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 (Formula presented.) , which forces damage concentration on regions of codimension one. We determine the (Formula presented.) -limit as (Formula presented.) 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
Gianluca Orlando;
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 (Formula presented.) , which forces damage concentration on regions of codimension one. We determine the (Formula presented.) -limit as (Formula presented.) tends to zero and show that it contains an energy term involving the crack opening.File in questo prodotto:
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