TY - JOUR T1 - Energy release rate and quasi-static evolution via vanishing viscosity in a fracture model depending on the crack opening JF - ESAIM: Control, Optimisation and Calculus of Variations Y1 - 2017 A1 - Stefano Almi AB -

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.

PB - EDP Sciences VL - 23 UR - https://www.esaim-cocv.org/component/article?access=doi&doi=10.1051/cocv/2016014 ER -