Finite element implementation of visco-plastic constitutive model with strain-range-dependent cyclic hardening

Communications in Numerical Methods in Engineering

Volumn 22, Issue 2, 2006, Pages 137-153

  Kang, Guozheng ^a  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

Consistent tangent modulus; Cyclic loading; Finite element method; Implicit stress integration; Ratchetting; Visco plasticity

Indexed keywords

COMPUTER SIMULATION; CYCLIC LOADS; ELASTIC MODULI; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRESS RELAXATION;

CONSISTENT TANGENT MODULUS; IMPLICIT STRESS INTEGRATION; RATCHETTING; STRAIN-RANGE-DEPENDENT CYCLIC HARDENING;

VISCOPLASTICITY;

COMPUTER SIMULATION; CYCLIC LOADS; ELASTIC MODULI; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRESS RELAXATION; VISCOPLASTICITY;

EID: 32444439431     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.803     Document Type: Article

References (28)

1. Armstrong PJ, Frederick CO. A mathematical representation of the multiaxial Bauschinger effect. CEGB Report RD/B/N731, Berkeley Nuclear Laboratories, Berkeley, U.K., 1966.
2. Hartmann S, Haupt P. Stress computation and consistent tangent operator using non-linear kinematic hardening models. International Journal for Numerical Methods in Engineering 1993; 36:3801-3814.
3. Chaboche JL, Cailletaud G. Integration methods for complex plastic constitutive equations. Computer Methods in Applied Mechanics and Engineering 1996; 133:125-155.
4. Fotiu PA, Nemat-Nasser S. A universal integration algorithm for rate-dependent elastoplasticity. Computers and Structures 1996; 59(6):1173-1184.
5. Hartmann S, Luhrs G, Haupt P. An efficient stress algorithm with applications in viscoplasticity and plasticity. International Journal for Numerical Methods in Engineering 1997; 40:991-1013.
6. Saleeb AF, Wilt TE, Li W. An implicit integration scheme for generalized viscoplasticity with dynamic recovery. Computational Mechanics 1998; 21:429-440.
7. Lubarda VA, Benson DJ. On the numerical algorithm for isotropic-kinematic hardening with the Armstrong-Frederick evolution of the back stress. Computer Methods in Applied Mechanics and Engineering 2002; 191(33):3583-3596.
8. Kobayashi M, Ohno N. Implementation of cyclic plasticity models based on a general form of kinematic hardening. International Journal for Numerical Methods in Engineering 2002; 53:2217-2238.
9. Kang GZ. A visco-plastic constitutive model for ratchetting of cyclically stable materials and its finite element implementation. Mechanics of Materials 2004; 36(4):299-312.
10. Ohno N. Recent topics in constitutive modeling of cyclic plasticity and viscoplasticity. Applied Mechanics Review 1990; 43(11):283-295.
11. Nakamura T. Application of viscoplastic theory based on overstress (VBO) to high temperature cyclic deformation of 316Fr steel. JMSE International Journal (A) 1998; 41:539-545.
12. Kang GZ, Gao Q, Cai LX, Sun YF. Experimental study on uniaxial and nonproportionally multiaxial ratchetting of SS304 stainless at room and high temperatures. Nuclear Engineering and Design 2002; 216:13-26.
13. Chaboch JL, Dang Van K, Cordier G. Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel. In Smirt5, vol. L, Berlin, Germany, 1979. Paper No. L11/3.
14. Ohno N. A constitutive model of cyclic plasticity with a nonhardening strain region. Journal of Applied Mechanics (ASME) 1982; 49:721-727.
15. Ohno N, Kachi Y. A constitutive model of cyclic plasticity for nonlinear hardening materials. Journal of Applied Mechanics (ASME) 1986; 53:395-403.
16. Chaboche JL, Nouailhas D. Constitutive modeling of ratchetting effects: I. Experimental facts and properties of the classical models; II. Possibilties of some additional kinematic rules. Journal of Engineernig Materials and Technology (ASME) 1989; 111:384-416.
17. Krempl E, Lu H. The path and amplitude dependence of cyclic hardening of type 304 stainless steel at room temperature. In Biaxial and Multiaxial Fatigue, Brown MW, Miller KJ (eds). Mechanical Engineering Publications: London, 1989; 89.
18. Yang XJ. Constitutive description of temperature-dependent nonproportional cyclic viscoplasticity. Journal of Engineering Materials and Technology (ASME) 1997; 119:12-19.
19. Kang GZ, Gao Q, Yang XJ. A visco-plastic constitutive model incorporated with cyclic hardening for uniaxial/multiaxial ratchetting of SS304 stainless steel at room temperature. Mechanics of Materials 2002; 34:521-531.
20. Kang GZ, Gao Q, Yang XJ. Uniaxial and non-proportionally multiaxial ratchetting of SS304 stainless steel at room temperature: experiments and simulations. International Journal of Nonlinear Mechanics 2004; 39: 843-857.
21. Kang GZ, Ohno N, Nebu A. Constitutive modeling of strain-range-dependent cyclic hardening. International Journal of Plasticity 2003; 19:1801-1819.
22. Ohno N, Wang JD. Kinematic hardening rules with critical state of dynamic recovery. International Journal of Plasticity 1993; 9:375-401.
23. Abdel-Karim M, Ohno N. Kinematic hardening model suitable for ratchetting with steady-state. International Journal of Plasticity 2000; 16:225-240.
24. ABAQUS/Standards User's Manual, Version 6.2. Hibbitt, Karlsson and Sorensen, Inc., 2001.
25. Chaboche JL. Cyclic viscoplastic constitutive equations. Journal of Applied Mechanics (ASME) 1993; 60: 813-828.
26. NUPEC. Seismic proving tests of ultimate piping strength. NUPEC Annual Report 2000, Nuclear Power Engineering Corporation, Tokyo, 2000; 65-90.
27. Krieg RD, Krieg DB. Accuracies of numerical solution methods for the elastic-perfectly plastic model. Journal of Pressure Vessel Technology 1977; 99:510-515.
28. Ohno N, Abdel-Karim M. Uniaxial ratchetting of 316FR steel at room temperature: Part II. Constitutive modeling and simulation. Journal of Engineering Materials and Technology (ASME) 2000; 122:35-41.