Désordre du front d'une fissure semi-infinie d'interface

Abstract

The aim of this paper is to study, within the framework of brittle fracture mechanics, the coplanar deformation of a semi-infinite plane crack, lying between two different isotropic elastic media , supposing random interface rupture properties. Various types of cyclic loadings are considered. Calculations are based on the paper of Lazarus and Leblond (1998) which extended the three-dimensional weight functions theory of Bueckner (1987) and Rice (1985) to the case of an interface crack and gave, to the first order, the variation of the energy restitution rate due to a small inplane disturbance of the front. It allows to quantify the evolution of the disorder of the initial straight crack front by calculating various mathematical quantities related to the function of autocorrelation of the perturbation. The results are compared with the case of a crack in an homogeneous medium and the dependance toward the type of loading is emphasized.