Modification of Hardening Parameter for Computational Plasticity
ABSTRACT
Hardening can be defined as increase in the strength
of a material due to plastic deformation. A type of hardening, which is work
hardening, is performed under the cold working conditions. In metallic solids
permanent change of shape is generally carried out on a microscopic scale by
defects called dislocations which are created by stress. In addition, Hardening
parameter is so critic for the computational plasticity. In this study, the
hardening parameter, which has emerged from the variation of yield surface
equation, has been considered. It has been isolated from hardening rule and
investigated that the parameter must have a unique value for any hardening
rule.
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- 1. Guzelbey I.H., “Finite and boundary element analysis of elasto-plastic finite strain contact problems”. Ph.D. Thesis, Cranfield University, Cranfield Institute of Technology, (1992).
- 2. Nayak G.C. and Zienkiewicz O.C., “Elasto-Plastic stress analysis:a generalisation for various constitutive relations including strain softening”, IJNME, 113-135, (1972).
- 3. Prager W., “The theory of plasticity: a survey of recent achievements”, Proc. Instn Mech. Engrs, 169: 41-57, (1955).
- 4. Ziegler H., “A modification of prager's hardening rule”, Quarterly Applied Mathematics, 17: 55-65, (1959).
- 5. Pifko A., Levine H.S., Armen H., Levy A. “Nonlinear Analysis of Structures”. NASA CR-2351, NASA, Washington D.C., (1974).
- 6. Allen, D. H. “A note on the combined isotropic-kinematic work hardening rule”. IJNME, 15: 1724-1728, (1980).
- 7. Zienkiewicz O.C., Taylor L.C. “The Finite Element Method”, Mc Graw Hill., (1991).