Abstract
This study proposes a comprehensive experiment-based method to determine stress field and slip lines in metal cutting process. The chip geometry and workpiece's strain and strain rate fields are determined using an in situ imaging technique. The two-dimensional (2D) heat transfer problem for the steady-state cutting process is solved to derive the cutting temperature, and the flow stresses of work material in the main deformation zone are calculated based on the plasticity theory. Furthermore, the stress field is comprehensively determined to satisfy the stress equilibrium, friction law along the tool-chip interface, and traction-free boundary condition along the uncut chip surface. In addition, slip lines in the main deformation zone are derived according to the direction of maximum shear stress without the assumption of perfect rigid-plastic material. The proposed method is validated by comparing the cutting forces calculated based on the obtained stress field with the experimental results.
Issue Section:
Research Papers
References
1.
Huang
, X. D.
, Zhang
, X. M.
, and Ding
, H.
, 2016
, “A Novel Relaxation-Free Analytical Method for Prediction of Residual Stress Induced by Mechanical Load During Orthogonal Machining
,” Int. J. Mech. Sci.
, 115
, pp. 299
–309
. 10.1016/j.ijmecsci.2016.06.0242.
Liang
, S.
, and Su
, J.-C.
, 2007
, “Residual Stress Modeling in Orthogonal Machining
,” CIRP Ann.
, 56
(1
), pp. 65
–68
. 10.1016/j.cirp.2007.05.0183.
Childs
, T.
, 2013
, “Ductile Shear Failure Damage Modelling and Predicting Built-Up Edge in Steel Machining
,” J. Mater. Process. Technol.
, 213
(11
), pp. 1954
–1969
. 10.1016/j.jmatprotec.2013.05.0174.
Sun
, J.
, and Guo
, Y. B.
, 2009
, “Material Flow Stress and Failure in Multiscale Machining Titanium Alloy Ti-6Al-4 V
,” Int. J. Adv. Manuf. Technol.
, 41
(7–8
), pp. 651
–659
. 10.1007/s00170-008-1521-65.
Yen
, Y.-C.
, Söhner
, J.
, Lilly
, B.
, and Altan
, T.
, 2004
, “Estimation of Tool Wear in Orthogonal Cutting Using the Finite Element Analysis
,” J. Mater. Process. Technol.
, 146
(1
), pp. 82
–91
. 10.1016/S0924-0136(03)00847-16.
Li
, G.
, Yi
, S.
, Wen
, C.
, and Ding
, S.
, 2018
, “Wear Mechanism and Modeling of Tribological Behavior of Polycrystalline Diamond Tools When Cutting Ti6Al4 V
,” ASME J. Manuf. Sci. Eng.
, 140
(12
), p. 121011
. 10.1115/1.40413277.
Wang
, F.
, Tao
, Q.
, Xiao
, L.
, Hu
, J.
, and Xu
, L.
, 2018
, “Simulation and Analysis of Serrated Chip Formation in Cutting Process of Hardened Steel Considering Ploughing-Effect
,” J. Mech. Sci. Technol.
, 32
(5
), pp. 2029
–2037
. 10.1007/s12206-018-0411-68.
Fang
, N.
, Jawahir
, I.
, and Oxley
, P.
, 2001
, “A Universal Slip-Line Model With Non-Unique Solutions for Machining With Curled Chip Formation and a Restricted Contact Tool
,” Int. J. Mech. Sci.
, 43
(2
), pp. 557
–580
. 10.1016/S0020-7403(99)00117-49.
Fang
, N.
, 2003
, “Slip-Line Modeling of Machining With a Rounded-Edge Tool—Part I: New Model and Theory
,” J. Mech. Phys. Solids
, 51
(4
), pp. 715
–742
. 10.1016/S0022-5096(02)00060-110.
Uysal
, A.
, and Altan
, E.
, 2014
, “A New Slip-Line Field Modeling of Orthogonal Machining With a Rounded-Edge Worn Cutting Tool
,” Mach. Sci. Technol.
, 18
(3
), pp. 386
–423
. 10.1080/10910344.2014.92537511.
Uysal
, A.
, and Altan
, E.
, 2016
, “Slip-line Field Modelling of Rounded-Edge Cutting Tool for Orthogonal Machining
,” Proc. Inst. Mech. Eng. Part B: J. Eng. Manuf.
, 230
(10
), pp. 1925
–1941
. 10.1177/095440541557756012.
Uysal
, A.
, and Jawahir
, I. S.
, 2019
, “A Slip-Line Model for Serrated Chip Formation in Machining of Stainless Steel and Validation
,” Int. J. Adv. Manuf. Technol.
, 101
(9–12
), pp. 2449
–2464
. 10.1007/s00170-018-3136-x13.
Oxley
, P. L. B.
, 1989
, The Mechanics of Machining: An Analytical Approach to Assessing Machinability
, E. Horwood
, Chichester, England
.14.
