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 ε, which forces damage concentration on regions of codimension one. We determine the Gamma-limit as ε tends to zero and show that it contains an energy term involving the crack opening.
Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case / Dal Maso, Gianni; Orlando, Gianluca; Toader, Rodica. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 55:3(2016). [10.1007/s00526-016-0981-z]
Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case
TOADER, Rodica
2016-01-01
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 ε, which forces damage concentration on regions of codimension one. We determine the Gamma-limit as ε tends to zero and show that it contains an energy term involving the crack opening.Pubblicazioni consigliate
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