Calculus of Variations and Geometric Measure Theory

F. Cagnetti - R. Toader

Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach

created by cagnetti on 15 Oct 2007
modified on 13 Nov 2013


Published Paper

Inserted: 15 oct 2007
Last Updated: 13 nov 2013

Journal: ESAIM Control Optim. Calc. Var.
Volume: 17
Pages: 1--27
Year: 2011


A new approach to irreversible quasistatic fracture growth is given, by means of Young measures. The study concerns a cohesive zone model with prescribed crack path, when the material gives different responses to loading and unloading phases. In the particular situation of constant unloading response, the result contained in 6 is recovered. In this case, the convergence of the discrete time approximations is improved.