=channel angle; and ψ = corner angle  HPT permits a defined continuous variation of strain in a single cycle. Since the ap- plied torque exerted can be easily computed through the angle of rotation, the effective strain ε can be estimated by = N = number of turns; r = radius of the disk; and h = thickness of the disk 33
  • 34. Numerical methods and finite element analysis  Analogous to ECAP, the accumulated strain during every pass is essential to model ARB. The effective strain for N passes in ARB can be calculated by = ln r = reduction ratio per pass 34
  • 35. Numerical methods and finite element analysis 35 Fig.18. The CA predicted grain size morphology of AZ31 Mg alloy after hot deformation at (a) 573K- 0.001S-1; (b) 673K – 0.1S-1; (c) 723K-1S-1. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.) reference : Chen et al., Modeling and simulation of dynamic recrystallization behaviors of magnesium alloy AZ31B using cellular automaton method
  • 36. Summary  The bulk deformation techniques used to obtain the fine-grained or UFG materials. critical mechanical properties such as high specific strength, and good fatigue life, are vital to the advancement of the automobile and aerospace industry. As such, these techniques can be used to achieve significant grain refinement, homogeneity, and hardening of AZ31 alloy.  Under bulk deformation techniques, the highest levels of grain refinement and mechanical properties were achieved by performing asymmetric rolling, calibre rolling and three-high skew rolling. Whereas amongst SPD techniques, HPT presented the prospect of processing AZ31 alloy at room temperatures, and grains refined to the nano-range. However, only a few studies have explored the effects of combining multiple processing techniques in AZ31 alloy: enhanced tensile strength and ductility upon undergoing both ECAP and rolling, and the production of high-strength micro-gears by combining ECAP and extrusion 36
  • 37. Summary  Nevertheless, all SPD techniques are capable of producing an equiaxed UFG microstructure and superplastic elongation in AZ31 alloy. Thus, there is more attention is to- wards viable continuous production methods of UFG mate- rials. Using Finite-Element methods, the machinery behind these techniques could be designed and optimum processing parameters can be obtained for the desired mechanical property in AZ31 alloy. As I-ECAP was computationally verified and performed for AZ31 alloy, more feasibility studies can be conducted for various continuous processing techniques such as Incremental-HPT, Single-Task Incremental HPT, and Accumulative Extrusion.  Amongst Monte Carlo, Sphere growth, Inverse analysis, and various other methods used to represent microstructure evolution, the CA finite element method has been very successful in modelling Static and Dynamic recrystallization phenomenon. With only limited studies being performed, there is still of potential with the CA finite element method, to predict grain size morphology of AZ31 alloy using SPD techniques. 37