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.

%B ESAIM: Control, Optimisation and Calculus of Variations %I EDP Sciences %V 23 %P 791–826 %8 05/2017 %G eng %U https://www.esaim-cocv.org/component/article?access=doi&doi=10.1051/cocv/2016014 %R 10.1051/cocv/2016014