Modeling of ratcheting behavior under multiaxial cyclic loading

Acta Mechanica

Volumn 163, Issue 1-2, 2003, Pages 9-23

  Chen, X ^a   Kim, K S ^b  

^a TIANJIN UNIVERSITY   (China)

^b Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CARBON STEEL; COMPUTER SIMULATION; CYCLIC LOADS; STRAIN; SURFACES;

MULTIAXIAL CYCLIC LOADING; RATCHETING BEHAVIOR; TWO SURFACE PLASTICITY THEORY;

PLASTICITY;

EID: 0042342745     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-003-1017-2     Document Type: Article

References (34)

1. Rider, R. J., Harvey, S. J., Chandler, H. D.: Fatigue and ratcheting interactions. Int. J. Fatigue 7, 507-511 (1995).
2. Chaboche, J. L.: Modeling of ratcheting: evaluation of various approaches. Eur. J. Mech. A/Solids. 13, 501-518 (1994).
3. McDowell, D. L.: Description of nonproportional cyclic ratcheting behavior. Eur. J. Mech. A/Solids 13, 593-604 (1994).
4. Ohno, N.: Recent progress in constitutive modeling for ratcheting. Mat. Sci. Res. Int. 3, 1-9 (1998).
5. Bari, S., Hassan, T.: Anatomy of coupled constitutive model for ratcheting simulation. Int. J. Plast. 16, 381-409 (2000).
6. Bari, S. Hassan, T.: Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation. Int. J. Plast. 17: 885-905 (2001).
7. Hassan, T., Kyriakides, S.: Ratcheting in cyclic plasticity. Part I: Uniaxial behavior. Int. J. Plast. 8, 91-116 (1992).
8. Hassan, T., Corona, E., Kyriakides, S.: Ratcheting in cyclic plasticity. Part II: Multiaxial behavior. Int. J. Plast. 8, 117-146 (1992).
9. Hassan, T., Kyriakides, S.: Ratcheting of cyclically hardening and softening materials. Part I: Uniaxial behavior. Int. J. Plast. 10, 149-184 (1994).
10. Hassan, T., Kyriakides, S.: Ratcheting of cyclically hardening and softening materials. Part II: Multiaxial behavior. Int. J. Plast. 10, 185-212 (1994).
11. Jiang, Y., Sehitoglu, H.: Cyclic ratcheting of 1070 steel under multiaxial stress state. Int. J. Plast. 10, 579-608 (1994).
12. Jiang, Y., Sehitoglu, H.: Multiaxial cyclic ratcheting under multiple step loading. Int. J. Plast. 10, 849-870 (1994).
13. Portier, L., Colloch, S. Marquis, D., Geyer, P.: Ratcheting under tension-torsion loadings: Experiments and modeling. Int. J. Plast. 16, 303-335 (2000).
14. Prager, W.: A new method of analyzing stresses and strains in work hardening plastic solids. J. Appl. Mech. 23, 493-496 (1956).
15. Ziegler, H.: A modification of Prager's hardening rule. Quart. Appl. Math. 17, 55-65 (1959).
16. Mroz, Z.: On the description of anisotropic work hardening. J. Mech. Phys. Solids 15, 163-175 (1967).
17. Armstrong, P. J., Frederick, C. O.: A mathematical representation of the multiaxial Bauschinger effect, CEGB Report RD/B/N731, Berkeley Nucl. Lab. 1966.
18. Bower, A.F.: Cyclic hardening properties of hard-drawn copper and rail steel. J. Mech. Phys. Solids 37, 455-470 (1989).
19. Chaboche, J. L., Nouailhas, D.: Constitutive modelling of ratcheting effects. Part I: Experimental facts and properties of classical models. ASME J. Engng Mat. Tech. 111, 384-392 (1989).
20. Chaboche, J. L., Nouailhas, D.: Constitutive modeling of ratcheting effects. Part II: Possibilities of some additional kinematic rules. ASME J. Engng Mat. Tech. 111, 409-416 (1989).
21. Ohno, N., Wang, J.-D.: Kinematic hardening rules with critical state of dynamic recovery. Part I: Formulations and basic features for ratcheting behavior. Int. J. Plast. 9, 375-390 (1993).
22. Ohno, N., Wang, J. D.: Kinematic hardening rules with critical state of dynamic recovery. Part II: application to experiments of ratcheting behavior. Int. J. Plast. 9, 391-411 (1993).
23. Jiang, Y., Sehitoglu, H.: Modeling of cyclic ratcheting plasticity. Part 1: Development of constitutive relations. ASME J. Appl. Mech. 63, 720-725 (1996).
24. Chaboche, J. L.: On some modifications of kinematic hardening to improve the description of ratcheting effects. Int. J. Plast. 7, 661-678 (1991).
25. Dafalias, Y. F., Popov, E.P.: Plastic internal variables formalism of cyclic plasticity. ASME J. Appl. Mech. 43, 645-650 (1976).
26. McDowell, D. L.: A two surface model for transient nonproportional cyclic plasticity. ASME J. Appl. Mech. 52, 298-308 (1985).
27. Ellyin, F., Xia, Z.: A rate-independent constitutive model for transient nonproportional loading. J. Mech. Phys. Solids 37, 71-91 (1989).
28. Xia, Z., Ellyin, F.: A constitutive model with capability to simulate complex multiaxial ratcheting behaviour of materials. Int. J. Plast. 13, 127-142 (1997).
29. Voyiadjis, G.Z., Sivakumar, S. M.: A robust kinematic hardening rule for cyclic plasticity with ratcheting effects. Part I: theoretical formulation. Acta Mech. 90, 105-123 (1991).
30. Chen, X., Abel, A.: A two-surface model describing ratcheting behaviors and transient hardening under nonproportional loading. Acta Mech. Sin. (English series) 12, 368-376 (1996).
31. Itoh, T., Chen, X., Nakagawa, T., Sakane, M.: A simple model for stable cyclic stress-strain relationship of type 304 stainless steel under nonproportional loading. ASME J. Engng Mat. Tech. 122, 1-9 (2000).
32. Tseng, N. T., Lee, G. C.: Simple plasticity model of the two-surface type. ASCE J. Engng Mech. 109, 795-810 (1983).
33. Chaboche, J. L.: Time independent constitutive theories for cyclic plasticity. Int. J. Plast. 2, 149-174 (1986).
34. McDowell, D. L.: Stress state dependence of cyclic ratcheting behavior of two rail steels. Int. J. Plast. 11, 397-421 (1995).