Stress intensity factor for a crack normal to an interface between two orthotropic materials

Abstract

In this paper, the problem of a crack normal to an interface in two joined orthotropic plates is studied as a plane problem. Body force method is used to investigate dependence of the stress intensity factor on the elastic constants: E x1, E y1, G xy1, V xy1 for material 1 and E x2, E y2, G xy2, V xy2 for material 2. A particular attention is paid to simplifying kernel functions, which is used in the body force method, so that all the elastic constants involved can be represented by three new parameters: H 1, H 2I, H 3 for the mode I deformation and H 1, H 2II, H 3 for the mode II deformation. From the kernel function so obtained it is found that the effects of the eight elastic constants on the stress intensity factors can be expressed by the three material parameters, H 1, H 2I, H 3 and H 1, H 2II, H 3, respectively for K I and K II. Furthermore, it is also found that the dependence of K I on H 1, H 2I, H 3 is exactly the same as the dependence of K II on H 1, H 2II, H 3.