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
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.File in questo prodotto:
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DM-Orl-Toa-fracture-2016.pdf
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