Journal
INTERNATIONAL JOURNAL OF PLASTICITY
Volume 27, Issue 8, Pages 1224-1238Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2011.01.005
Keywords
Non-quadratic; Plasticity integration; Flow potential
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A new plasticity integration algorithm is proposed based upon observations from the closed form integration of a generalized quadratic yield function over a single time step. The key to the approach is specification of the normal to the plastic flow potential as a function of the current state and strain increment. This uniquely defines the direction of the stress tensor for a convex, non-faceted flow potential. The stress magnitude and plastic strain increment are computed to satisfy the yield function. A non-quadratic, isotropic, associative flow model is coded to demonstrate accuracy and time step convergence following a step change in loading path. The model is used in additional simulations of strain localization in an expanding ring and a perforated plate. Published by Elsevier Ltd.
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