Scattering Of SH-Wave By An Interface Cylindrical Elastic Inclusion With Diametrical Cracks

The scattering problems of SH-waves by circular elastic inclusion with diametrical cracks in homogenous medium as well as interface circular elastic inclusion with diametrical cracks are studied by using the Green function method in this paper. For the model of circular elastic inclusion with diametrical cracks in homogenous medium, the solutions of dynamic stress intensity factors at crack tip are obtained, and for the model of interface circular elastic inclusion with diametrical cracks, the solutions of dynamic stress intensity factors at crack tip and far field are obtained. The Green function is an essential solution of displacement field for an elastic half space with a half cylindrical inclusion impacted by out-plane harmonic line source loading at horizontal surface. The model of the problem is composed of two half spaces with half cylindrical inclusion. Horizontal surfaces of the two half spaces are loaded with undetermined anti-plane forces in order to satisfy continuity conditions at linking section, or with some certain forces to appear cracks. A series of Fredholm integral equations of the first kind for determining the unknown forces can be set up through continuity conditions that expressed by use of the Green function. When the solutions of dynamic stress intensity factors are considered, the added force at crack tip can be replaced by expression including dynamic stress intensity factor, then the integral equations for determining the unknown forces can be transformed into algebraic equations and solved numerically. When the solutions of far field are considered, displacement mode of scattered wave at far field and scattering cross-section are deduced basing the integral equations for determining the unknown forces. At last, some examples and numerical results are illustrated. The influences of wave number, incident wave angle, geometric feature size and combination of different media parameters upon solutions of dynamic stress intensity factors and far field are discussed.