Özel
, T.
, and Zeren
, E.
, 2006
, “A Methodology to Determine Work Material Flow Stress and Tool-Chip Interfacial Friction Properties by Using Analysis of Machining
,” ASME J. Manuf. Sci. Eng.
, 128
(1
), pp. 119
–129
. 10.1115/1.211876715.
Lalwani
, D. I.
, Mehta
, N. K.
, and Jain
, P. K.
, 2009
, “Extension of Oxley’s Predictive Machining Theory for Johnson and Cook Flow Stress Model
,” J. Mater. Process. Technol.
, 209
(12–13
), pp. 5305
–5312
. 10.1016/j.jmatprotec.2009.03.02016.
Li
, B.
, Wang
, X.
, Hu
, Y.
, and Li
, C.
, 2011
, “Analytical Prediction of Cutting Forces in Orthogonal Cutting Using Unequal Division Shear-Zone Model
,” Int. J. Adv. Manuf. Technol.
, 54
(5–8
), pp. 431
–443
. 10.1007/s00170-010-2940-817.
Ning
, J.
, Nguyen
, V.
, and Liang
, S. Y.
, 2019
, “Analytical Modeling of Machining Forces of Ultra-Fine-Grained Titanium
,” Int. J. Adv. Manuf. Technol.
, 101
(4
), pp. 627
–636
. 10.1007/s00170-018-2889-618.
Raczy
, A.
, Elmadagli
, M.
, Altenhof
, W.
, and Alpas
, A.
, 2004
, “An Eulerian Finite-Element Model for Determination of Deformation State of a Copper Subjected to Orthogonal Cutting
,” Metall. Mater. Trans. A
, 35
(8
), pp. 2393
–2400
. 10.1007/s11661-006-0219-319.
Maranho
, C.
, and Davim
, J. P.
, 2010
, “Finite Element Modelling of Machining of AISI 316 Steel: Numerical Simulation and Experimental Validation
,” Simul. Modell. Pract. Theory
, 18
(2
), pp. 139
–156
. 10.1016/j.simpat.2009.10.00120.
Wan
, L.
, and Wang
, D.
, 2015
, “Numerical Analysis of the Formation of the Dead Metal Zone With Different Tools in Orthogonal Cutting
,” Simul. Modell. Pract. Theory
, 56
, pp. 1
–15
. 10.1016/j.simpat.2015.04.00621.
Rodríguez
, J. M.
, Carbonell
, J. M.
, Cante
, J. C.
, and Oliver
, J.
, 2017
, “Continuous Chip Formation in Metal Cutting Processes Using the Particle Finite Element Method (PFEM)
,” Int. J. Solids Struct.
, 120
, pp. 81
–102
. 10.1016/j.ijsolstr.2017.04.03022.
Yanda
, H.
, Ghani
, J. A.
, and Haron
, C. H. C.
, 2010
, “Effect of Rake Angle on Stress, Strain and Temperature on the Edge of Carbide Cutting Tool in Orthogonal Cutting Using FEM Simulation
,” J. Eng. Technol. Sci.
, 42
(2
), pp. 179
–194
. 10.5614/itbj.eng.sci.2010.42.2.623.
Bagci
, E.
, 2011
, “3-D Numerical Analysis of Orthogonal Cutting Process via Mesh-Free Method
,” Int. J. Phys. Sci.
, 6
(6
), pp. 1267
–1282
.24.
Ding
, H.
, and Shin
, Y. C.
, 2013
, “Multi-Physics Modeling and Simulations of Surface Microstructure Alteration in Hard Turning
,” J. Mater. Process. Technol.
, 213
(6
), pp. 877
–886
. 10.1016/j.jmatprotec.2012.12.01625.
Ding
, H.
, and Shin
, Y. C.
, 2011
, “Dislocation Density-Based Grain Refinement Modeling of Orthogonal Cutting of Titanium
,” ASME J. Manuf. Sci. Eng.
, 136
(4
), pp. 152
–161
. 10.1115/msec2011-5022026.
Luttervelt
, C. A. V.
, et al, 1998
, “Present Situation and Future Trends in Modelling of Machining Operations Progress Report of the CIRP Working Group 'Modelling of Machining Operation'
,” 47
(2
), pp. 587
–626
. 10.1016/s0007-8506(07)63244-227.
Zhang
, D.
, Zhang
, X.-M.
, and Ding
, H.
, 2018
, “Hybrid Digital Image Correlation–Finite Element Modeling Approach for Modeling of Orthogonal Cutting Process
,” ASME J. Manuf. Sci. Eng.
, 140
(4
), p. 041018
. 10.1115/1.403899828.
Harzallah
, M.
, Pottier
, T.
, Gilblas
, R.
, Landon
, Y.
, and Senatore
, J.
