Interpretation of the behavior of metals under large plastic shear deformations: A macroscopic approach

International Journal of Plasticity

Volumn 13, Issue 4, 1997, Pages 359-383

  Kuroda, M ^a  

^a ASHIKAGA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

B. anisotropic material; Elastic viscoplastic material; Finite strain; Metallic material

Indexed keywords

ANISOTROPY; MATHEMATICAL MODELS; PLASTIC DEFORMATION; SHEAR DEFORMATION; SIMULATION; STRAIN; VISCOPLASTICITY;

FINITE STRAIN; MACROSCOPY; PLASTIC SPIN;

METALS;

EID: 0030653023     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(97)80004-6     Document Type: Article

References (39)

1. Anand, L. and Kalidindi, S. R. (1994) The process of shear band formation in plane strain compression of FCC metals: effects of crystallographic texture. Mech. Materials 17, 223.
2. Asaro, R. J. (1983) Crystal plasticity. ASME J. Appl. Mech. 50, 921.
3. Becker, R. and Needleman, A. (1986) Effect of yield surface curvature on necking and failure in porous plastic solids. ASME J. Appl. Mech. 53, 491.
4. Besseling, J.F. and van der Giessen, E. (1993) Mathematical Modelling of Inelastic Deformation. Chapman & Hall, London.
5. Cho, H. W. and Dafalias, Y. F. (1996) Distortional and orientational hardening at large viscoplastic deformations. Int. J. Plasticity, 12, 903.
6. Dafalias, Y. F. (1983) Corotational rates for kinematic hardening at large plastic deformations. ASME J. Appl. Mech. 50, 561.
7. Dafalias, Y. F. (1985a) The plastic spin. ASME J. Appl. Mech. 52, 865.
8. Dafalias, Y. F. (1985b) A missing link in the macroscopic constitutive formulation of large plastic deformation, In Plasticity Today, Modelling, Methods and Applications, eds A. Sawczuk and G. Bianchi, pp. 135-151. Elsevier Appl. Sci., New York.
9. Dafalias, Y. F. (1990) The plastic spin in viscoplasticity. Int. J. Solids Struct. 26, 149.
10. Dafalias, Y. F. (1992) On constitutive spins at large inelastic deformations. In Finite Inelastic Deformations -Theory and Applications, IUTAM Symposium Hannover, Germany, 1991, eds D. Besdo and E. Stein, pp. 27-36. Springer, Berlin.
11. Dafalias, Y. F. (1993) On multiple spins and texture development. Case study: kinematic and orthotropic hardening. Acta Mech. 100, 171.
12. Dafalias, Y. F. and Cho, H. W. (1989) Verification of the plastic spin concept in viscoplasticity. In Advances in Plasticity 1989, 2nd Symp. on Plasticity and its Current Applications (Mie, Japan), eds A. S. Khan and M. Tokuda, pp. 287-290. Pergamon, New York.
13. Dafalias, Y. F. and Rashid, M. M. (1989) The effect of plastic spin on anisotropic material behavior. Int. J. Plasticity 5, 227.
14. Hill, R. (1950) The Mathematical Theory of Plasticity. Oxford University Press, Oxford.
15. Hill, R. (1978) Aspects of invariance in solid mechanics. Adv. Appl. Mech. 18, 1.
16. Kuroda, M. (1994) Finite element simulations of large elasto-plastic deformation with different spin tensors. Mech. Res. Comm. 21, 517.
17. Kuroda, M. (1995) Plastic spin associated with a corner theory of plasticity. Int. J. Plasticity 11, 547.
18. Kuroda, M. (1996) Roles of plastic spin in shear banding. Int. J. Plasticity 12, 671.
19. Lee, H., Im, S. and Atluri, S. N. (1995) Strain localization in an orthotropic material with plastic spin. Int. J. Plasticity 11, 423.
20. Majors, P. and Krempl, E. (1994) Comments on induced anisotropy, the Swift effect, and finite deformation inelasticity. Mech. Res. Comm. 21, 465.
21. Mandel, J. (1971) Plasticité Classique et Viscoplasticité, ICSM Courses and Lectures, 97. Springer, New York.
22. Miller, M. P., McDowell, D. L., Lee, Y. K. and Bammann, D. J. (1993) Anisotropy and path dependence in finite deformation shear and sequential compression/shear. In Advance in Engineering Plasticity and its Applications, ed. W. B., Lee, pp. 203-210. Elsevier, Amsterdam.
23. Miller, M. P. and McDowell, D. L. (1996) The effect of stress-state on the large strain inelastic deformation behavior of 304L stainless steel. ASME J. Engng Mat. Technol. 118, 28.
24. Montheillet, F., Cohen, M. and Jonas, J. J. (1984) Axial stresses and texture development during the torsion testing of Al, Cu and α-Fe. Acta Metall. 32, 2077.
25. Montheillet, F., Gilormini, P. and Jonas, J. J. (1985) Relation between axial stresses and texture development during torsion testing: a simplified theory. Acta Metall. 33, 705.
26. Nagtegaal, J. C. and de Jong, J. E. (1982) Some aspects of anisotropic work hardening in finite strain plasticity. In Proceedings of Workshop on Plasticity of Metals at Finite Strain, eds E. H. Lee and R. L. Mallett, p. 65. Division of Applied Mechanics, Stanford University, Stanford.
27. Neale, K. W. and Shrivastava, S. C. (1990) Analytical solutions for circular bars subjected to large strain plastic torsion. ASME J. Appl. Mech. 57, 298.
28. Nishiguchi, I., Sham, T.-L. and Krempl, K. (1990) A finite deformation theory of viscoplasticity based on overstress: Part II - finite element implementation and numerical experiments. ASME J. Appl. Mech. 57, 553.
29. Paulun, J. E. and Pecherski, R. B. (1992) On the relation for plastic spin. Arch. Appl. Mech. 62, 376.
30. Peirce, D., Shih, C. F. and Needleman, A. (1984) A tangent modulus method for rate dependent solids. Comput. Struct. 18, 875.
31. Shrivastava, S. C., Jonas, J. J. and Canova, G. (1982) Equivalent strain in large deformation torsion testing: theoretical and practical considerations. J. Mach. Phys. Solids 30, 75.
32. Swift, H. W. (1947) Length changes in metals under torsional overstrain. Engineering 163, 253.
33. van der Giessen, E., Wu, P. D. and Neale, K. W. (1992) On the effect of plastic spin on large strain elastic-plastic torsion of solid bars. Int. J. Plasticity 8, 773.
34. Wang, C. C. (1970) A new representation theorem for isotropic functions: an answer to Professor G. F. Smith's criticism of my papers on representation theorem for isotropic functions, Part 1 and Part 2. Arch. Ration. Mech. Anal. 36, 166.
35. White, C. S. (1993) Reverse torsion testing for material modeling. J. Mech. Behavior Mater. 4, 191.
36. Zbib, H. M. (1991) On the mechanics of large inelastic deformations: noncoaxiality, axial effects in torsion and localization. Acta Mech. 87, 179.
37. Zbib, H. M. (1993) On the mechanics of large inelastic deformations: kinematics and constitutive modeling. Acta Mech. 96, 119.
38. Zbib, H. M. and Aifantis, E. C. (1988a) On the concept of relative and plastic spin and its implications to large deformation theories. Part I: hypoelasticity and vertex-type plasticity. Acta Mech. 75, 15.
39. Zbib, H. M. and Aifantis, E. C. (1988b) On the concept of relative and plastic spin and its implications to large deformation theories. Part II: anisotropic hardening plasticity. Acta Mech. 75, 35.