Calculus of Variations and Geometric Measure Theory

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



Inserted: 12 feb 2015
Last Updated: 30 mar 2016

Year: 2015


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.