We describe an existence result for quasistatic evolutions of cracks in antiplane elasticity obtained in Lazzaroni-Toader, M3AS 2011, by a vanishing viscosity approach, with free (but regular enough) crack path. We underline in particular the motivations for the choice of the class of admissible cracks and of the dissipation potential. Moreover, we extend the result to a model with applied forces depending on time.
Some remarks on the viscous approximation of crack growth / Lazzaroni, Giuliano*; Toader, Rodica. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 6:(2013), pp. 131-146. [10.3934/dcdss.2013.6.131]
Some remarks on the viscous approximation of crack growth
Lazzaroni, Giuliano;
2013
Abstract
We describe an existence result for quasistatic evolutions of cracks in antiplane elasticity obtained in Lazzaroni-Toader, M3AS 2011, by a vanishing viscosity approach, with free (but regular enough) crack path. We underline in particular the motivations for the choice of the class of admissible cracks and of the dissipation potential. Moreover, we extend the result to a model with applied forces depending on time.
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