Employing the technique of vanishing viscosity and time rescaling, we show the existence of quasistatic evolutions of cracks in brittle materials in the setting of antiplane shear. The crack path is not prescribed a priori and is chosen in an admissible class of piecewise regular sets that allows for branching and kinking.

Quasistatic crack growth based on viscous approximation: a model with branching and kinking / Crismale, Vito; Lazzaroni, Giuliano. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 24:1(2017), pp. 1-33. [10.1007/s00030-016-0426-6]

Quasistatic crack growth based on viscous approximation: a model with branching and kinking.

Crismale, Vito;
2017

Abstract

Employing the technique of vanishing viscosity and time rescaling, we show the existence of quasistatic evolutions of cracks in brittle materials in the setting of antiplane shear. The crack path is not prescribed a priori and is chosen in an admissible class of piecewise regular sets that allows for branching and kinking.
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http://preprints.sissa.it/xmlui/handle/1963/35193
Crismale, Vito; Lazzaroni, Giuliano
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/32602
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