# Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case

created by orlando on 27 Apr 2015
modified on 10 Jun 2016

[BibTeX]

Published Paper

Inserted: 27 apr 2015
Last Updated: 10 jun 2016

Journal: Calc. Var. Partial Differential Equations
Volume: 55:45
Year: 2016
Doi: 10.1007/s00526-016-0981-z

Abstract:

We study the asymptotic behavior of a variational model for damaged elasto-plastic materials in the case of antiplane shear. The energy functionals we consider depend on a small parameter $\varepsilon$, which forces damage concentration on regions of codimension one. We determine the $\Gamma$-limit as $\varepsilon$ tends to zero and show that it contains an energy term involving the crack opening.