Volume 17, Number 1, January-March 2011
|Page(s)||1 - 27|
|Published online||09 October 2009|
Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach
SISSA, via Beirut 2,
34014 Trieste, Italy. email@example.com
2 Univ. Udine, Dip. Ingegneria Civile, via delle Scienze 208, 33100 Udine, Italy. firstname.lastname@example.org
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
© EDP Sciences, SMAI, 2009
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