We present a recent existence result concerning the quasistatic evolution of cracks in hyperelastic brittle materials, in the framework of finite elasticity with non-interpenetration. In particular, here we consider the prob- lem 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 [9].
Crack growth with non-interpenetration: a simplified proof for the pure Neumann problem / Dal Maso, Gianni; Lazzaroni, Giuliano. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 31:4(2011), pp. 1219-1231. (Intervento presentato al convegno Variational Analysis and Applications tenutosi a Erice (Trapani) nel 9-17 maggio 2009) [10.3934/dcds.2011.31.1219].
Crack growth with non-interpenetration: a simplified proof for the pure Neumann problem
Dal Maso, Gianni;
2011-01-01
Abstract
We present a recent existence result concerning the quasistatic evolution of cracks in hyperelastic brittle materials, in the framework of finite elasticity with non-interpenetration. In particular, here we consider the prob- lem 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 [9].| File | Dimensione | Formato | |
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