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International Journal of Computational Engineering Research||Vol, 03||Issue, 7||
||Issn 2250-3005 || ||July||2013|| Page 52
Fem Based Analysis Of Chip Tool Interactions To Study The
Stress Distribution On The Rake Face
1
Mr.G.Balamurali, 2
Mr. Bade Venkata Suresh,
3
Mrs.Y.Shireesha, 4
Mrs.T.Venkata Sylaja
1,2,3,4
PG Student, Dept of Mechanical Engineering GMR Institute of Technology
Rajam, Srikakulam, A.P, India
I. INTRODUCTION
The use of high speed air jet as a coolant in machining is a challenging scenario in environmental
friendly machining. Despite the extensive literature, air jet cooling in machining is an area of ongoing research.
Until now, the jet cooling technique has been studied only from a thermal point of view. The new aspect
investigated in this work is the chip bending ability of the jet. The idea of chip-bending and its beneficial effects
in cooling the cutting area is not related to maximizing the heat transfer, but to avoid the temperature increase.
The heat generation in the chip-tool interface is due to the contribution of deformation in the shear zone and to
the frictional contact between the chip and the rake face of the cutting tool. The importance of the frictional
contact is proportional to the friction coefficient and to the pressure of the chip on the rake face. The traditional
way of reducing this contribution is using a cutting fluid (flooding) or, more recently, injecting a coolant in the
chip-tool interface. The new approach with high speed air jet shows the temperature reduction is strongly
dependant on the position of the nozzle. By directing the jet onto the top face of the chip it is possible to reduce
the pressure on the rake face, responsible of temperature increase in the chip-tool interface. The pressure on the
top face of the chip generates a stress on the bottom face of the chip close to the constraint and in the chip-tool
interface. The global stress is due to air jet pressure and cutting pressure on the rake face. When the air jet is
directed on the top face of the chip (overhead position) the global stress is less than the cutting stress in dry
machining.A fully thermo-mechanical model has been developed with DEFORM-3D and a mechanical only
model with DEFORM-2D, in order to investigate the chip bending. From an analytical point of view the chip
can be modeled as a structural cantilevered beam with uniform load. The results from finite element modeling
show the displacement of the chip is mainly due to the chip-breaker. The displacement due to the air jet bending
moment is minimized by the stiffness close to the constraint point, but the mechanical effect of the air jet has a
significant impact on the energy in the tool.
II. DRY CUTTING MODE
A. Objective
Analysis of effect of the cutting parameters like cutting speed, feed rate and depth of cut on cutting
force components which influence the contact pressure, temperature and chip flow pattern on the rake surface
during turning operation
B. Equipment
Lathe machine, Lathe Tool Dynamometer, Amplifier, Cutting tool, PC, Job piece.
ABSTRACT
Introduction of green concepts in machining operations is being envisaged by introducing
different echo friendly cooling systems in the modern machine shops. The role of cutting fluids usage in
metal cutting is predominant as it influences the surface quality and production cost. The current work
mainly focuses on the study of chip tool interactions viz. contact pressure, temperature and chip flow
pattern on the rake surface in plain turning operation for different cutting parameters without any
cooling medium and analyze the influence of high pressure air jet as the cooling medium on the chip tool
interactions like contact pressure reducing the tool wear, cutting temperatures thereby increasing tool
life.
KEYWORDS: Modelling; Machining; Compressor; Air Jets; Nozzle;
Fem Based Analysis Of Chip…
||Issn 2250-3005 || ||July||2013|| Page 53
C. Experimental Setup
Figure 1 shows the schematic of the experimental setup for carrying out the experiment. Work piece is
mounted in the chuck of the lathe headstock. The tool dynamometer is mounted on the carriage at the place of
tool holder[6].The tool holder is mounted on the dynamometer as shown in Figure 2. Output of the dynamometer
is amplified by charge amplifier (Kistler 5070A) and data are collected in the PC by using data acquisition
system[7]. This setup is used to find the cutting forces for different speeds feeds and depth of cuts. The results are
carefully tabulated and are used for the analysis of the cutting tool ,stress distribution on the rake face of the tool
by the forces that are taken from the dynamometer
Fig 1: Schematic diagram of the experimental setup.
