横观各向同性材料轴对称问题基本解

Fundamental Solutions for Axisymmetric Problems of Transversely Isotropic Materials

从横观各向同性材料的基本解出发,用积分的方法得到了轴对称问题的基本解,对于材料特征根Si 互不相等或相等的两种可能情形都给出了表达式,因此,可直接退化得到各向同性材料轴对称问题基本解。

Based on the three dimensional fundamental solutions for transversely isotropic material, the fundamental solutions for axisymmetric problems are derived by integration for the cases that the characteristic roots, s i are equal or not. The fundamental solution presented in this paper is convenient when numerical results are required and the expressions are simple. The fundamental solutions for axisymmetric problems of isotropic material are obtained through degeneration of the fundamental solutios for transversely isotropic material.