Modified kinematic hardening rule for multiaxial ratcheting prediction

International Journal of Plasticity

Volumn 20, Issue 4-5, 2004, Pages 871-898

  Chen, X ^a   Jiao, R ^a  

^a TIANJIN UNIVERSITY   (China)

Author keywords

Constitutive model; Cyclic plasticity; Kinematic hardening rule; Multiaxial loading; Ratcheting

Indexed keywords

COMPUTER SIMULATION; ELASTIC MODULI; FATIGUE OF MATERIALS; FRACTURE; NONLINEAR EQUATIONS; PLASTIC DEFORMATION; PLASTICITY; POISSON RATIO; STAINLESS STEEL; STRESSES;

CONSTITUTIVE MODELS; CYCLIC PLASTICITY; KINEMATIC HARDENING RULES; MULTIAXIAL LOADING; RATCHETING;

HARDENING;

EID: 0347600782     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2003.05.005     Document Type: Article

References (44)

1. Abdel-Kanim M., Ohno N. Kinematic hardening model suitable for ratcheting with steady-state. International Journal of Plasticity. 16:2000;225-240.
2. Armstrong, P.J., Frederick, C.O., 1966. A Mathematical Representation of the Multiaxial Bauschinger Effect. CEGB Report No. RD/B/N 731.
3. Bari S., Hassan T. Anatomy of coupled constitutive model for ratcheting simulation. International Journal of Plasticity. 16:2000;381-409.
4. Bari S., Hassan T. Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation. International Journal of Plasticity. 17:2001;885-905.
5. Bari S., Hassan T. An advancement in cyclic plasticity modeling for multiaxial ratcheting simulation. International Journal of Plasticity. 18:2002;873-894.
6. Bocher L., Delobelle P., Robinet P., Feaugas X. Mechanical and microstructural investigations of an austenitic stainless steel under non-proportional loadings in tension-torsion - internal and external pressure. International Journal of Plasticity. 17:2001;1491-1530.
7. Bower A.F. Cyclic hardening properties of hard-drawn copper and rail steel. Journal of the Mechanics and Physics of Solids. 37:1989;455-470.
8. Burlet H., Cailletaud G. Numerical techniques for cyclic plasticity at variable temperature. Engineering Computation. 3:1986;143-153.
9. Chaboche J.L. On some modifications of kinematic hardening to improve the description of ratcheting effects. International Journal of Plasticity. 7:1991;661-678.
10. Chaboche J.L. Modeling of ratchetting. evaluation of various approaches European Journal of Mechanics, A/Solids. 13:1994;501-518.
11. Chaboche J.L., Nouailhas D. Constitutive modelling of ratchetting effects. Part I: experimental facts and properties of classical models. ASME Journal of Engineering Materials and Technology. 3:1989;384-390.
12. Chaboche J.L., Nouailhas D. Constitutive modeling of ratchetting effects. Part II: possibilities of some additional kinematic rules. ASME Journal of Engineering Materials and Technology. 3:1989;409-416.
13. Chen X., Tian T., An K. Non-proportional cyclic hardening behaviors of 1Cr18Ni9Ti stainless steel. Acta Mechanica Sinica. 33:2001;698-705.
14. Chun B.K., Jinn J.T., Lee J.K. Modeling the Bauschinger effect for sheet metals, part I. theory International Journal of Plasticity. 18:2002;571-595.
15. Corona E., Hassan T., Kyriakides S. On the performances of kinematic hardening rules in predicting a class of biaxial ratcheting histories. International Journal of Plasticity. 12:1996;117-145.
16. Delobelle P., Robinet P., Bochen L. Experimental study and phenomelogical modelization of ratcheting under uniaxial and biaxial loading on an austenite stainless steel. International Journal of Plasticity. 11:1995;295-330.
17. François M. A plasticity model with yield surface distortion for non proportional loading. International Journal of Plasticity. 17:2001;703-717.
18. Geng L., Shen Y., Wagoner R.H. Anisotnopic hardening equations derived from reverse-bend testing. International Journal of Plasticity. 18:2002;743-767.
19. Hassan T., Kyriakides S. Ratcheting in cyclic plasticity, part I. uniaxial behavior International Journal of Plasticity. 8:1992;91-116.