Fig 2: Eexperimental setup for finding the cutting forces
D. Observations of Cutting forces
Initial diameter of the bar = 25mm
Bar material = MS(Mild steel)
Cutting tool material = HSS(High speed steel)[2]
TABLE 1: OBSERVATIONS OF CUTTING FORCES WITH OUT COOLANT
Speed
(rpm)
Feed
(mm/rev.)
Depth of
Cut (mm)
Cutting
Force (N)
550 0.1 0.1 23.88
440 0.1 0.1 17.73835
330 0.1 0.1 13.9618
220 0.1 0.1 22.2015
118 0.1 0.1 14.57215
118 0.2 0.1 20.82825
220 0.2 0.1 21.293
330 0.2 0.1 19.0354
440 0.2 0.1 30.9735
550 0.2 0.1 16.86095
550 0.3 0.1 67.5965
Fem Based Analysis Of Chip…
||Issn 2250-3005 || ||July||2013|| Page 54
440 0.3 0.1 44.5175
330 0.3 0.1 36.3159
220 0.3 0.1 23.68925
118 0.3 0.1 62.866
118 0.4 0.1 46.0434
220 0.4 0.1 44.632
330 0.4 0.1 24.719
440 0.4 0.1 28.8391
III. MATERIAL PROPERTIES
____________________________________
Material : High Speed Steel
Young’s modulus : 190-210Gpa
Poisson’s ratio : 0.27
Density : 7800 kg/m3
Work piece : Mild steel
___________________________________
Fig 3: Chip Tool contact length
IV. ESTIMATION OF THE CHIP TOOL CONTACT LENGTH
A number of theoretical and experimental estimators have been proposed for the contact length in the
orthogonal cutting process Based on the experiments conducted on different types of steel using a tool with an
unrestricted rake face, a relationship between the chip–tool contact length, chip thickness, the chip compression
ratio and the friction coefficient has been developed. It suggests that the length of the sticking region is
approximately equal to the deformed chip thickness hc, and in accordance with Tay’s assumption[3]
Total chip–tool contact length Lc as shown in the Figure 3 is given as [4]
________________________________________
Lc = 2hc
Thickness of the chip = 1.5mm
Width of the chip = 4mm
Contact Length = 2*1.5 =3mm
Area of the chip contacting the tool =3*4= 12mm2
Pressure acting on the contact area =Force/Area
P1 =23.88/12 =1.99 N/mm2
Similarly for the remaining forces
P2 =1.419 N/mm2
P3 =1.163 N/mm2
P4 =1.85012 N/mm2
P5 =1.214 N/mm2
Fem Based Analysis Of Chip…
||Issn 2250-3005 || ||July||2013|| Page 55
_______________________________________________________________
V. ANLAYSIS OF CUTTING TOOL WITH OUT COOLENT
A. For the Speed (N) =550 rpm, Feed=0.1mm/rev, Depth of cut=0.1mm
1) Meshing
Finite element method is purely based on the dividing the cutting tool in to finite number of elements .Here the
edge length that is taken for division of elements is 5mm.The mesh division is as shown in the Figure 4
Fig 4 Meshing of cutting tool
2) Area Selection For Applying The Load
For applying the load that is pressure first choose the area that the chip is in contact with the tool .Then apply
the load on that area as in the Figure 5
Fig 5: Area selection for applying the load of cutting tool
3) VonMises Stress
Fem Based Analysis Of Chip…
||Issn 2250-3005 || ||July||2013|| Page 56
After load is applied by giving the material properties and constraints on the selected area, deformation and
stresses are developed .The required Von misses stresses are show in the Figure 6
Fig6 VonMisses Stresses of cutting tool
Maximum deflection is 0.151e-09
mm.
Maximum Stress is 3.21 N/mm2
.
Now for another different set of speed, feed and depth of cut Von misses stresses are taken by using ansys and
are shown in the below Figure 7.
