An endochronic model of yield surface accounting for deformation induced anisotropy

International Journal of Plasticity

Volumn 22, Issue 1, 2006, Pages 16-38

  Yeh, Wei Ching ^a   Lin, Hsi Yen ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

Aspect ratio function; Deformation induced anisotropy; Endochronic theory; Yield surface

Indexed keywords

ANISOTROPY; ASPECT RATIO; CHARACTERIZATION; DEFORMATION; MATHEMATICAL MODELS; STRAIN; TORSIONAL STRESS;

ASPECT RATIO FUNCTION; DEFORMATION INDUCED ANISOTROPY; ENDOCHRONIC THEORY; YIELD SURFACE;

SURFACE PROPERTIES;

EID: 24044485607     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2005.01.004     Document Type: Article

References (69)

1. A. Baltov, and A. Sawczuk A rule of anisotropic hardening Acta Mech. 1 1965 81 92
2. F. Barlat, R.C. Becker, Y. Hayashida, Y. Maeda, M. Yanagawa, K. Chung, J.C. Brem, D.J. Lege, K. Matsui, S.J. Murtha, and S. Hattori Yielding description for solution strengthened aluminum alloys Int. J. Plasticity 13 1997 385 401
3. F. Barlat, J.C. Brem, J.W. Yoon, K. Chung, R.E. Dick, D.J. Lege, F. Pourboghrat, S.-H. Choi, and E. Chu Plane stress yield stress function for aluminum alloy sheets-part I: theory Int. J. Plasticity 19 2003 1297 1319
4. F. Barlat, H. Aretz, J.W. Yoon, M.E. Karabin, J.C. Brem, and R.E. Dick Linear transfomation-based anisotropic yield functions Int. J. Plasticity 21 2005 1009 1039
5. A.J. Beaudoin, P.R. Dawson, K.K. Mathur, U.F. Kocks, and D.A. Korzekwa Application of polycrystalline plasticity to sheet forming Comp. Math. Appl. Mech. Eng. 117 1991 49 70
6. F. Bron, and J. Besson A yield function for anisotropic materials application to aluminum alloys Int. J. Plasticity 20 2004 937 963
7. A.A. Brown, Casey J, and D.J. Nikkel Jr. Experimental conducted in the contest of the strain-space formulation of plasticity Int. J. Plasticity 19 2003 1965 2005
8. A. Bucher, U.J. Gorke, and R. Kreißig A material model for finite elasto-plastic deformations considering a substructure Int. J. Plasticity 20 2004 619 642
9. O. Cazacu, Barlet, and F A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals Int. J. Plasticity 20 2004 2027 2045
10. S. Cheng, and E. Krempl Experimental determination of strain-induced anisotropy during non-proportional straining of an Al/Mg alloy at room temperature Int. J. Plasticity 7 1991 827 846
11. D.Y. Chiang, K.H. Su, and Liao C.H A study on subsequent yield surface based on the distributed-element model Int. J. Plasticity 18 2002 51 70
12. K. Chung, M.G. Lee, D. Kim, C. Kim, L. Michael, and W.F. Barlat Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions: Part I: theory and formulation Int. J. Plasticity 21 2005 861 882
13. Y.F. Dafalias, and E.C. Aifantis On the microscopic origin of the plastic spin Acta Mech. 82 1990 31 48
14. Y.F. Dafalias, and E.P. Popov Plastic internal variables formalism of plasticity J. Appl. Mech. 43 1976 645 651
15. O. Diard, S. Leclercq, G. Rousselier, and G. Cailletaud Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity: Application to crystal plasticity model identification and the study of stress and strain fields near grain boundaries Int. J. Plasticity 21 2005 691 722
16. M.A. Eisenberg, and C.F. Yen The anisotropic deformation of yield surfaces J. Eng. Mat. Tech. 10 1984 431 449
17. J.R. Ellis, D.N. Robinson, and C.E. Pugh Time dependence in biaxial yield of type 316 stainless steel at room temperature J. Eng. Mat. Tech. 105 1983 250 256
18. G. Ferron, R. Makkouk, and J. Morreale A parametric description of orthotropic plasticity in metal sheets Int. J. Plasticity 17 1994 703 717
19. M. Francois A plasticity model with yield surface distortion for non proportional loading Int. J. Plasticity 8 2001 729 740
