斜射 Rayleigh 面波在粘弹性界面上的反射和透射

Reflection and Transmission of Obliquely Incident Rayleigh Surface Waves by a Visco elastic Interphase

研究了由相同或不同材料所构成的两个四分之一空间的粘弹性界面上斜射Ｒａｙｌｅｉｇｈ面波的反射与透射．界面的力学性质用一薄粘弹性层表示，通过空间格林函数方法，将三维问题化为二维问题处理，导出了求解该问题的奇异积分方程，采用边界元法进行数值求解，得到了反射系数Ｒ与透射系数Ｔ，结果用弹性常数的可选值、界面参数Ｒａｙｌｅｉｇｈ面波的入射角表示．

Reflection and transmission of obliquely incident Rayleigh surface waves by an interphase between two quarter spaces of identical of different materials have been investigated.The mechanical behavior of the interphase is represented by a thin visco elastic layer.By using the full space Green′s functions due to a spatially harmonic line load,the mathematical statement of three dimension problem is reduced to a two dimension system of singular integral equations.The far field behavior of the scattered waves leads to the definition of reflection and transmission coefficients,R and T.The system of the singular integral equations is solved for R and T using boundary element method.Results are expressed by selected values of the elastic constants of the joined quarter spaces,the parameters of the interphase and the incident angles of Rayleigh surface waves.