| Elastic wave theory is a research topic of elastodynamics,which plays an important role in many fields.Since crystals,rocks,composite materials and many other materials have significant anisotropy.Moreover,considering that inclusions usually exists in anisotropic materials,study of elastic propagation in anisotropic materials with inclusions have significant meaning for theory and application.In this article,out-plane shear wave scattering in anisotropic half space by homogeneous and isotropic inclusion is investigated.Two kinds of inclusions(cylindrical inclusion and elliptical inclusion)are considered in this article.Based on elastic wave theory and complex function method,governing equation of SH wave propagation is given and then be transformed by using a pair of mathematical transformation.According to different incident angles,utilizing multi-polar coordinates system and conformal mapping method simultaneously,incident wave,reflected wave(induced by the surface)and scattering wave(induced by the inclusion)are obtained.Subsequently,standing wave in the inclusion is obtained by solving governing equation of SH wave in homogeneous and isotropic medium.By means of continuous conditions at the interface of the inclusion,undetermined coefficients in wave fields are solved.Furthermore,distribution of dynamic stress concentration factor(DSCF)around the inclusion and surface displacement amplitude(SDA)of the anisotropic half space are studie.Finally,influences of different dimensionless factors,such as incident angle,wave number,anisotropic factors and so on,on DSCF and SDA are discussed. |
