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 .
|Titolo:||Crack growth with non-interpenetration: a simplified proof for the pure Neumann problem|
|Autori:||DAL MASO G; LAZZARONI G|
|Rivista:||DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS|
|Digital Object Identifier (DOI):||10.3934/dcds.2011.31.1219|
|Data di pubblicazione:||2011|
|Appare nelle tipologie:||4.1 Contribution in Conference proceedings|