2004/01/16 by Gianni Dal Maso, Gilles A. Francfort, Maso, Gianni Dal +3
Computer Science · Engineering · Mathematics · #35A35 #35B30 #35J25 #35R35 #49Q10 #74R10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35A35 #msc:35B30 #msc:35J25 #msc:35R35 #msc:49Q10 #msc:74R10
paper · pdf · doi:10.48550/arxiv.math/0401196
50 pages
arxiv created 2004/01/16 · openalex publication_date 2004/01/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [15]. We consider the case of n-dimensional finite elasticity, for an arbitrary n≥1, with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, both depending on time.