, 2019
, “Thermomechanical Coupling Investigation in Ti-6Al-4V Orthogonal Cutting: Experimental and Numerical Confrontation
,” Int. J. Mech. Sci.
, 169
, p. 105322
. 10.1016/j.ijmecsci.2019.10532229.
Chandrasekaran
, H.
, and Kapoor
, D.
, 1965
, “Photoelastic Analysis of Tool-Chip Interface Stresses
,” ASME J. Eng. Ind.
, 87
(4
), pp. 495
–502
. 10.1115/1.367086930.
Usui
, E.
, and Takeyama
, H.
, 1960
, “A Photoelastic Analysis of Machining Stresses
,” ASME J. Eng. Ind.
, 82
(4
), pp. 303
–308
. 10.1115/1.366423331.
Ramalingam
, S.
, 1971
, “A Photoelastic Study of Stress Distribution During Orthogonal Cutting—Part 2: Photoplasticity Observations
,” Int. J. Mech. Sci.
, 13
(4
), pp. 373
–387
. 10.1115/1.342796032.
Palmer
, W.
, and Oxley
, P.
, 1959
, “Mechanics of Orthogonal Machining
,” Proc. Inst. Mech. Eng.
, 173
(1
), pp. 623
–654
. 10.1243/PIME_PROC_1959_173_053_0233.
Bitans
, K.
, and Brown
, R.
, 1965
, “An Investigation of the Deformation in Orthogonal Cutting
,” Int. J. Mach. Tool Des. Res.
, 5
(3
), pp. 155
–165
. 10.1016/0020-7357(65)90023-534.
Childs
, T.
, 1971
, “A new Visio-Plasticity Technique and a Study of Curly Chip Formation
,” Int. J. Mech. Sci.
, 13
(4
), pp. 373
–387
. 10.1016/0020-7403(71)90061-035.
Zhang
, D.
, Zhang
, X.-M.
, Xu
, W.-J.
, and Ding
, H.
, 2017
, “Stress Field Analysis in Orthogonal Cutting Process Using Digital Image Correlation Technique
,” ASME J. Manuf. Sci. Eng.
, 139
(3
), p. 031001
. 10.1115/1.403392836.
Baizeau
, T.
, Campocasso
, S.
, Rossi
, F.
, Poulachon
, G.
, and Hild
, F.
, 2016
, “Cutting Force Sensor Based on Digital Image Correlation for Segmented Chip Formation Analysis
,” J. Mater. Process. Technol.
, 238
, pp. 466
–473
. 10.1016/j.jmatprotec.2016.07.01637.
Peng
, B.
, Bergs
, T.
, Schraknepper
, D.
, Smigielski
, T.
, and Klocke
, F.
, 2020
, “Development and Validation of a New Friction Model for Cutting Processes
,” Int. J. Adv. Manuf. Technol.
, 107
(4
), pp. 1
–13
. 10.1007/s00170-019-04709-838.
de Souza Neto
, E. A.
, Peric
, D.
, and Owen
, D. R. J.
, 2008
, Computational Methods for Plasticity: Theory and Applications
, Wiley
, New York
.39.
Johnson
, G. R.
, and Cook
, W. H.
, 1983
, “A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures
,” Proceedings of the 7th International Symposium on Ballistics
, The Netherlands
, Vol. 21
, No. 1
, pp. 541
–547
.40.
Zhang
, D.
, Zhang
, X.-M.
, Nie
, G.-C.
, Yang
, Z.-Y.
, and Ding
, H.
, 2021
, “Characterization of Material Strain and Thermal Softening Effects in the Cutting Process
,” Int. J. Mach. Tools Manuf.
, 160
, p. 103672
. 10.1016/j.ijmachtools.2020.10367241.
Islam
, C.
, and Altintas
, Y.
, 2019
, “A Two Dimensional Transient Thermal Model for Coated Cutting Tools
,” ASME J. Manuf. Sci. Eng.
, 101
(4
), pp. 627
–636
.42.
Grzesik
, W.
, Bartoszuk
, M.
, and Nieslony
, P.
, 2004
, “Finite Difference Analysis of the Thermal Behaviour of Coated Tools in Orthogonal Cutting of Steels
,” Int. J. Mach. Tools Manuf.
, 44
(14
), pp. 1451
–1462
. 10.1016/j.ijmachtools.2004.05.00843.
Zorev
, N.
, 1963
, “Inter-Relationship Between Shear Processes Occurring Along Tool Face and Shear Plane in Metal Cutting
,” Int. Res. Prod. Eng.
, 49
, pp. 143
–152
.44.
Roth
, R.
, and Oxley
, P. L. B.
, 1972
, “Slip-Line Field Analysis for Orthogonal Machining Based Upon Experimental Flow Fields
,” J. Mech. Eng. Sci.
, 14
(2
), pp. 85
–97
. 10.1243/JMES_JOUR_1972_014_015_02Copyright © 2021 by ASME
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