Dynamic Interaction of Two Parallel Penny-Shaped Cracks in a Layered Composite under the Incidence of Torsional Impact Wave

Abstract

This paper deals with the dynamic interaction of two parallel penny-shaped cracks in a layered composite under the incidence of torsional impact wave. The delay of arrival time of the incident wave and the reflected waves between two interfaces are considered in this study. Laplace and Hankel transforms are used to formulate the problem as the solution of a set of simultaneous dual integral equations. The simultaneous dual integral equations are reduced to simultaneous Fredholm integral equations of the second kind, whose solution are obtained by utilizing the Gauss's formula. A numerical Laplace inversion routine is used to recover the time variation of the solution. The dynamic stress intensity factors are obtained for several values of time, material constants and geometric parameters.