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A discontinuous Galerkin formulation for classical and gradient plasticity – Part 1: Formulation and analysis

✍ Scribed by J.K. Djoko; F. Ebobisse; A.T. McBride; B.D. Reddy

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
286 KB
Volume
196
Category
Article
ISSN
0045-7825

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✦ Synopsis

A discontinuous Galerkin formulation is developed and analyzed for the cases of classical and gradient plasticity. The model of gradient plasticity is based on the von Mises yield function, in which dependence is on the isotropic hardening parameter and its Laplacian. The problem takes the form of a variational inequality of the second kind. The discontinuous Galerkin formulation is shown to be consistent and convergent. Error estimates are obtained for the cases of semi-and fully discrete formulations; these mimic the error estimates obtained for classical plasticity with the conventional Galerkin formulation.

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