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Modeling of machining-induced residual stresses

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Abstract

Machining-induced residual stresses not only have great influence on the fatigue life of machined components, but also can cause serious distortion in machining of components with large sizes. Thus, it is of great significance to predict and control residual stresses induced by machining. This paper reviews the exploration of residual stress prediction models and three main methods for predicting residual stresses during the last few decades, i.e., empirical, analytical and finite element methods (FEMs), which are introduced in detail. Empirical methods together with effects of different cutting parameters and influential factors on residual stress are classified according to the published experimental results. They are convenient but have limited application range since they are usually established under certain conditions. Analytical methods, which aim at theoretically investigating the instantaneous stresses and temperature induced by machining and revealing how residual stresses are accumulated during the machining process, are explained and discussed according to the evolution histories of all existing approaches. It is observed that different approaches together with some relevant machining mechanisms are merged into the analyzing procedures. Finite element methods, which are adopted to intuitively simulate the machining process, are reviewed at the end of this paper. It is found that FEMs are helpful to study the influential factors and to bridge industry-relevant parameters, but have low efficiency, especially for the three-dimensional models. Advantages and disadvantages corresponding to every model are discussed and summarized. From comprehensive review, it can be concluded that develo** a more accurate residual stress measuring method, establishing a more general analytical model and improving the computational efficiency of finite element analysis are greatly desired.

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References

  1. Matsumoto Y, Magda D, Hoeppner DW, Kim TY (1991) Effect of machining processes on the fatigue strength of hardened AISI 4340 steel. J Eng Ind 113(2):154–159

    Article  Google Scholar 

  2. Sasahara H (2005) The effect on fatigue life of residual stress and surface hardness resulting from different cutting conditions of 0.45%C steel. Int J Mach Tools Manuf 45(2):131–136

    Article  Google Scholar 

  3. **e X, Zhao R, Chen H (2012) Residual stress factors analysis in high-speed milling of turbine blade. Modul Mach Tool Autom Manuf Tech 2012(11):15–17

    Google Scholar 

  4. Koster WP, Field M, Kahles JF, Fritz LJ, Gatto LR (1970) Surface integrity of machined structural components, Technical report, Metcut Research Associates, Inc., Cincinnati OH

  5. Huang Q, Ren JX (1991) Surface integrity and its effects on the fatigue life of the nickel-based superalloy gh33a. Int J Fatigue 13(4):322–326

    Article  CAS  Google Scholar 

  6. Javidi A, Rieger U, Eichlseder W (2008) The effect of machining on the surface integrity and fatigue life. Int J Fatigue 30(10):2050–2055

    Article  CAS  Google Scholar 

  7. Li JG, Wang SQ (2017) Distortion caused by residual stresses in machining aeronautical aluminum alloy parts: recent advances. Int J Adv Manuf Technol 89(1–4):997–1012

    Article  Google Scholar 

  8. Madariaga A, Perez I, Arrazola P, Sanchez R, Ruiz J, Rubio F (2018) Reduction of distortions in large aluminium parts by controlling machining-induced residual stresses. Int J Adv Manuf Technol 97(1–4):967–978

    Article  Google Scholar 

  9. Huang X, Sun J, Li J (2015) Effect of initial residual stress and machining-induced residual stress on the deformation of aluminium alloy plate. Strojniski Vestnik - J Mech Eng 61(2):131–137

    Article  Google Scholar 

  10. Jiang X, Zhu Y, Zhang Z, Guo M, Ding Z (2018) Investigation of residual impact stress and its effects on the precision during milling of the thin-walled part. Int J Adv Manuf Technol 97(1–4):1–16

    Article  Google Scholar 

  11. Li X, Yu J, Zhao P (2016) Research status of machining deformation control method and technology of aeroengine blade. Aeronaut Manuf Technol 21:41–62

    Google Scholar 

  12. Zlatin N, Field M (1973) Procedures and precautions in machining titanium alloys. Springer, New York

    Book  Google Scholar 

  13. Mantle AL, Aspinwall DK (2001) Surface integrity of a high speed milled gamma titanium aluminide. J Mater Process Technol 118(1–3):143–150

