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 / 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

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.
2016
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/215417
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