Geodesic
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, Tome 17 (2011) no. 1, pp. 1-27

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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.

DOI : 10.1051/cocv/2009037
Classification : 49K10, 49Q20
Keywords: variational models, energy minimization, free discontinuity problems, crack propagation, Young measures, quasistatic evolution, rate-independent processes 
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     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},
     pages = {1--27},
     publisher = {EDP-Sciences},
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     doi = {10.1051/cocv/2009037},
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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, Tome 17 (2011) no. 1, pp. 1-27. doi: 10.1051/cocv/2009037

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