滑动界面球形夹杂对平面压缩波的散射

Scattering of Plane Compressional Waves by a Sliding Spherical Inhomogeneity

非理想粘结界面对多相材料力学性能的影响日益受到重视。本文研究了无限各向同性基体中的滑动界面球形单夹杂对平面压缩波的散射问题。夹杂与基体间的界面为非理想粘结界面,在剪应力的作用下将出现界面两侧相对滑移。假定界面相对滑动位移与界面剪应力成正比,在这种线弹簧型滑动界面条件下,通过波函数的级数展开法,获得了夹杂在基体中反射波和折射波以及应力场的解析表达式,并讨论了界面自由滑动和刚性夹杂等特例。

The effect of imperfectly bonded interface on the mechanical behavior of multiphase materials has attracted more and more attentions. This paper studies the scattering of plane compressional waves by a spherical inhomogeneity with a sliding interface embedded in an infinite homogenous media. The interface has relative sliding displacement under shear. The interface is modeled by a linear spring assuming that the interfacial shear stress is proportional to the interfacial sliding displacement. Using series expansion method we obtain an analytical solution to the displacement potentials of the reflected and refracted waves as well as the stress fields in the inhomogeneity and the matrix. Results of some special cases such as the cases of free sliding interface and rigid inclusion are then discussed.