Some remarks on the viscous approximation of crack growth

Giuliano Lazzaroni; Rodica Toader

doi:10.3934/dcdss.2013.6.131

Article Contents

2013, Volume 6, Issue 1: 131-146. Doi: 10.3934/dcdss.2013.6.131

This issue Previous Article Local minimality and crack prediction in quasi-static Griffith fracture evolution Next Article Crack propagation by a regularization of the principle of local symmetry

Some remarks on the viscous approximation of crack growth

Giuliano Lazzaroni^1, and
Rodica Toader^2,

1.
Universität Würzburg, Institut für Mathematik, Emil-Fischer-Straße 40, 97074 Würzburg
2.
Università degli Studi di Udine, DIMI, Via delle Scienze 206, 33100 Udine

Received: May 2011

Revised: September 2011

Published: February 2013

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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.

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Mathematics Subject Classification: 35R35, 35Q74, 74R10, 74G70, 74G65, 49J45, 35A35.

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