20. S. Ganapathysubramanian, and N. Zabaras Modeling the thermoelastic-viscoplastic response of polycrystals using a continuum representation over the orientation space Int. J. Plasticity 21 2005 119 144
21. D.E. Helling, A.K. Miller, and M.G. Stout An experimental investigation of the yield loci of 1100-O aluminum, 70:30 brass, and an overaged 2024 aluminum alloy after various prestrains J. Eng. Mat. Tech. 108 1986 313 320
22. R. Hill A theory of yielding and plastic flow of anisotropic metals Proc. Roy. Soc. of London A 193 1948 281 297
23. W.L. Hu An orthotropic yield criterion in a 3-D general stress state Int. J. Plasticity 21 2005 1771 1796
24. A.A. Ilyushin On the relation between stress and small deformation in the mechanics of continuous media Prikl. Mat. Mekh. 18 1954 641 666 (in Russian)
25. H. Ishikawa Subsequent yield surface probed from its current center Int. J. Plasticity 13 6-7 1997 533 550
26. H. Ishikawa, and K. Sasaki Deformation induced anisotropy and memorized back stress in constitutive model Int. J. Plasticity 14 7 1998 627 646
27. H.J. Ivey Plastic stress-strain relation and yield surfaces for aluminum alloys J. Mech. Eng. Sci. 3 1961 15 31
28. A.S. Khan, and P. Cheng An anisotropic elastic-plastic constitutive model for single and polycrystalline metals I- theoretical developments Int. J. Plasticity 12 1996 147 162
29. A.S. Khan, and X. Wang An experimental study on subsequent yield surface after finite shear prestraining Int. J. Plasticity 9 1993 889 905
30. A.R. Khoei, and N. Jamali On the implementation of a multi-surface kinematic hardening plasticity and its applications Int. J. Plasticity 21 2005 1741 1770
31. J.B. Kim, D.Y. Yang, J.W. Yoon, and F. Barlat The effect of plastic anisotropy on compressive instability in sheet metal forming Int. J. Plasticity 16 2000 649 676
32. K. Kowalczyk, and W. Gambin Model of plastic anisotropy evolution with texture-dependent yield surface Int. J. Plasticity 20 2004 19 54
33. U. Kowalsky, H. Ahrens, and D. Dinkler Distorted yield surfaces-modeling by higher order anisotropic hardening tensors Computational Mater. Sci. 16 1999 81 88
34. R.D. Krieg A practical two surface plasticity theory J Appl. Mech. 42 1975 641 646
35. T. Kurtyka Parameter identification of a distortional model of subsequent yield surfaces Arch. Mech. 40 1988 433 454
36. T. Kurtyka, and M. Zyczkowski A geometric description of distortional plastic materials Arch. Mech. 37 1985 383 395
37. T. Kurtyka, and M. Zyczkowski Evolution equations for distortional plastic hardening Int. J. Plasticity 12 1996 191 213
38. T. Kuwabara, K. Yoshida, K. Narihara, and S. Takahashi Anisotropic plastic deformation of extruded aluminum alloy tube under axial forces and internal pressure Int. J. Plasticity 21 2005 101 177
39. S. Kyriakides, E. Corona, and J.E. Miller Effect of yield surface evolution on bending induced cross sectional deformation of thin walled sections Int. J. Plasticity 20 2004 607 618
40. D. Lee, and F. Zavrel Jr. A generalized strain rate dependent constitutive equation for anisotropic metals Acta Metallurgy 26 1978 1771 1780
41. V.S. Lensky Analysis of plastic behavior of metals under complex loading E.H. Lee P.S. Symonds Plasticity, proceedings of the second symp. naval struc. mech. 1960 Brown University 259 278
42. C. Miehe, J, and J. Schroder Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains Computational Mater. Sci. 16 1999 372 382
43. Z. Mroz On the description of anistropic work-hardening J. Mech. Phys. Solids 15 1967 163 175
44. J. Ning, and E.C. Aifantis Anisotropic yield and plastic flow of polycrystalline solids Int. J. Plasticity 12 1996 1221 1240
45. Y. Ohashi, K. kawashima, and M. Yokochi Anisotropy due to plastic deformation of initially isotropic mild steel and its analytical formulation J. Mech. Phys. Solids 23 1975 277 294
