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A regularization framework for damage-plasticity models via gradient enhancement of the free energy

B.J. Dimitrijevic, K. Hackl.

International Journal for Numerical Methods in Biomedical Engineering, John Wiley & Sons, New York, 27, 1199-1210, (2011)

We present a framework for the regularization of coupled damage-plasticity models through gradient enhancement of the Helmholtz-free-energy function. This enhancement is achieved introducing new variables, coupled to the gradients of the inelastic variables and thus regularizing the model. The variational formulation of the model results in a pure minimization problem. Numerical examples, which show the performance of the proposed gradient-enhanced model, are presented. It is shown that the pathological mesh dependence of the coupled inelastic model is efficiently removed, together with the difficulties of numerical calculations in the softening range.

Keyword(s): gradient damage, gradient plasticity, damage–plasticity material model
Cite as: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960815150&doi=10.1002%2fcnm.1350&partnerID=40&md5=15000227dfa7cb6ea7ce3ea110ec8aec
DOI: 10.1002/cnm.1350
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