We introduce a new model of irreversible quasistatic crack growth in which the evolution of cracks is the limit of a suitably modified -gradient flow of the energy functional, as the "viscosity" parameter tends to zero.
@article{BUMI_2009_9_2_1_1_0,
author = {Rodica Toader and Chiara Zanini},
title = {An Artificial Viscosity Approach to Quasistatic Crack Growth},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {2},
year = {2009},
pages = {1-35},
zbl = {1180.35521},
mrnumber = {2493642},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_1_1_0}
}
Toader, Rodica; Zanini, Chiara. An Artificial Viscosity Approach to Quasistatic Crack Growth. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 1-35. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_1_1_0/
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