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
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