B. For the Speed (N) =440 rpm, Feed=0.1mm/rev, Depth of cut=0.1mm ,pressure=1.419 N/mm2
Fig 7: Von misses stresses for cutting tool
Maximum Stress 2.289N/mm2
C. For the Speed (N) =440 rpm, Feed=0.1mm/rev, Depth of cut=0.1mm
Fig 8: Von misses stresses for cutting tool
Fem Based Analysis Of Chip…
||Issn 2250-3005 || ||July||2013|| Page 57
Maximum stress is 1.876N/mm2
A graph is drawn between the pressures Vs Stress. The stresses which are taken from the applied
pressures on the cutting tool, Stress varies linearly with the pressure as shown in the Figure 9
Fig 9: Pressure Vs. Stress Graph
D. TOOL LIFE
Taylor Tool Life Equation [1]
VTn
=C
Where v = cutting speed, m/min;
T = tool life, min;
n and C are parameters that depend on feed, depth of cut ,work material, and tooling material but mostly on
material (work and tool).
TABLE 2: TYPICAL VALUES OF N AND C
Tool material n C
High Speed Steel
Non Steel Work
Steel Work
0.125
0.125
120
70
Cemented carbide
Non Steel Work
Steel Work
0.25
0.25
900
500
Ceramic
Steel Work 0.6 3000
E. TOOL LIFE CALCULATIONS[5]
Cutting velocity=πDN/1000 (m/min)
D=Spindle diameter (mm)
1) Sample calculation
V1=πx25x550/1000
= 43.19 m/min
Similarly
V2= 34.55 m/min
V3=25.19 m/min
V4=17.29 m/min
2) Tool Life
VTn
=C
T1= (70/43.19)(1/0.125)
= 49.32 min
Similarly
Fem Based Analysis Of Chip…
||Issn 2250-3005 || ||July||2013|| Page 58
T2= 283.92 min
T3= 2838.2 min
T4= 72.85x103 min
Fig 9: Graph between Cutting speed Vs Tool Life
A graph is drawn between the cutting speed Vs Tool life which varies parabolic shape .As the cutting
speed increases tool life decreases as cutting speed decreases tool life increases and tool life slightly decreases at
low cutting speeds which is as shown in the Figure 9
CONCLUSION
Modeling and analysis of cutting tool which is used in the turning operation without cutting fluid ie in
dry cutting mode is done by the collecting the data of cutting forces that are acting on the rake face by the use
dynamometer .By the modeling and analysis stresses are determined ,to study the wear pattern and a system is
developed to reduce the tool wear
ACKNOWLEDGMENT
The satisfaction that accompanies the successful completion of any task would be incomplete without
introducing the people who made it possible and whose constant guidance and encouragement crowns all efforts
with success.We express our sincere gratitude to Prof Dr.C.L.V.R.S.V Prasad. Department of Mechanical
Engineering. GMRIT Rajam.We are highly indebted to him for his guidance, timely suggestions at every stage
and encouragement to complete this project work successfully Last but not the least we are deeply indebted to
our family for all their support and who stood behind me to get this project completed in time. We are thankful
to All Mighty for providing us with this opportunity
REFERENCES
[1]. Leone, W.C.; “Distribution of shear zone heat in metal cutting”; Transactions of ASME, vol. 76, pp. 121-125, 1954
[2]. Adibi-Sedeh, A.H., Madhavan, V., Bahr, B.; “Extension of Oxley’s analysis of machining to use different material models”;
ASME Journal of Manufacturing Science and Engineering, vol.125, pp.656-666, 2003
[3]. Leowen, E.G., Shaw, M.C.; “On the analysis of cutting tool temperatures”; Transactions of ASME, vol.71, pp.217-231, 1954
[4]. Jaeger, J.C.; “Moving sources of heat and the temperatures of sliding contacts”; Proceedings of Royal Society N.S.W., vol.76,
pp.203-204, 1942
[5]. Smithey, D.W., Kapoor, S.G., DeVor, R.E.; “A new mechanistic model
[6]. For predicting worn tool cutting forces”; Machining science and
[7]. Technology, vol.5/1, pp.23-42, 2001
[8]. Shaw, M.C.; “Metal Cutting Principles”; 1984; ISBN 0-19-859020-2

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International Journal of Computational Engineering Research (IJCER)

