Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures

Simple item page
dc.creatorGiacomini, Alessandro
dc.date2003-03-04
dc.date.accessioned2026-07-07T04:55:45Z
dc.date.available2026-07-07T04:55:45Z
dc.descriptionWe define a notion of quasi-static evolution for the elliptic approximation of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we prove that this regular evolution converges to a quasi-static growth of brittle fractures in linearly elastic bodies.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0303040
dc.identifierhttp://arxiv.org/abs/math/0303040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66687
dc.subjectAnalysis of PDEs
dc.subject35R35; 74R10, 35J25
dc.titleAmbrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures
dc.typetext

Files

Collections

arXiv