INTERACTION OF AN ELLIPTICAL CAVITY AND A CRACK NEAR BIMATERIALS INTERFACE UNDER INCIDENT SH-WAVES

The SH-waves scattered by an elliptical cavity and a crack (on the same side) near bimaterials interface is studied in this paper, using the methods of Green's function and conformal mapping. The bimaterials is subdivided along the horizontal interface into an elastic half space possessing an elliptical cavity together with a crack and a full elastic half space. A crack is then created in terms of Green’s function combined with “crack-division”, and thus expressions of displacement and stress are derived while the cavity co-exists with the crack. Undetermined anti-plane forces are loaded on the horizontal surfaces for conjunction of two sections, which are then solved by a series of Fredholm integral equations based on continuity conditions of the interface. Finally, the influence of different parameters on dynamic stress concentration factors around the cavity and dynamic stress intensity factors at the crack tip are discussed.