  • 1. International Journal of Computational Engineering Research||Vol, 03||Issue, 7|| ||Issn 2250-3005 || ||July||2013|| Page 52 Fem Based Analysis Of Chip Tool Interactions To Study The Stress Distribution On The Rake Face 1 Mr.G.Balamurali, 2 Mr. Bade Venkata Suresh, 3 Mrs.Y.Shireesha, 4 Mrs.T.Venkata Sylaja 1,2,3,4 PG Student, Dept of Mechanical Engineering GMR Institute of Technology Rajam, Srikakulam, A.P, India I. INTRODUCTION The use of high speed air jet as a coolant in machining is a challenging scenario in environmental friendly machining. Despite the extensive literature, air jet cooling in machining is an area of ongoing research. Until now, the jet cooling technique has been studied only from a thermal point of view. The new aspect investigated in this work is the chip bending ability of the jet. The idea of chip-bending and its beneficial effects in cooling the cutting area is not related to maximizing the heat transfer, but to avoid the temperature increase. The heat generation in the chip-tool interface is due to the contribution of deformation in the shear zone and to the frictional contact between the chip and the rake face of the cutting tool. The importance of the frictional contact is proportional to the friction coefficient and to the pressure of the chip on the rake face. The traditional way of reducing this contribution is using a cutting fluid (flooding) or, more recently, injecting a coolant in the chip-tool interface. The new approach with high speed air jet shows the temperature reduction is strongly dependant on the position of the nozzle. By directing the jet onto the top face of the chip it is possible to reduce the pressure on the rake face, responsible of temperature increase in the chip-tool interface. The pressure on the top face of the chip generates a stress on the bottom face of the chip close to the constraint and in the chip-tool interface. The global stress is due to air jet pressure and cutting pressure on the rake face. When the air jet is directed on the top face of the chip (overhead position) the global stress is less than the cutting stress in dry machining.A fully thermo-mechanical model has been developed with DEFORM-3D and a mechanical only model with DEFORM-2D, in order to investigate the chip bending. From an analytical point of view the chip can be modeled as a structural cantilevered beam with uniform load. The results from finite element modeling show the displacement of the chip is mainly due to the chip-breaker. The displacement due to the air jet bending moment is minimized by the stiffness close to the constraint point, but the mechanical effect of the air jet has a significant impact on the energy in the tool. II. DRY CUTTING MODE A. Objective Analysis of effect of the cutting parameters like cutting speed, feed rate and depth of cut on cutting force components which influence the contact pressure, temperature and chip flow pattern on the rake surface during turning operation B. Equipment Lathe machine, Lathe Tool Dynamometer, Amplifier, Cutting tool, PC, Job piece. ABSTRACT Introduction of green concepts in machining operations is being envisaged by introducing different echo friendly cooling systems in the modern machine shops. The role of cutting fluids usage in metal cutting is predominant as it influences the surface quality and production cost. The current work mainly focuses on the study of chip tool interactions viz. contact pressure, temperature and chip flow pattern on the rake surface in plain turning operation for different cutting parameters without any cooling medium and analyze the influence of high pressure air jet as the cooling medium on the chip tool interactions like contact pressure reducing the tool wear, cutting temperatures thereby increasing tool life. KEYWORDS: Modelling; Machining; Compressor; Air Jets; Nozzle;
