横观各向同性体的轴对称弹性动力学方程的推导

Deduction of axially symmetric elastodynamics equations for transversely isotropic body

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.

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 serf-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.