双相介质中椭圆孔洞与裂纹对SH波的散射

采用Green函数法和保角映射法解答了双相介质界面附近一个椭圆孔洞和一个裂纹(在同一侧)对SH波的散射问题。沿水平界面将双相介质剖分为一个含椭圆孔和裂纹的半空间以及一个完整的弹性半空间。结合“裂纹切割”法,利用Green函数法构造裂纹,求解出孔洞与裂纹同时存在时的位移和应力表达式。一组未知力系施加在水平界面上,使两部分契合,基于界面连续条件推导出一系列Fredholm积分方程组,从而求出未知力系。最后,给出算例讨论了不同参数对椭圆孔周边动应力集中系数和裂纹尖端动应力强度因子的影响。

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.