A simple implicit scheme for stress response computation in plasticity models

Computational Mechanics

Volumn 20, Issue 6, 1997, Pages 520-529

  Sivakumar, M S ^a   Voyiadjis, G Z ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC LOADS; INTEGRATION; MATHEMATICAL MODELS; PLASTICITY; STRAIN;

STRESS RESPONSE COMPUTATION;

STRESS ANALYSIS;

EID: 0031274553     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050272     Document Type: Article

References (20)

1. Amstrong PJ, Frederick CO (1966) A mathematical representation of the multiaxial Bauschinger effect. Berkely Nuclear Laboratories, R&D Department, Report No. RD/B/N/731
2. Chrisfield MA (1981) Consistent schemes for plasticity computation with the Newton-Raphson method. Computational Plasticity: Models, Software and Applications, Part 1, Pineridge, Swansea, pp. 133-259.
3. Drucker DC, Prager W (1952) Soil Mechanics and Plastic Analysis of Limit Design. Quart. Appl. Math., 10, 157-165
4. Hinton E, Ezzat MH (1987) Fundamental tests for two-and three-dimensional, small strain, elastoplastic finite element analysis. National Agency for Finite Element Methods and Standards Report SSEPT
5. Hinton E, Hellen TK, Lyons LPR (1989) On elasto-plastic benchmark philosophies. Computational Plasticity: Models, Software and Applications (ed) Owen et al. DRJ, Pineridge, Swansea, pp. 389-408
6. Krieg RD, Key SM (1976) Implementation of a time independent plasticity theory into structural computer programs. Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects, AMD-20, In: Stricklin JA et al.,(ed.) ASME, New York, pp. 125-138
7. Krieg RD, Krieg DB (1977) Accuracies of numerical solution methods for the elastic-perfeclly plastic model. Trans. ASME, 510-515
8. Nagtegal JC (1982) On the implementation of inelastic constitutive equations with special reference to large deformation problems. Comp. Meth. Appl. Mech. Eng., 33:469-484
9. Nikishkov GP, Atluri SN (1993) Implementation of a generalized midpoint algorithm for integration of elastoplastic constitutive relations for von Mises' hardening material. Comput. Struct., 49 (6);1037-1044
10. Nyssen C (1981) An efficient and accurate iterative method allowing large incremental steps to solve elasto-plastic problems. Comput. Struct., 13:63-71
11. Ortiz M, Popov EP (1985) Accuracy and stability if integration algorithms for elasto-plastic constitutive relations. Int. J. Num. Meth. Eng., 21:1561-1576
12. Ortiz M, Simo JC (1986) An analysis of a new class of integration algorithms for elastoplastic constitutive relations. Int. J. Num. Meth. Eng., 23:353-366
13. Owen DRJ, Prakash A, Zienkiewicz OC (1974) Finite element analysis of non-linear composite materials by use of overlay systems. Int. J. Num. Meth. Eng., 4:1251-1267
14. Prager W (1956) 'A new method of analyzing stresses and strains in work-hardening plastic solids. ASME Appl. Mech., 78:493-496
15. Rice JR, Tracey DM (1973) Computation fracture mechanics, In:Ienves SJ (ed.) Proc. Symp. Num. Meth. Struct. Mech. Academic Press, p. 585
16. Shreyer HL., Kulak RF, Kramer J M (1979) Accurate numerical solutions for elasto-plastic models. ASME J. Vessel Tech., 101:226-234
17. Voyiadjis GZ, Sivakumar MS (1991) A robust kinematic hardening rule for cyclic plasticity with ratchetting effects. Part I. Theoretical Formulation. Acta Mech., 90:105-123
18. Voyiadjis GZ, Sivakumar MS (1994) A robust kinematic hardening rule for cyclic plasticity with ratchetting effects. Part II. Application to nonproportional loading cases. Acta Mech., 107:117-136
19. Wang LH, Atluri SN (1994) An analysis of an explicit algorithm and the radial return algorithm, and a proposed modification, in finite plasticity. Comput. Mech., 13:380-389
20. Wilkins ML (1964) Calculation of elastic-plastic flow. In: Alder (ed.) Methods of Computational Physics, Vol. 3 Academic Press