20. Hassan T., Corona E., Kyriakides S. Ratcheting in cyclic plasticity, part II. multiaxial behavior International Journal of Plasticity. 8:1992;117-146.
21. Hassan T., Kyriakides S. Ratcheting of cyclically hardening and softening materials, part I. uniaxial behavior International Journal of Plasticity. 10:1994;149-184.
22. Hassan T., Kyriakides S. Ratcheting of cyclically hardening and softening materials, part II. multiaxial behavior International Journal of Plasticity. 10:1994;185-212.
23. Ho K., Krempl E. Extension of the viscoplasticity theory based on overstress (VBO) to capture non-standard rate dependence in solids. International Journal of Plasticity. 18:2002;851-872.
24. Igaria T., Kobayashi M., Yoshida F., Imatani S., Inoue T. Inelastic analysis of new thermal ratcheting due to a moving temperature front. International Journal of Plasticity. 18:2002;1191-1217.
25. Jiang Y., Sehitoglu H. Cyclic ratcheting of 1070 steel under multiaxial stress state. International Journal of Plasticity. 10:1994;579-608.
26. Jiang Y., Sehitoglu H. Multiaxial cyclic ratcheting under multiple step loading. International Journal of Plasticity. 10:1994;849-870.
27. Jiang Y., Sehitoglu H. Modeling of cyclic ratcheting plasticity, part 1. development of constitutive relations ASME Journal of Applied Mechanics. 63:1996;720-725.
28. Jiang Y., Kurath P. Characteristics of the Armstrong-Frederick type plasticity models. International Journal of Plasticity. 8:1996;117-146.
29. Krempl E., Khan F. Rate (time)-dependent deformation behavior: an overview of some properties of metals and solid polymers. International Journal of Plasticity. 19:2003;1069-1095.
30. McDowell D.L. Description of nonproportional cyclic ratcheting behavior. European Journal of Mechanics, A/Solids. 13:1994;593-604.
31. McDowell D.L. Stress state dependence of cyclic ratcheting behavior of two rail steels. International Journal of Plasticity. 11:1995;397-421.
32. Ohno N., Wang J.-D. Kinematic hardening rules with critical state of dynamic recovery, part I. formulations and basic features for ratcheting behavior International Journal of Plasticity. 9:1993;375-390.
33. Ohno N., Wang J.D. Kinematic hardening rules with critical state of dynamic recovery, part II: application to experiments of ratcheting behavior. International Journal of Plasticity. 9:1993;391-403.
34. Ohno N. Constitutive modeling of cyclic plasticity with emphasis on ratcheting. International Journal of Mechanical Sciences. 40:1998;251-261.
35. Phillips A., Tang J.L. The effect of loading path on the yield surface at elevated temperatures. International Journal of Solids Structures. 8:1972;463-474.
36. Phillips A., Lee C.W. Yield surfaces and loading surfaces. experiments and recommendations International Journal of Solids Structures. 15:1979;715-729.
37. Portier L., Calloch S., Marquis D., Geyer P. Ratcheting under tension-torsion loadings. experiments and modeling International Journal of Plasticity. 16:2000;303-335.
38. Prager W. A new method of analyzing stress and strain in work hardening plastic solids. Journal of Applied Mechanics. 23:1956;493-496.
39. Rider R.J., Harvey S.J., Chandler H.D. Fatigue and ratcheting interactions. International Journal of Fatigue. 17:1995;507-511.
40. Vincent L., Colloch S., Kurtyka T., Marquis D. An improvement of multiaxial ratcheting modeling via yield surface distortion. ASME Trans. J. Engng Mater. Tech. 124:2002;402-411.
41. Voyiadjis G.Z., Basuroychowdhury I.N. A plasticity model for multiaxial cyclic loading and ratcheting. Acta Mechanica. 126:1998;19-35.
42. Yaguchi M., Yamamoto M., Ogata T. A viscoplastic constitutive model for nickel-base superalloy, part 1. kinematic hardening rule of anisotropic dynamic recovery International Journal of Plasticity. 16:2002;1083-1109.
43. Yoshida F. A constitutive model of cyclic plasticity. International Journal of Plasticity. 16:2000;359-380.
44. Yoshida F., Uemoni T. A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation. International Journal of Plasticity. 18:2002;661-686.