Transient Behavior of Multiple Interface Cracks in Two Non-Homogeneous Half-Layers

Abstract

In this paper, the analytical solution of two dissimilar orthotropic functionally graded half-layers with interface Volterra-type screw dislocation under anti-plane transient loading is studied using linear elasticity theory. The energy loss is displayed by viscous damping, and the rate of gradual alteration of elastic stiffness, damping constant and mass density of two dissimilar non-homogeneous half-layers are modeled with exponential law. In the first stage, a single dislocation, Laplace and Fourier transform are applied to obtain the stress components with simple Cauchy kernel in the interface of the layers. Then, by means of the image method, the stress fields are derived in the interface of two half-layers. The dynamic stress intensity factors (DSIFs) are calculated in time domain by using numerical Laplace inversion and the distributed dislocation technique. Eventually, various examples are reported to demonstrate the effects of the crack length, cracks location, geometrical parameters, material specifications, viscous damping and the interaction of cracks on the DSIFs.