Interaction of elastic waves by an interfacial Griffith crack

A study is made of the problem of finding the distribution of stress field in the vicinity of a Griffith crack located at the interface of two dissimilar orthotropic half-planes. The crack is opened by the interaction of a plane harmonic elastic wave incident normally on the crack. The Fredholm integral equation is derived for the determination of diffraction wave field. The problem is then reduced to a pair of simultaneous singular integral equations which are solved by using the Jacobi polynomials. An expression for the stress intensity factors is obtained in the end.