Calculus of Variations and Geometric Measure Theory
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G. Dal Maso - G. Lazzaroni

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

created by lazzaroni on 27 Nov 2009
modified on 19 Sep 2011


Published Paper

Inserted: 27 nov 2009
Last Updated: 19 sep 2011

Journal: Discrete Contin. Dyn. Syst. (DCDS-A)
Volume: 31
Number: 4
Pages: 1219-1231
Year: 2011


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 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 Dal Maso-Lazzaroni, 2009.


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