Multiple Moving Cracks in a Non-Homogeneous Orthotropic Plane

In this paper, a theoretical study of the behavior of multiple moving cracks in a non-homogeneous orthotropic plane under anti-plate deformation is presented. Material properties of the functionally graded (FG) orthotropic plane are assumed to vary exponentially in the y-direction. First, the distributed dislocation method is used to perform stress analysis, and the Galilean transformation is used to express the wave equations in terms of the coordinates attached to the moving crack. Then, the solution of the moving screw dislocation in the non-homogeneous orthotropic plane is obtained using the Fourier transform and shows that the stress components have the familiar Cauchy singularity at the location of dislocation. The solution is employed to derive integral equations for a non-homogeneous orthotropic plane weakened by multiple moving cracks. Numerical calculations are performed to show the effects of material properties and the cracks propagating velocity on the dynamic stress intensity factors of crack tips.