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

Djoko, J. K., Ebobisse, F., McBride, A. and Reddy, B. D. (2007) A discontinuous Galerkin formulation for classical and gradient plasticity. Part 1: Formulation and analysis. Computer Methods in Applied Mechanics and Engineering, 197(37-40), pp. 3881-3897. (doi:10.1016/j.cma.2006.10.045)

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Abstract

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.

Item Type:Articles
Keywords:Algorithms,Consistent tangent modulus,Discontinuous Galerkin,Elastoplasticity,Gradient plasticity
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McBride, Dr Andrew
Authors: Djoko, J. K., Ebobisse, F.,