We describe an existence result for quasistatic evolutions of cracks in antiplane elasticity obtained in [16] 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, R.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 6:1(2013), pp. 131-146. [10.3934/dcdss.2013.6.131]

SOME REMARKS ON THE VISCOUS APPROXIMATION OF CRACK GROWTH

2013-01-01

Abstract

We describe an existence result for quasistatic evolutions of cracks in antiplane elasticity obtained in [16] 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.
2013
6
1
131
146
Lazzaroni, Giuliano; Toader, R.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32463
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