    Article  CAS  Google Scholar 

  14. Capello E (2005) Residual stresses in turning: part I—influence of process parameters. J Mater Process Technol 160(2):221–228

    Article  CAS  Google Scholar 

  15. Su J (2006) Residual stress modeling in machining processes. Ph.D. Thesis, Georgia Institute of Technology, Atlanta

  16. Sun J, Guo YB (2009) A comprehensive experimental study on surface integrity by end milling Ti–6Al–4V. J Mater Process Technol 209(8):4036–4042

    Article  CAS  Google Scholar 

  17. Schlauer C, Peng RL, Oden M (2002) Residual stresses in a nickel-based superalloy introduced by turning. Mater Sci Forum 404–407:173–178

    Article  Google Scholar 

  18. Narutaki N, Murakoshi A, Motonishi S, Takeyama H (1983) Study on machining of titanium alloys. CIRP Ann Manuf Technol 32(1):65–69

    Article  Google Scholar 

  19. Kortabarri A, Madariag A, Fernandez E, Esnaol JA, Arrazola PJ (2011) A comparative study of residual stress profiles on inconel 718 induced by dry face turning. Proc Eng 19(1):228–234

    Article  Google Scholar 

  20. Denkena B, Boehnke D, Leon LD (2008) Machining induced residual stress in structural aluminum parts. Prod Eng 2(3):247–253

    Article  Google Scholar 

  21. Huang X, Sun J, Li J, Han X, **ong Q (2013) An experimental investigation of residual stresses in high-speed end milling 7050–T7451 aluminum alloy. Adv Mech Eng 2013(2):435–447

    Google Scholar 

  22. Sharman ARC, Hughes JI, Ridgway K (2006) An analysis of the residual stresses generated in Inconel 718 when turning. J Mater Process Technol 173(3):359–367

    Article  CAS  Google Scholar 

  23. Liu M, Takagi JI, Tsukuda A (2004) Effect of tool nose radius and tool wear on residual stress distribution in hard turning of bearing steel. J Mater Process Technol 150(3):234–241

    Article  CAS  Google Scholar 

  24. Wyen CF, Jaeger D, Wegener K (2013) Influence of cutting edge radius on surface integrity and burr formation in milling titanium. Int J Adv Manuf Technol 67(1–4):589–599

    Article  Google Scholar 

  25. Outeiro J, Pina J, M’Saoubi R, Pusavec F, Jawahir I (2008) Analysis of residual stresses induced by dry turning of difficult-to-machine materials. CIRP Ann Manuf Technol 57(1):77–80

    Article  Google Scholar 

  26. Jeelani S, Biswas S, Natarajan R (1986) Effect of cutting speed and tool rake angle on residual stress distribution in machining 2024–t351 aluminium alloy—unlubricated conditions. J Mater Sci 21(8):2705–2710. https://doi.org/10.1007/BF00551476

    Article  Google Scholar 

  27. Daymi A, Boujelbene M, Amara AB, Bayraktar E, Katundi D (2011) Surface integrity in high speed end milling of titanium alloy Ti–6Al–4V. Mater Sci Technol 27(1):387–394

    Article  Google Scholar 

  28. Arunachalam RM, Mannan MA, Spowage AC (2004) Residual stress and surface roughness when facing age hardened Inconel 718 with CBN and ceramic cutting tools. Int J Mach Tools Manuf 44(9):879–887

    Article  Google Scholar 

  29. Yao C, Wu D, Tan L, Ren J, Shi K, Yang Z (2013) Effects of cutting parameters on surface residual stress and its mechanism in high-speed milling of TB6. Proc Inst Mech Eng B J Eng Manuf 227(4):483–493

    Article  CAS  Google Scholar 

  30. Masoudi S, Amini S, Saeidi E, Eslami-Chalander H (2015) Effect of machining-induced residual stress on the distortion of thin-walled parts. Int J Adv Manuf Technol 76(1–4):597–608

    Article  Google Scholar 

  31. Fuh KH, Wu CF (1995) A residual-stress model for the milling of aluminum alloy (2014–T6). J Mater Process Technol 51(1):87–105

    Article  Google Scholar 

  32. El-Axir MH (2002) A method of modeling residual stress distribution in turning for different materials. Int J Mach Tools Manuf 42(9):1055–1063

