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Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Maso, Gianni Dal

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Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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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 epsilon, which forces damage concentration on regions of codimension one. We determine the Γ-limit as ε tends to zero and show that it contains an energy term involving the crack opening.