Abstract
The formulation of a backward difference algorithm based on an internal variable description for piecewise linear yield surfaces is presented. Attention is restricted to an associated flow rule and isotropic material behaviour. The Tresca and Mohr-Coulomb yield surfaces with perfectly plastic and linear hardening rules are considered in detail. The algorithm has the advantages of being fully linked to the governing principles and avoiding the inherent problems associated with corners on the yield surface. It is used to identify return paths in stress space for the Tresca and Mohr-Coulomb yield surfaces with perfectly plastic and linear hardening rules. These return paths provide a basis against which heuristically developed algorithms can be compared.
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