    Article  Google Scholar 

  33. Mittal S, Liu CR (1998) A method of modeling residual stresses in superfinish hard turning. Wear 218(1):21–33

    Article  CAS  Google Scholar 

  34. Sridhar BR, Devananda G, Ramachandra K, Bhat R (2003) Effect of machining parameters and heat treatment on the residual stress distribution in titanium alloy IMI-834. J Mater Process Technol 139(1–3):628–634

    Article  CAS  Google Scholar 

  35. Ulutan D, Arisoy YM, Ozel T, Mears L (2014) Empirical modeling of residual stress profile in machining nickel-based superalloys using the sinusoidal decay function. Proc CIRP 13:365–370

    Article  Google Scholar 

  36. Liang T, Zhang D, Yao C, Wu D, Zhang J (2017) Evolution and empirical modeling of compressive residual stress profile after milling, polishing and shot peening for TC17 alloy. J Manuf Processes 26:155–165

    Article  Google Scholar 

  37. Ulutan D, Ozel T (2011) Machining induced surface integrity in titanium and nickel alloys: a review. Int J Mach Tools Manuf 51(3):250–280

    Article  Google Scholar 

  38. Thakur A, Gangopadhyay S (2016) State-of-the-art in surface integrity in machining of nickel-based super alloys. Int J Mach Tools Manuf 100:25–54

    Article  Google Scholar 

  39. Liang SY, Su JC (2007) Residual stress modeling in orthogonal machining. CIRP Ann Manuf Technol 56(1):65–68

    Article  Google Scholar 

  40. Merwin JE, Johnson KL (1963) An analysis of plastic deformation in rolling contact. Archive Proc Inst Mech Eng 177(1):676–690

    Article  Google Scholar 

  41. Johnson K (1985) Contact mechanics. Cambridge University Press, Cambridge

    Book  Google Scholar 

  42. Agrawal S, Joshi SS (2013) Analytical modelling of residual stresses in orthogonal machining of AISI4340 steel. J Manuf Processes 15(1):167–179

    Article  Google Scholar 

  43. Su JC, Young KA, Ma K, Srivatsa S, Morehouse JB, Liang SY (2013) Modeling of residual stresses in milling. Int J Adv Manuf Technol 65(5–8):717–733

    Article  Google Scholar 

  44. Huang X, Zhang X, Ding H (2015) An analytical model of residual stress for flank milling of Ti–6Al–4V. Proc CIRP 31:287–292

    Article  CAS  Google Scholar 

  45. Lazoglu I, Ulutan D, Alaca BE, Engin S, Kaftanoglu B (2008) An enhanced analytical model for residual stress prediction in machining. CIRP Ann Manuf Technol 57(1):81–84

    Article  Google Scholar 

  46. Mcdowell DL (1997) An approximate algorithm for elastic-plastic two-dimensional rolling/sliding contact. Wear 211(2):237–246

    Article  CAS  Google Scholar 

  47. Foletti S, Desimone HJ (2007) A semi-analytical approach for two-dimensional rolling/backslash sliding contact with applications to shakedown analysis. Wear 262(7–8):850–857

    Article  CAS  Google Scholar 

  48. Waldorf DJ, Devor RE, Kapoor SG (1998) A slip-line field for ploughing during orthogonal cutting. Trans ASME J Manuf Sci Eng 120(4):693–699

    Article  Google Scholar 

  49. Oxley PLB (1989) The mechanics of machining: an analytical approach to assessing machinability. E. Horwood, Chichester [England]

    Google Scholar 

  50. Wan M, Ye XY, Yang Y, Zhang WH, Wan M, Ye XY, Yang Y, Zhang WH (2017) Theoretical prediction of machining-induced residual stresses in three-dimensional oblique milling processes. Int J Mech Sci 133:426–437

    Article  Google Scholar 

  51. Altintas Y (2012) Manufacturing automation: metal cutting mechanics, machine tool vibrations, and CNC design. Cambridge University Press, Cambridge

    Google Scholar 

  52. Jacobus K, Devor RE, Kapoor SG (2000) Machining-induced residual stress: experimentation and modeling. J Manuf Sci Eng 122(1):633–647

