两相材料空间问题基本解的显式张量表示*

本文应用张量运算将文献中的三维两相无限体的集中力基本解表示为张量形式,从而使其能够直接用于边界积分方程和边界元方法,以分析两相材料空间弹性力学问题.本文结果包括了Mindlin问题、Lorentz问题和均质体空间问题的基本解.

An Explicit Tensor Expression for the Fundamental Solutions of a Bimaterial Space Problem

In this paper, by using the method of teds or operation, the fundamental solutions, given in the references listed, for a concentrated force in a three-dimensionalbiphase-infinite solid were expressed in the tensor form, which enables them tobe directly applied to the boundary integral equation and the boundary elementmethod for solving elastic mechanics problems of the bimaterial space. The fundamental solutions for Mindlin's problem, Lorentz's problem and homogeneousspace problem are involved in the present results.