Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case
| dc.contributor.area | Mathematics | en_US |
| 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.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.identifier.uri | https://openscience.sissa.it/handle/1963/34465 | |
| dc.language.iso | en | en_US |
| dc.miur.area | 1 | 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.subject.miur | MAT/05 | 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 |