两相材料空间问题基本解的显式张量表示<sup>*</sup>

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两相材料空间问题基本解的显式张量表示^*

基金项目: * 国家自然科学基金;博士点基金

Department of Engineering Mechanics, Shanghai JiaotongUniversity, Shanghai 200030, P. R. China

摘要: 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.
- 三维两相材料 /
- 集中力基本解 /
- 张量表达式
Abstract: In this paper, by using the method of tensor operation, the fundamental solutions,given in the references listed, for a concentrated force in a three-dimensional biphaseinfinite solid were expressed in the tensor form, which enables them to be directly appliedto the boundary integral equation and the boundary element method for solving elasticmechanics problems of the bimaterial space. The fundamental solutions for Mindlin'sproblem, Lorentz's problem and homogeneous space problem ore involved in the present results.
- three-dimensional bimaterial /
- fundamental solution of a concentratedforce /
- tensor expression

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