  • 2. Fem Based Analysis Of Chip… ||Issn 2250-3005 || ||July||2013|| Page 53 C. Experimental Setup Figure 1 shows the schematic of the experimental setup for carrying out the experiment. Work piece is mounted in the chuck of the lathe headstock. The tool dynamometer is mounted on the carriage at the place of tool holder[6].The tool holder is mounted on the dynamometer as shown in Figure 2. Output of the dynamometer is amplified by charge amplifier (Kistler 5070A) and data are collected in the PC by using data acquisition system[7]. This setup is used to find the cutting forces for different speeds feeds and depth of cuts. The results are carefully tabulated and are used for the analysis of the cutting tool ,stress distribution on the rake face of the tool by the forces that are taken from the dynamometer Fig 1: Schematic diagram of the experimental setup. Fig 2: Eexperimental setup for finding the cutting forces D. Observations of Cutting forces Initial diameter of the bar = 25mm Bar material = MS(Mild steel) Cutting tool material = HSS(High speed steel)[2] TABLE 1: OBSERVATIONS OF CUTTING FORCES WITH OUT COOLANT Speed (rpm) Feed (mm/rev.) Depth of Cut (mm) Cutting Force (N) 550 0.1 0.1 23.88 440 0.1 0.1 17.73835 330 0.1 0.1 13.9618 220 0.1 0.1 22.2015 118 0.1 0.1 14.57215 118 0.2 0.1 20.82825 220 0.2 0.1 21.293 330 0.2 0.1 19.0354 440 0.2 0.1 30.9735 550 0.2 0.1 16.86095 550 0.3 0.1 67.5965
  • 3. Fem Based Analysis Of Chip… ||Issn 2250-3005 || ||July||2013|| Page 54 440 0.3 0.1 44.5175 330 0.3 0.1 36.3159 220 0.3 0.1 23.68925 118 0.3 0.1 62.866 118 0.4 0.1 46.0434 220 0.4 0.1 44.632 330 0.4 0.1 24.719 440 0.4 0.1 28.8391 III. MATERIAL PROPERTIES ____________________________________ Material : High Speed Steel Young’s modulus : 190-210Gpa Poisson’s ratio : 0.27 Density : 7800 kg/m3 Work piece : Mild steel ___________________________________ Fig 3: Chip Tool contact length IV. ESTIMATION OF THE CHIP TOOL CONTACT LENGTH A number of theoretical and experimental estimators have been proposed for the contact length in the orthogonal cutting process Based on the experiments conducted on different types of steel using a tool with an unrestricted rake face, a relationship between the chip–tool contact length, chip thickness, the chip compression ratio and the friction coefficient has been developed. It suggests that the length of the sticking region is approximately equal to the deformed chip thickness hc, and in accordance with Tay’s assumption[3] Total chip–tool contact length Lc as shown in the Figure 3 is given as [4] ________________________________________ Lc = 2hc Thickness of the chip = 1.5mm Width of the chip = 4mm Contact Length = 2*1.5 =3mm Area of the chip contacting the tool =3*4= 12mm2 Pressure acting on the contact area =Force/Area P1 =23.88/12 =1.99 N/mm2 Similarly for the remaining forces P2 =1.419 N/mm2 P3 =1.163 N/mm2 P4 =1.85012 N/mm2 P5 =1.214 N/mm2
  • 4. Fem Based Analysis Of Chip… ||Issn 2250-3005 || ||July||2013|| Page 55 _______________________________________________________________ V. ANLAYSIS OF CUTTING TOOL WITH OUT COOLENT A. For the Speed (N) =550 rpm, Feed=0.1mm/rev, Depth of cut=0.1mm 1) Meshing Finite element method is purely based on the dividing the cutting tool in to finite number of elements .Here the edge length that is taken for division of elements is 5mm.The mesh division is as shown in the Figure 4 Fig 4 Meshing of cutting tool 2) Area Selection For Applying The Load For applying the load that is pressure first choose the area that the chip is in contact with the tool .Then apply the load on that area as in the Figure 5 Fig 5: Area selection for applying the load of cutting tool 3) VonMises Stress
