Incorporation of yield surface distortion in finite deformation constitutive modeling of rigid-plastic hardening materials based on the Hencky logarithmic strain

International Journal of Plasticity

Volumn 23, Issue 12, 2007, Pages 2029-2057

  Yeganeh, M ^a  

^a R and D group   (Iran)

Author keywords

Anisotropic material (B); Constitutive behaviour (B); Finite strain (B); Logarithmic strain

Indexed keywords

CONSTITUTIVE MODELS; HARDENING; PLASTICITY; RIGIDITY; STRAIN RATE; STRESS ANALYSIS;

ANISOTROPIC MATERIALS; CONSTITUTIVE BEHAVIOR; COROTATIONAL RATES; FINITE STRAIN; LOGARITHMIC STRAIN;

PLASTIC DEFORMATION;

EID: 34748910666     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.02.004     Document Type: Article

References (55)

1. Agah-Tehrani A., Lee E.H., Mallett R.L., and Onat E.T. The theory of elastic-plastic deformation at finite strain with induced anisotropy modeled as combined isotropic-kinematic hardening. J. Mech. Phys. Solids 35 (1987) 519-539
2. Aifantis E.C. The physics of plastic deformation. Int. J. Plast. 3 (1987) 211-247
3. Atluri S.N. On constitutive relations at finite strain: hypo-elasticity and elastoplasticity with isotropic or kinematic hardening. Comput. Methods Appl. Mech. Eng. 43 (1984) 137-171
4. Baltov A., and Sawczuk A. A rule of anisotropic hardening. Acta Mech. 1 (1965) 81-92
5. Barlat F., Aretz H., Yoon J.W., Karabin M.E., Brem J.C., and Dick R.E. Linear transformation-based anisotropic yield functions. Int. J. Plast. 21 (2005) 1009-1039
6. Boucher M., Cayla P., and Cordebois J.P. Experimental studies of yield surfaces of aluminium alloy and low carbon steel under complex biaxial loading. Eur. J. Mech. A Solids 14 (1995) 1-17
7. Bonet J., and Wood R.D. Nonlinear Continuum Mechanics for Finite Element Analysis (1997), Cambridge University Press
8. Bruhns O.T., Xiao H., and Meyers A. Self-consistent Eulerian rate type elastoplasticity models based upon the logarithmic stress rate. Int. J. Plast. 15 (1999) 479-520
9. Bruhns O.T., Xiao H., and Meyers A. A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage. Int. J. Solids Struct. 38 (2001) 657-683
10. Bruhns O.T., Xiao H., and Meyers A. Large simple shear and torsion problem in kinematic hardening elasto-plasticity with logarithmic rate. Int. J. Solids Struct. 38 (2001) 8701-8722
11. Bruhns O.T., Xiao H., and Meyers A. A weakened form of Ilyushin's postulate and the structure of self-consistent Eulerian finite elastoplasticity. Int. J. Plast. 21 (2005) 199-219
12. Cazacu O., Plunkett B., and Barlat F. Orthotropic yield criterion for hexagonal closed packed metals. Int. J. Plast. 22 (2006) 1171-1194
13. Cheng S., and Krempl E. Experimental determination of strain-induced anisotropy during nonproportional straining of an Al/Mg alloy at room temperature. Int. J. Plast. 7 (1991) 827-846
14. Cho H.W., and Dafalias Y.F. Distortional and orientational hardening at large viscoplastic deformation. Int. J. Plast. 12 (1996) 903-925
15. Dafalias Y.F. Corotational rates for kinematic hardening at large plastic deformation. J. Appl. Mech. 50 (1983) 561-565
16. Dafalias Y.F. The plastic spin. J. Appl. Mech. 52 (1985) 865-871
17. Dienes J.K. On the analysis of rotation and stress rate in deforming bodies. Acta Mech. 32 (1979) 217-232
18. Eisenberg M.A., and Yen C.F. The anisotropic deformation of yield surfaces. ASME J. Eng. Mater. Tech. 106 (1984) 355-360
19. François M. A plasticity model with yield surface distortion for non proportional loading. Int. J. Plast. 17 (2001) 703-717
20. Green A.E., and Naghdi P.M. A general theory of an elastic-plastic continuum. Arch. Rat. Anal. 18 (1965) 251-281
21. Gupta N.K., and Meyers A. An alternative formulation for interpolating experimental yield surfaces. Int. J. Plast. 10 (1994) 795-805
22. Hu W. An orthotropic yield criterion in a 3-D general stress state. Int. J. Plast. 21 (2005) 1771-1796
23. Ilyushin A.A. On the relation between stress and small deformation in the mechanics of continuous media. Prikl. Mat. Mekh. 18 (1954) 641-666 (in Russian)
24. Imatani S., and Inoue T. Material anisotropy induced by prior plastic deformation. In: Desai C.C., et al. (Ed). Constitutive Laws for Engineering Materials: Theory and Applications (1987), Elsevier Science, New York 573-580
25. Ishikawa H. Subsequent yield surface probed from its current center. Int. J. Plast. 13 (1997) 533-549
26. Khan A.S., and Haung S.J. Continuum Theory of Plasticity (1995), Wiley, New York
