An Artificial Viscosity Approach to Quasistatic Crack Growth
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 1-35

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We introduce a new model of irreversible quasistatic crack growth in which the evolution of cracks is the limit of a suitably modified $\epsilon$-gradient flow of the energy functional, as the "viscosity" parameter $\epsilon$ tends to zero.
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     author = {Toader, Rodica and Zanini, Chiara},
     title = {An {Artificial} {Viscosity} {Approach} to {Quasistatic} {Crack} {Growth}},
     journal = {Bollettino della Unione matematica italiana},
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     volume = {Ser. 9, 2},
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     year = {2009},
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     mrnumber = {2493642},
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     url = {http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a0/}
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Toader, Rodica; Zanini, Chiara. An Artificial Viscosity Approach to Quasistatic Crack Growth. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 1-35. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a0/