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

dc.contributor.author	Dal Maso, Gianni
dc.contributor.author	Orlando, Gianluca
dc.contributor.author	Toader, Rodica
dc.date.accessioned	2015-04-30T09:06:54Z
dc.date.available	2015-04-30T09:06:54Z
dc.date.issued	2015-04
dc.identifier.uri	http://preprints.sissa.it/xmlui/handle/1963/34465
dc.description	The preprint is composed of 34 pages	en_US
dc.description.abstract	We study the asymptotic behavior of a variational model for damaged elastoplastic materials in the case of antiplane shear. The energy functionals we consider depend on a small parameter " , which forces damage concentration on regions of codimension one. We determine the 􀀀-limit as " tends to zero and show that it contains an energy term involving the crack opening.	en_US
dc.description.sponsorship	This material is based on work supported by the Italian Ministry of Education, University, and Research under the Project \Calculus of Variations" (PRIN 2010-11) and by the European Research Council under Grant No. 290888 \Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture". The authors are members of the Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni	en_US
dc.language.iso	en	en_US
dc.publisher	SISSA	en_US
dc.subject	Damage problems	en_US
dc.subject	Elasto-plasticity	en_US
dc.subject	Cohesive fracture	en_US
dc.subject	Gradient damage models	en_US
dc.title	Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case	en_US
dc.type	Preprint	en_US
dc.subject.miur	MAT/05	en_US
dc.miur.area	1	en_US
dc.contributor.area	Mathematics	en_US