Non-local failure and damage evolution rule:: Application to a dilatant crack model

A non-local crack propagation and damage evolution criteria were discussed in detail by the authors in [13-15] and applied to predict crack initiation from sharp notches and damage accumulation for complex cyclic loading programs. In the present paper the non-local condition is applied to the case of a cracked body subjected to compression and shear tractions inducing frictional slip and dilatancy at crack interfaces. The crack propagation directions with critical loading conditions are obtained taking into account the crack asperity interaction and dilatancy induced by slip. The material strength and compliance variation Mn be predicted from the model.