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Crack growth with non-interpenetration : a simplified proof for the pure Neumann problem

TitleCrack growth with non-interpenetration : a simplified proof for the pure Neumann problem
Publication TypeJournal Article
Year of Publication2011
AuthorsDal Maso, G, Lazzaroni, G
JournalDiscrete and Continuous Dynamical Systems - Series A 31 (2011) 1219-1231
Abstract

We present a recent existence result concerning the quasi-static evolution of cracks in hyperelastic brittle materials, in the frame-work of finite elasticity with non-interpenetration. In particular, here we consider the problem where no Dirichlet conditions are imposed, the boundary is traction-free, and the body is subject only to time-dependent volume forces. This allows us to present the main ideas of the proof in a simpler way, avoiding some of the technicalities needed in the general case, studied in.

URLhttp://hdl.handle.net/1963/3801
DOI10.3934/dcds.2011.31.1219

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