Multi-mechanism models for the description of ratchetting: Effect of the scale transition rule and of the coupling between hardening variables

International Journal of Plasticity

Volumn 23, Issue 9, 2007, Pages 1589-1617

  Sai, K ^a   Cailletaud, G ^b  

^a UNIVERSITY OF SFAX   (Tunisia)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

Additional hardening; Multi mechanism modeling; Nonproportional loading; Ratchetting behavior

Indexed keywords

AUSTENITIC STAINLESS STEEL; HARDENING; KINEMATICS; PHASE TRANSITIONS; PLASTICITY;

ADDITIONAL HARDENING; MULTI-MECHANISM MODELING; NONPROPORTIONAL LOADING; RATCHETTING BEHAVIOR;

MATHEMATICAL MODELS;

EID: 34248659145     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.01.011     Document Type: Article

References (68)

1. Abdel-Karim M. Numerical integration method for kinematic hardening rules with partial activation of dynamic recovery term. Int. J. Plasticity 21 (2005) 1303-1321
2. Abdel-Karim M., and Ohno N. Kinematic hardening model suitable for ratchetting with steady-state. Int. J. Plasticity 16 (2000) 225-240
3. Armstrong, P., Frederick, C., 1966. A mathematical representation of the multiaxial Baushinger effect. In: G.E.C.B. Report RD/B/N 731.
4. Bari S., and Hassan T. Anatomy of coupled constitutive models for ratchetting simulation. Int. J. Plasticity 16 (2000) 381-409
5. Bari S., and Hassan T. Kinematic hardening rules in uncoupled modeling for multiaxial ratchetting simulation. Int. J. Plasticity 17 (2001) 885-905
6. Bari S., and Hassan T. An advancement in cyclic plasticity modeling for multiaxial ratchetting simulation. Int. J. Plasticity 18 (2002) 873-894
7. Basuroychowdhury I.N., and Voyiadjis G.Z. A multiaxial cyclic plasticity model for non-proportional loading cases. Int. J. Plasticity 14 (1998) 855-870
8. Benallal A., and Marquis D. Constitutive equations for nonproportional cyclic elasto-viscoplasticity. ASME J. Engng. Mater. Techol. 109 (1987) 326-336
9. Berveiller M., and Zaoui A. An extension of the self-consistent scheme to plastically-flowing polycrystals. J. Mech. Phys. Solids 26 (1979) 325-344
10. Besson J., Leriche R., Foerch R., and Cailletaud G. Object-oriented programming applied to the finite element method. Part II. application to material behaviors. Revue Européenne des Eléments finis 7 (1998) 567-588
11. Bocher L., Delobelle P., Robinet P., and Feaugas X. Mechanical and microstructural investigations of an austenitic stainless steel under non-proportional loadings in tension-torsion-internal and external pressure. Int. J. Plasticity 17 (2001) 1491-1530
12. Burlet H., and Cailletaud G. Modelling of cyclic plasticity in finite element codes. Proceedings of Second International Conference on Constitutive laws for Engineering Materials (1987), Elsevier, New York 1157-1164
13. Cailletaud, G., 1987. Une approche micromécanique phénoménologique du comportement inélastique des métaux. Ph.D. thesis, Université Pierre et Marie Curie, Paris 6.
14. Cailletaud G. A micromechanical approach to inelastic behaviour of metals. Int. J. Plasticity 8 (1992) 55-73
15. Cailletaud G., and Pilvin P. Utilisation de modèles polycristallins pour le calcul par éléments finis. Revue Européenne des Eléments Finis 3 (1994) 515-541
16. Cailletaud G., and Sai K. Study of plastic/viscoplastic models with various inelastic mechanisms. Int. J. Plasticity 11 (1995) 991-1005
17. Cailletaud G., Kaczmarek H., and Policella H. Some elements on multiaxial behavior of 316 stainless steel at room temperature. Mech. Mat. 3 (1984) 333-347
18. Chaboche J.L. Time-independent constitutive theories for cyclic plasticity. Int. J. Plasticity 2 (1986) 149-188
19. Chaboche J.L., and Jung O. Application of a kinematic hardening viscoplasticity model with threshold to the residual stress relaxation. Int. J. Plasticity 13 (1997) 785-807