27. Khan A.S., and Wang X. An experimental study on subsequent yield surface after finite shear prestraining. Int. J. Plast. 9 (1993) 889
28. Kurtyka T., and Zyckowski M. A geometric description of distortional plastic hardening of deviatoric materials. Arch. Mech. 37 (1985) 383-395
29. Kurtyka T. Parameter identification of a distortional model of subsequent yield surfaces. Arch. Mech. 40 (1988) 433-454
30. Lee E.H., Mallett R.L., and Wertheimer T.B. Stress analysis for anisotropic hardening in finite deformation plasticity. J. Appl. Mech. 50 (1983) 554-560
31. Lehmann T. Eine Bemerkungen zu einer allgemeinen Klasse von Stoffgesetzen für große elastoplastische Formänderungen. Ing. Arch. 41 (1972) 297-310
32. Lensky V.S. Analysis of plastic behavior of metals under complex loading. In: Lee E.H., and Symonds P.S. (Eds). Plasticity, Proceedings of 2nd Symposium on Naval Structural Methods (1960), Brown University, Rhode Island 259-278
33. Nagtegaal J.C., and de Jong J.E. Some aspects of non-isotropic work-hardening in finite strain plasticity. Proceeding of the Workshop on Plasticity of Metals at Finite Strain: Theory, Experimental and Computation (1981), Stanford University 65-102
34. Naghdabadi R., Yeganeh M., and Saidi A.R. Application of corotational rates of the logarithmic strain in constitutive modeling of hardening materials at finite deformations. Int. J. Plast. 21 (2005) 1546-1567
35. Nouailhas D., Chaboche J.L., Savalle S., and Cailletaud G. On the constitutive equations for cyclic plasticity under nonproportional loading. Int. J. Plast. 1 (1985) 317-330
36. Phillips A., Tang J.L., and Rucciuti M. Some new observations on yield surface. Acta Mech. 20 (1974) 23
37. Phillips A., and Weng G.J. An analysis study of an experimentally verified hardening law. J. Appl. Mech. 42 (1975) 375-378
38. Rees D.W.A. An examination of yield surface distortion and translation. Acta Mech. 52 (1984) 15
39. Reinhardt W., and Dubey R.N. Application of objective rates in mechanical modeling of solids. ASME J. Appl. Mech. 118 (1996) 692-698
40. Skrezypek J.J. Plasticity and Creep (1993), CRC Press p. 108
41. Suprun A.N. A constitutive model with three plastic constants: the description of anisotropic workhardening. Int. J. Plast. 22 (2006) 1217-1233
42. Swerby R., and Chu E. Rotations stress rates and strain measures in homogeneous deformation processes. Int. J. Solids Struct. 20 (1984) 1037-1048
43. Szabo L., and Balla M. Comparison of some stress rates. Int. J. Solids Struct. 25 (1989) 279-297
44. Tugcu P., Wu P.D., and Neale K.W. Finite strain analysis of simple shear using recent anisotropic yield criteria. Int. J. Plast. 15 (1999) 939-962
45. Tugcu P., Wu P.D., and Neale K.W. On the predictive capabilities of anisotropic yield criterion for metals undergoing shearing deformations. Int. J. Plast. 18 (2002) 1219-1236
46. Wu H.C., and Yeh W.C. On the experimental determination of yield surfaces and some results of annealed 304 stainless steel. Int. J. Plast. 7 (1991) 803-826
47. Wu H.C., Hong H.K., and Lu J.K. An endochronic theory accounted for deformation induced anisotropy. Int. J. Plast. 11 (1995) 145-162
48. Wu H.C. Effect of loading-path on the evolution of yield surface for anisotropic metals subjected to large pre-strain. Int. J. Plast. 19 (2003) 1773-1800
49. Xiao H., Bruhns O.T., and Meyers A. Logarithmic strain, logarithmic spin and logarithmic rate. Acta Mech. 124 (1997) 89-105
50. Xiao H., Bruhns O.T., and Meyers A. A consistent finite elastoplasticity theory combined additive and multiplicative decomposition of the stretching and the deformation gradient. Int. J. Plast. 16 (2000) 143-177
51. Xiao H., Bruhns O.T., and Meyers A. Large strain responses of elastic-perfect plasticity and kinematic hardening plasticity with the logarithmic rates: swift effect in torsion. Int. J. Plast. 17 (2001) 211-235
52. Yeganeh M., and Naghdabadi R. Axial effects investigation of fixed-end circular bars under torsion with a finite deformation model based on logarithmic strain. Int. J. Mech. Sci. 48 (2006) 75-84
53. Yeh W.C., and Lin H.Y. An endochronic model of yield surface accounting for deformation induced anisotropy. Int. J. Plast. 22 (2006) 16-38
54. Yoon J.W., Barlat F., Gracio J.J., and Rauch E. Anisotropic strain hardening behavior in simple shear for cube textured aluminum alloy sheets. Int. J. Plast. 21 (2005) 2426-2447
55. Yoshimura Y., and Takenaka Y. Stress history effects in plastic deformation of metals. In: Reiner M., and Abiv D. (Eds). Second-order Effects in Elasticity, Plasticity and Fluid Dynamics (1964), Pergamon 729