横观各向同性体的轴对称弹性动力学方程的推导

通过复变函数论的方法，对横观各向同性体的轴对称弹性动力学方程进行推导．对具有任意的自相似指数的轴对称动力学问题进行自相似求解，导出解析解的一般表示．使得考虑的问题相应地简化并具有一定的普遍性，因此，对自相似形式的解的推导具有重要的意义．

Deduction of axially symmetric elastodynamics equations for transversely isotropic body

By the method of theory of complex functions, elastodynamics equations on axial symmetry for transversely isotropic body were deduced. Axisymmetric dynamics problems with arbitrary index of self-similarity are solved by the ways of self-similarity, and the general representations of the analytical solutions are deduced. The considered problems become considerably simple and possess an evident universality, hence deduction of self-similar solutions has significance.