46. A. Phillips, and W.Y. Lu An experimental investigation of yield surfaces and loading surface of pure aluminum with stress-controlled and strain-controlled paths of loading J. Eng. Mat. Tech. 106 1984 349 354
47. A. Phillips, and J.L. Tang The effect of loading path on the yield surface at elevated temperatures Int. J. Solids Struct. 8 1972 463 474
48. A. Phillips, and G.J. Weng An analysis study of an experimentally verified hardening law J. Appl. Mech. 42 1975 375 378
49. A. Phillips, J.L. Tang, and M. Riccuti Some new observation on yield surfaces Acta Mech. 20 1974 23 39
50. D. Raabe Yield surface simulation for partially rescrystallized aluminum polycrystals on the basis of spatially discrete data Computational Mater. Sci. 19 2000 13 26
51. E. Shiratori, K. Ikegami, and F. Yoshida Analysis of stress-strain relations by use of an anisotropic hardening plastic potential J. Mech. Phys. Solids 27 1979 213 229
52. T.B. Stoughton, and J.W. Yoon A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming Int. J. Plasticity 20 2004 705 731
53. M.G. Stout, P.L. Martin, D.E. Helling, and G.R. Canova Multiaxial yield behavior of 1100 aluminum following various magnitudes of prestrain Int. J. Plasticity 1 1985 163 174
54. K.C. Valanis A theory of viscoplasticity without a yield surface, Part I: General theory Arch. Mech. 23 1971 517 551
55. K.C. Valanis Fundamental consequence of a new intrinsic time measure-plasticity as a limit of the endochronic theory Arch. Mech. 32 1980 171 191
56. L. Vincent, S. Calloch, and D. Marquis A general cyclic plasticity model taking into account yield surface distortion for multiaxial ratcheting, Int J. Plasticity 20 2004 1817 1850
57. J.F. Williams, and N.L. Svensson Effect of tensile prestrain on the yield locus of 1100-F aluminum J. Strain Anal. 5 1970 128 139
58. J.F. Williams, and N.L. Svensson Effect of torsionnal prestrain on the yield locus of 1100-F aluminum J. Strain Anal. 6 1971 263 272
59. H.C. Wu, and R.J. Yang Application of the improved endochronic theory of plasticity to loading with multi-axial strain path Int. J.of Nonlinear Mech. 20 5 1983 395 408
60. H.C. Wu, and W.C. Yeh Some consideration in the endochronic description of anisotropic hardening Acta Mech. 69 1987 59 76
61. H.C. Wu, and W.C. Yeh On the experimental determination of yield surfaces and some results of annealed 304 stainless steel Int. J. Plasticity 7 1991 803 826
62. H.C. Wu, and M.C. Yip Strain-rate and Strain-rate history effects on the dynamic behavior of metallic materials Int. J. Solids Struct. 16 1980 515 536
63. H.C. Wu, and M.C. Yip Endochronic description of cyclic hardening behavior of metallic material J. Eng. Mat. Tech. 103 1981 212 217
64. H.C. Wu, J.C. Yao, and S.C. Chu Investigation of endochronic constitutive equations subjected to plastic-strain controlled axial-torsional deformation J. Eng. Mat. Tech. 108 1986 262 269
65. H.C. Wu, H.K. Hong, and J.K. Lu An endochronic theory accounted for deformation induced anisotropy Int. J. Plasticity 11 1995 145 162
66. H.C. Wu, H.K. Hong, and Y.P. Shiao Anisotropic plasticity with application to sheet metals Int. J. Mech. Sci. 41 1999 703 724
67. P.D. Wu, S.R. MacEwen, D.J. Lloyd, M. Jain, P. Tugcu, and K.W. Neale On pre-straining and the evolution of material anisotropy in sheet metals Int. J. Plasticity 21 2005 723 739
68. Yeh, W.C., 1988. Investigation of deformation induced anisotropic strain hardening of metals. Ph.D. Dissertation, Department of Mechanical Engineering, The University of Iowa.
69. W.C. Yeh, C.D. Ho, and W.F. Pan An endochronic theory accounting for deformation induced anisotropy Int. J. Plasticity 12 1996 987 1004