Calculus of Variations and Geometric Measure Theory
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S. Almi

Energy release rate and quasi-static evolution via vanishing viscosity in a fracture model depending on the crack opening

created by almi on 12 Feb 2015
modified on 30 Mar 2016

[BibTeX]

ESAIM: COCV

Inserted: 12 feb 2015
Last Updated: 30 mar 2016

Year: 2015

Abstract:

In the setting of planar linearized elasticity, we study a fracture model depending on the crack opening. Assuming that the crack path is known a priori and sufficiently smooth, we prove that the energy release rate is well defined. Then, we consider the problem of quasi-static evolution for our model. Thanks to a vanishing viscosity approach, we show the existence of such an evolution satisfying a weak Griffith’s criterion.


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