A numerical finite fracture mechanics approach on asymmetric cracks in open-hole plates

Abstract

Using an efficient numerical approach, a model rendering the initiation of asymmetric crack patterns in open-hole plates subject to combined tensile and in-plane bending loading is presented. In the framework of finite fracture mechanics a stress and an energy criterion are enforced simultaneously and used as a coupled condition for the formation of cracks of finite size. Using closed-form expressions for the dependence of the stress and energy quantities needed to solve the coupled criterion on the structural and material parameters, only a limited number of linear elastic finite element analyses is required for a comprehensive analysis of the notched plate. The failure load predictions of the presented model are shown to agree well with experimental results and predictions of a cohesive zone model. The finite fracture mechanics approach allows for a study of crack patterns associated to failure.