Title | Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case |
Publication Type | Journal Article |
Year of Publication | 2016 |
Authors | Dal Maso, G, Orlando, G, Toader, R |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 55 |
Pagination | 45 |
Date Published | Apr |
ISSN | 1432-0835 |
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. |
URL | https://doi.org/10.1007/s00526-016-0981-z |
DOI | 10.1007/s00526-016-0981-z |
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