Tanuma利用Stroh理论寻找出本构关系为Cijkl的、适用于静力问题的表面阻抗张量.本文引入四阶张量Cijkl代替材料本构关系Cijkl,将波传播的动力问题转变成静力问题,把关于Rayleigh波的本征值和本征向量的计算问题转变成表面动力阻抗张量的积分计算问题,用积分法求出包含波传播速度的表面动力阻抗张量,并利用该表面动力阻抗张量求出各向同性材料的Rayleigh波的传播速度.
Tanuma used Stroh' s theory to find a static surface impendance tensor on the constitutive relation . By introducing it to replace the constitutive relation, we transform the dynamic problem of wave propagation to a static problem. We use an integral method to obtain the dynamic surface impendance tensor, which avoids the complicated computation on eigenvalues and eigenvectors. We give a dynamic surface impendance with Rayleigh wave velocity. Using the dynamic surface impendance tensor, we obtain the propagation velocity of Rayleigh wave in an isotropic material.