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.
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},
pages = {1--27},
year = {2011},
publisher = {EDP Sciences},
volume = {17},
number = {1},
doi = {10.1051/cocv/2009037},
mrnumber = {2775184},
zbl = {1210.49046},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2009037/}
}
TY - JOUR AU - Cagnetti, Filippo AU - Toader, Rodica TI - Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2011 SP - 1 EP - 27 VL - 17 IS - 1 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2009037/ DO - 10.1051/cocv/2009037 LA - en ID - COCV_2011__17_1_1_0 ER -
%0 Journal Article %A Cagnetti, Filippo %A Toader, Rodica %T Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach %J ESAIM: Control, Optimisation and Calculus of Variations %D 2011 %P 1-27 %V 17 %N 1 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/cocv/2009037/ %R 10.1051/cocv/2009037 %G en %F 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, Tome 17 (2011) no. 1, pp. 1-27. doi: 10.1051/cocv/2009037
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