Dynamic fracture analysis in an orthotropic half-plane with FGM coating containing several moving cracks

Abstract

This paper considers several finite moving cracks in an orthotropic half-plane with non-homogenous coating subjected to anti-plane deformation. The distributed dislocation technique is used to carry out stress analysis in the medium containing moving cracks under anti-plane loading. By utilizing the complex Fourier transformation technique, the stress fields are obtained for an orthotropic half-plane containing a screw dislocation. The Galilean transformation is employed to express the wave equations in terms of coordinates that are attached to the moving crack. Stress fields are derived in the medium under anti-plane point forces. These solutions are Cauchy singular at the location of dislocations and the point of application of forces. The solution is employed to derive integral equations for a half-plane weakened by moving cracks. Numerical results are provided to show the effects of material properties, the crack length and the speed of the crack propagating upon the stress intensity factor.