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A variational coupled damage‐plasticity model via gradient enhancement of the free energy function
Author(s) -
Dimitrijevic Bojan J.,
Hackl Klaus
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910074
Subject(s) - softening , regularization (linguistics) , plasticity , mathematics , finite element method , interpolation (computer graphics) , mechanics , mathematical analysis , mathematical optimization , physics , computer science , statistical physics , classical mechanics , thermodynamics , motion (physics) , statistics , artificial intelligence
We present a coupled damage‐plasticity model, whose regularization is achieved through gradient enhancement of the free energy function by introducing new variables. They serve to transport the values of the inelastic variables across the element boundaries, and their gradients play regularisation role in the model. Variational formulation results in a pure minimisation problem, leading to model non‐local in nature and preserving C 0 interpolation order of the variables. Numerical examples illustrating the performance of the proposed model are presented. It is shown that the pathological mesh dependence is efficiently removed, together with the difficulties of numerical calculations in the softening range. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)