    Article  Google Scholar 

  53. Taylor GI, Quinney H (1934) The latent energy remaining in a metal after cold working. Proc R Soc A 143(849):307–326

    Article  Google Scholar 

  54. Sekhon GS, Chenot JL (1993) Numerical simulation of continuous chip formation during non-steady orthogonal cutting. Eng Comput 10(1):31–48

    Article  Google Scholar 

  55. Ulutan D, Alaca BE, Lazoglu I (2007) Analytical modelling of residual stresses in machining. J Mater Process Tech 183(1):77–87

    Article  CAS  Google Scholar 

  56. Komanduri R, Hou ZB (2000) Thermal modeling of the metal cutting process: part I—temperature rise distribution due to shear plane heat source. Int J Mech Sci 42(9):1715–1752

    Article  Google Scholar 

  57. Komanduri R, Hou ZB (2001) Thermal modeling of the metal cutting process—part II: temperature rise distribution due to frictional heat source at the tool–chip interface. Int J Mech Sci 43(1):57–88

    Article  Google Scholar 

  58. Komanduri R, Hou ZB (2001) Thermal modeling of the metal cutting process—part III: temperature rise distribution due to the combined effects of shear plane heat source and the tool–chip interface frictional heat source. Int J Mech Sci 43(1):89–107

    Article  Google Scholar 

  59. Pan Z, Feng Y, Ji X, Liang SY (2017) Turning induced residual stress prediction of aisi 4130 considering dynamic recrystallization. Mach Sci Technol 9:1–15

    Google Scholar 

  60. Drucker DC, Palgen L (1981) On stress–strain relations suitable for cyclic and other loading. J Appl Mech 48(3):479–485

    Article  Google Scholar 

  61. Jiang Y, Sehitoglu H (1994) An analytical approach to elastic–plastic stress analysis of rolling contact. J Tribol 116(3):577–587

    Article  Google Scholar 

  62. Mcdowell DL, Moyar GJ (1986) A more realistic model of nonlinear material response: application to elastic–plastic rolling contact. Contact Mech Wear Rail/Whell Syst 144(2):8–11

    Google Scholar 

  63. Arrazola PJ, Ozel T, Umbrello D, Davies M, Jawahir IS (2013) Recent advances in modelling of metal machining processes. CIRP Ann Manuf Technol 62(2):695–718

    Article  Google Scholar 

  64. Sasahara H, Obikawa T, Shirakashi T (1996) FEM analysis of cutting sequence effect on mechanical characteristics in machined layer. J Mater Process Technol 62(4):448–453

    Article  Google Scholar 

  65. Guo YB, Liu CR (2002) FEM analysis of mechanical state on sequentially machined surfaces. Mach Sci Technol 6(1):21–41

    Article  Google Scholar 

  66. Chen L, El-Wardany TI, Harris WC (2004) Modelling the effects of flank wear land and chip formation on residual stresses. CIRP Ann Manuf Technol 53(1):95–98

    Article  Google Scholar 

  67. Umbrello D (2008) Finite element simulation of conventional and high speed machining of Ti6Al4V alloy. J Mater Process Technol 196(1–3):79–87

    Article  CAS  Google Scholar 

  68. Sasahara H, Obikawa T, Shirakashi T (2004) Prediction model of surface residual stress within a machined surface by combining two orthogonal plane models. Int J Mach Tools Manuf 44(7):815–822

    Article  Google Scholar 

  69. Ee KC, Jr OWD, Jawahir IS (2005) Finite element modeling of residual stresses in machining induced by cutting using a tool with finite edge radius. Int J Mech Sci 47(10):1611–1628

    Article  Google Scholar 

  70. Ozel T, Zeren E (2005) Finite element modeling of stresses induced by high speed machining with round edge cutting tools. In: Imece’05, 2005 ASME international mechanical engineering congress and exposition, paper no. 81046, Orlando, Florida, November, pp 1279–1287

  71. Ozel T, Zeren E (2007) Finite element modeling the influence of edge roundness on the stress and temperature fields induced by high-speed machining. Int J Adv Manuf Technol 35(3–4):255–267

    Article  Google Scholar 

  72. Hua J, Umbrello D, Shivpuri R (2006) Investigation of cutting conditions and cutting edge preparations for enhanced compressive subsurface residual stress in the hard turning of bearing steel. J Mater Process Tech 171(2):180–187

