Shape derivative of potential energy and energy release rate in fracture mechanics

Simple item page
dc.creatorKimura, Masato
dc.creatorWakano, Isao
dc.date2008-06-20
dc.date.accessioned2026-07-07T09:45:55Z
dc.date.available2026-07-07T09:45:55Z
dc.descriptionWe study general mathematical framework for variation of potential energy with respect to domain deformation. It enables rigorous derivation of the integral formulas for the energy release rate in crack problems. Applying a technique of the shape sensitivity analysis, we formulate the shape derivative of potential energy as a variational problem with a parameter. Key tools of our abstract theory are a new parameter variational principle and the classical implicit function theorem in Banach spaces.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0806.3449
dc.identifierhttp://arxiv.org/abs/0806.3449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163357
dc.subjectAnalysis of PDEs
dc.subject35J20 (Primary) 74G65, 74R10 (Secondary)
dc.titleShape derivative of potential energy and energy release rate in fracture mechanics
dc.typetext

Files

Collections

arXiv