20. Chaboche J.L., and Rousselier G. On the plastic and viscoplastic constitutive equations, Part (I and II). ASME J. Press. Vess. Tech. 105 (1983) 153-164
21. Chaboche J.L., Nouailhas D., Pacou D., and Paulmier P. Modeling of the cyclic response and ratchetting effect on inconel 718 alloy. Eur. J. Mech. Solids 10 (1991) 101-121
22. Contesti E., and Cailletaud G. Description of creep plasticity interaction with non-unified constitutive equations: application to an austenitic stainless steel. Nuclear Eng. Design 116 (1989) 265-280
23. Dafalias Y., and Popov E. Plastic internal variables formalism of cyclic plasticity. ASME J. Appl. Mech. 43 (1976) 645-651
24. Delobelle P., Robinet P., and Bocher L. Experimental study and phenomenological modelization of ratchet under uniaxial and biaxial loading on an austenitic stainless steel. Int. J. Plasticity 11 (1995) 295-330
25. Feaugas X., and Gaudin C. Ratchetting process in the stainless steel AISI 316L at 300 K: an experimental investigation. Int. J. Plasticity 20 (2004) 643-662
26. Gambin B., and Kröner E. Convergence problems in the theory of random elastic media. Int. J. Engng. Sci. 19 (1981) 313-318
27. Gautier, E., Cailletaud, C., 2004. N-phase modeling applied to phase transformations in steels: a coupled kinetics-mechanics approach. In: ICHMM-2004 International Conference on Heterogeneous Material Mechanics. Chongqing (China).
28. Germain P., Nguyen Q., and Suquet P. Continuum thermodynamics. J. Appl. Mech. 50 (1983) 1010-1020
29. Halphen B., and Nguyen Q. Sur les matériaux standards généralisés. J. Mécanique 14 (1975) 39-63
30. Hassan T., and Kyriakides S. Ratchetting of cyclically hardening and softening materials, Part I uniaxial behavior. Int. J. Plasticity 10 (1994) 149-184
31. Hassan T., and Kyriakides S. Ratchetting of cyclically hardening and softening materials, Part II multiaxial behavior. Int. J. Plasticity 10 (1994) 185-212
32. Hassan T., Corona E., and Kyriakides S. Ratchetting in cyclic plasticity, Part II: Multiaxial behavior. Int. J. Plasticity 8 (1992) 117-146
33. Hassan T., and Kyriakides S. Ratchetting in cyclic plasticity, Part I: Uniaxial behavior. Int. J. Plasticity 8 (1992) 91-116
34. Hill R. Continuum micro-mechanisms of elastoplastic polycrystals. J. Mech. Phys. Solids 13 (1965) 89-101
35. Jiang Y., and Kurath P. Characteristics of the Armstrong-Frederick type plasticity models. Int. J. Plasticity 12 (1996) 387-415
36. Jiang Y., and Sehitoglu H. Cyclic ratchetting of 1070 steel under multiaxial stress states. Int. J. Plasticity 10 (1994) 579-608
37. Jiang Y., and Sehitoglu H. Multiaxial cyclic ratchetting under multiple step loading. Int. J. Plasticity 8 (1994) 849-870
38. Kang G.Z., Gao Q., and Yang X. Uniaxial cyclic ratchetting and plastic flow properties of SS304 stainless steel at room and elevated temperatures. Mech. Mat. 34 (2002) 145-159
39. Kang G.Z., Kan Q.H., Zhang J., and Sun Y. Time-dependent ratchetting experiments of SS304 stainless steel. Int. J. Plasticity 22 (2006) 858-894
40. Khabou T., Castex L., and Inglebert G. The effect of material behavior law on the theoretical shot peening results. Eur. J. Mech. A/Solids 9 (1990) 537-549
41. Krieg R. A practical two-surface plasticity theory. Tans. ASME 42 (1975) 641-646
42. Kröner E. Zur plastischen Verformung des Vielkristalls. Acta Metall. 9 (1961) 155-161
43. Lamba H., and Sidebottom O. Cyclic plasticity for nonproportional paths, Parts I and II. ASME J. Engng. Mater. Techol. 100 (1978) 96-111
44. McDowell D.L. Stress state dependence of cyclic ratchetting behavior of two rail steels. Int. J. Plasticity 11 (1995) 397-421
45. Mizunno M., Mima Y., Abdel-Karim M., and Ohno N. Uniaxial ratchetting of 316FR steel at room temperature, Part I. J. Engng. Mat. Technol. 122 (2000) 29-33
46. Molinari A. Extensions of the self-consistent tangent model. Modelling Simul. Mater. Sci. Engng. 7 (1999) 683-697