    Article  CAS  Google Scholar 

  73. Nasr MNA, Ng EG, Elbestawi MA (2007) Modelling the effects of tool-edge radius on residual stresses when orthogonal cutting AISI 316L. Int J Mach Tools Manuf 47(2):401–411

    Article  Google Scholar 

  74. Outeiro JC, Umbrello D, M’Saoubi R (2006) Experimental and fem analysis of cutting sequence on residual stresses in machined layers of AISI 316L steel. Mater Sci Forum 524:179–184

    Article  Google Scholar 

  75. Nasr M, Ng EG, Elbestawi M (2007) Effects of workpiece thermal properties on machining-induced residual stresses—thermal softening and conductivity. Proc Inst Mech Eng B J Eng Manuf 221(9):1387–1400

    Article  Google Scholar 

  76. Umbrello D, M’Saoubi R, Outeiro JC (2007) The influence of Johnson–Cook material constants on finite element simulation of machining of AISI 316L steel. Int J Mach Tools Manuf 47(3–4):462–470

    Article  Google Scholar 

  77. Chen L, El-Wardany TI, Nasr M, Elbestawi MA (2006) Effects of edge preparation and feed when hard turning a hot work die steel with polycrystalline cubic boron nitride tools. CIRP Ann Manuf Technol 55(1):89–92

    Article  Google Scholar 

  78. Umbrello D, Ambrogio G, Filice L, Shivpuri R (2008) A hybrid finite element method–artificial neural network approach for predicting residual stresses and the optimal cutting conditions during hard turning of AISI 52100 bearing steel. Mater Des 29(4):873–883

    Article  CAS  Google Scholar 

  79. Valiorgue F, Rech J, Hamdi H, Gilles P, Bergheau JM (2007) A new approach for the modelling of residual stresses induced by turning of 316L. J Mater Process Technol 191(1–3):270–273

    Article  CAS  Google Scholar 

  80. Torrano I, Barbero O, Kortabarria A, Arrazola PJ (2011) Prediction of residual stresses in turning of Inconel 718. Adv Mater Res 223:421–430

    Article  Google Scholar 

  81. Jiang X, Li B, Yang J, Zuo XY, Li K (2013) An approach for analyzing and controlling residual stress generation during high-speed circular milling. Int J Adv Manuf Technol 66(9–12):1439–1448

    Article  Google Scholar 

  82. Li B, Jiang X, Yang J, Liang SY (2015) Effects of depth of cut on the redistribution of residual stress and distortion during the milling of thin-walled part. J Mater Process Tech 216:223–233

    Article  Google Scholar 

  83. Yang D, Liu Z, Ren X, Zhuang P (2016) Hybrid modeling with finite element and statistical methods for residual stress prediction in peripheral milling of titanium alloy Ti–6Al–4V. Int J Mech Sci 108–109:29–38

    Article  Google Scholar 

  84. Saoubi RM, Outeiro J, Changeux B, Lebrun J, Dias AM (1999) Residual stress analysis in orthogonal machining of standard and resulfurized AISI 316L steels. J Mater Process Technol 96(1–3):225–233

    Google Scholar 

  85. Wan M, Dang X-B, Zhang W-H, Yang Y (2018) Optimization and improvement of stable processing condition by attaching additional masses for milling of thin-walled workpiece. Mech Syst Signal Process 103:196–215

    Article  Google Scholar 

  86. Feng J, Wan M, Gao T-Q, Zhang W-H (2018) Mechanism of process dam** in milling of thin-walled workpiece. Int J Mach Tools Manuf 134:1–19

    Article  Google Scholar 

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Acknowledgements

This research has been supported by the National Natural Science Foundation of China under Grant Nos. 51675440 and 11620101002, National Key Research and Development Program of China under Grant No. 2017YFB1102800, and the Fundamental Research Funds for the Central Universities under Grant No. 3102018gxc025.

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Wan, M., Ye, XY., Wen, DY. et al. Modeling of machining-induced residual stresses. J Mater Sci 54, 1–35 (2019). https://doi.org/10.1007/s10853-018-2808-0

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