  • 5. Fem Based Analysis Of Chip… ||Issn 2250-3005 || ||July||2013|| Page 56 After load is applied by giving the material properties and constraints on the selected area, deformation and stresses are developed .The required Von misses stresses are show in the Figure 6 Fig6 VonMisses Stresses of cutting tool Maximum deflection is 0.151e-09 mm. Maximum Stress is 3.21 N/mm2 . Now for another different set of speed, feed and depth of cut Von misses stresses are taken by using ansys and are shown in the below Figure 7. B. For the Speed (N) =440 rpm, Feed=0.1mm/rev, Depth of cut=0.1mm ,pressure=1.419 N/mm2 Fig 7: Von misses stresses for cutting tool Maximum Stress 2.289N/mm2 C. For the Speed (N) =440 rpm, Feed=0.1mm/rev, Depth of cut=0.1mm Fig 8: Von misses stresses for cutting tool
  • 6. Fem Based Analysis Of Chip… ||Issn 2250-3005 || ||July||2013|| Page 57 Maximum stress is 1.876N/mm2 A graph is drawn between the pressures Vs Stress. The stresses which are taken from the applied pressures on the cutting tool, Stress varies linearly with the pressure as shown in the Figure 9 Fig 9: Pressure Vs. Stress Graph D. TOOL LIFE Taylor Tool Life Equation [1] VTn =C Where v = cutting speed, m/min; T = tool life, min; n and C are parameters that depend on feed, depth of cut ,work material, and tooling material but mostly on material (work and tool). TABLE 2: TYPICAL VALUES OF N AND C Tool material n C High Speed Steel Non Steel Work Steel Work 0.125 0.125 120 70 Cemented carbide Non Steel Work Steel Work 0.25 0.25 900 500 Ceramic Steel Work 0.6 3000 E. TOOL LIFE CALCULATIONS[5] Cutting velocity=πDN/1000 (m/min) D=Spindle diameter (mm) 1) Sample calculation V1=πx25x550/1000 = 43.19 m/min Similarly V2= 34.55 m/min V3=25.19 m/min V4=17.29 m/min 2) Tool Life VTn =C T1= (70/43.19)(1/0.125) = 49.32 min Similarly
  • 7. Fem Based Analysis Of Chip… ||Issn 2250-3005 || ||July||2013|| Page 58 T2= 283.92 min T3= 2838.2 min T4= 72.85x103 min Fig 9: Graph between Cutting speed Vs Tool Life A graph is drawn between the cutting speed Vs Tool life which varies parabolic shape .As the cutting speed increases tool life decreases as cutting speed decreases tool life increases and tool life slightly decreases at low cutting speeds which is as shown in the Figure 9 CONCLUSION Modeling and analysis of cutting tool which is used in the turning operation without cutting fluid ie in dry cutting mode is done by the collecting the data of cutting forces that are acting on the rake face by the use dynamometer .By the modeling and analysis stresses are determined ,to study the wear pattern and a system is developed to reduce the tool wear ACKNOWLEDGMENT The satisfaction that accompanies the successful completion of any task would be incomplete without introducing the people who made it possible and whose constant guidance and encouragement crowns all efforts with success.We express our sincere gratitude to Prof Dr.C.L.V.R.S.V Prasad. Department of Mechanical Engineering. GMRIT Rajam.We are highly indebted to him for his guidance, timely suggestions at every stage and encouragement to complete this project work successfully Last but not the least we are deeply indebted to our family for all their support and who stood behind me to get this project completed in time. We are thankful to All Mighty for providing us with this opportunity REFERENCES [1]. Leone, W.C.; “Distribution of shear zone heat in metal cutting”; Transactions of ASME, vol. 76, pp. 121-125, 1954 [2]. Adibi-Sedeh, A.H., Madhavan, V., Bahr, B.; “Extension of Oxley’s analysis of machining to use different material models”; ASME Journal of Manufacturing Science and Engineering, vol.125, pp.656-666, 2003 [3]. Leowen, E.G., Shaw, M.C.; “On the analysis of cutting tool temperatures”; Transactions of ASME, vol.71, pp.217-231, 1954 [4]. Jaeger, J.C.; “Moving sources of heat and the temperatures of sliding contacts”; Proceedings of Royal Society N.S.W., vol.76, pp.203-204, 1942 [5]. Smithey, D.W., Kapoor, S.G., DeVor, R.E.; “A new mechanistic model [6]. For predicting worn tool cutting forces”; Machining science and [7]. Technology, vol.5/1, pp.23-42, 2001 [8]. Shaw, M.C.; “Metal Cutting Principles”; 1984; ISBN 0-19-859020-2