47. Mroz Z. On the description of anisotropic work-hardening. J. Mech. Phys. Sol. 15 (1967) 163-175
48. Ohno N., and Wang J.D. Kinematic hardening rules with critical state of dynamic recovery, Part II: application to experiments of ratchetting behaviour. Int. J. Plasticity 9 (1993) 391-403
49. Ohno N., and Wang J.D. Kinematic hardening rules with critical state of dynamic recovery, Part I: formulation and basis features for ratchetting behaviour. Int. J. Plasticity 9 (1993) 375-390
50. Ohno N., Abdel-Karim M., Kobayashi M., and Igari T. Ratchetting characteristics of 316FR steel at high temperature, Part I: Strain-controlled ratchetting experiments and simulations. Int. J. Plasticity 14 (1998) 355-372
51. Pilvin, P., 1996. The contribution of micromechanical approaches to the modelling of inelastic behaviour of polycrystals. In: Pineau, A., Cailletaud, G., Lindley, T., (Eds.), Fourth International Conference on Biaxial/Multiaxial Fatigue and Design. London ESIS 21, Mechanical Engineering Publications.
52. Portier L., Calloch S., Marquis D., and Geyer P. Ratchetting under tension-torsion loadings: experiments and modelling. Int. J. Plasticity 16 (2000) 303-335
53. Ristinmaa M. Cyclic plasticity model using one yield surface only. Int. J. Plasticity 11 (1995) 163-181
54. Ruggles M., and Krempl E. The influence of the test temperature on the ratchetting behavior of type 304 stainless steel. ASME J. Engng. Mat. Techol. 111 (1989) 378-383
55. Sai K., Aubourg V., Cailletaud G., and Strudel J.L. Physical basis for model with various inelastic mechanisms for nickel base superalloy. Mater. Sci. Technol. 20 (2004) 747-755
56. Sai K., Cailletaud G., and Forest S. Micro-mechanical modeling of the inelastic behavior of directionally solidified materials. Mech. Mater. 38 (2006) 203-217
57. Sai, K., Cailletaud, G., Tourki, Z., Gautier, E., Amor, A., 2006b. N-phase modeling of phase transformation in 304 stainless steel, bulging: finite element simulation and experimental validation. In: Twelfth International Symposium on Plasticity and its Applications. Halifax, Nova Scotia, Canada.
58. Taheri S., and Lorentz E. An elastic-plastic constitutive law for the description of uniaxial and multiaxial ratchetting. Int. J. Plasticity 15 (1999) 1159-1180
59. Taleb L., Cailletaud G., and Blaj L. Numerical simulation of complex ratchetting tests with a multi-mechanism model type. Int. J. Plasticity 22 (2006) 724-753
60. Taylor G. Plastic strain in metals. J. Inst. Metals 62 (1938) 307-324
61. Videau J., Cailletaud G., and Pineau A. Modélisation des effets mécaniques des transformations de phases pour le calcul des structures. J. Phys. 4 (1994) 227-232
62. Vincent L., Calloch S., and Marquis D. A general cyclic plasticity model taking into account yield surface distortion for multiaxial ratchetting. Int. J. Plasticity 20 (2004) 1817-1850
63. Yaguchi M., and Takahashi Y. Ratchetting of viscoplastic material with cyclic softening, Part I: experiments on modified 9Cr-1Mo steel. Int. J. Plasticity 21 (2005) 43-65
64. Yaguchi M., and Takahashi Y. Ratchetting of viscoplastic material with cyclic softening, Part II: application of constitutive models. Int. J. Plasticity 21 (2005) 835-860
65. Yoshida F. Rate dependent behaviour of 304 stainless steel under uniaxial creep-ratchetting and biaxial cyclic loading at room temperature. structural design for elevated temperature environments-creep ratchet, fatigue and fracture. ASME Pressure Vessels Piping Conf. 163 (1989) 81-86
66. Yoshida F. A constitutive model of cyclic plasticity. Int. J. Plasticity 16 (2000) 359-380
67. Zarka J., and Casier J. Elastic plastic response of structure to cyclic loading. Mech. today vol. 6 (1979), Nemat-Nasser Pergamon Press, New York
68. Zarka J., and Navidi P. Intelligent modeling of materials. Mech. Mater. 28 (1998) 61-82