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 [G. Dal Maso and C. Zanini, Proc. Roy. Soc. Edinburgh Sect. A 137 (2007) 253-279] is recovered. In this case, the convergence of the discrete time approximations is improved.

Classification: 49K10, 49Q20

Keywords: variational models, energy minimization, free discontinuity problems, crack propagation, Young measures, quasistatic evolution, rate-independent processes

@article{COCV_2011__17_1_1_0, author = {Cagnetti, Filippo and Toader, Rodica}, title = {Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, publisher = {EDP-Sciences}, volume = {17}, number = {1}, year = {2011}, pages = {1-27}, doi = {10.1051/cocv/2009037}, zbl = {1210.49046}, mrnumber = {2775184}, language = {en}, url = {http://www.numdam.org/item/COCV_2011__17_1_1_0} }

Cagnetti, Filippo; Toader, Rodica. Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach. ESAIM: Control, Optimisation and Calculus of Variations, Volume 17 (2011) no. 1, pp. 1-27. doi : 10.1051/cocv/2009037. http://www.numdam.org/item/COCV_2011__17_1_1_0/

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