横观各向同性体基本解的一种解

本文引入二维Ｆｏｕｒｉｅｒ变换，将横观各向同性弹性力学基本方程化为一阶线性常微方程组，利用通解得到该方程组的基础解系，引入边界条件，以计算机代数软件完成极其繁琐的推导工作，得到了无限体基本解、半无限体基本解、两个半无限体组合的无限体基本解，这些解都是闭合形式的解析解；同时校正了前人工作中的一些错误。

An efficient method to solve the fundamental solution of transversely isotropic elasticity

n this paper, the dual Fourier transformation is introduced to transform the basic equations of transversely isotropic elasticity into first-order linear ordinary differential equations, the fundamental system of which are obtained from the general solution. For various boundary conditions, the fundamental solutions are derived for the problem of infinite medium, semiinfinite medium, two-phase medium respectively. The closed form of these equations can be found by inverse Fourirer transformation. With the help of computer algebra software, the derivation is completed simply with high reliability. A few of published results are verified as well in the paper.