Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach
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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.
Mathematics Subject Classification: 49K10 / 49Q20
Key words: Variational models / energy minimization / free discontinuity problems / crack propagation / Young measures / quasistatic evolution / rate-independent processes
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