应用功的互等定理推导不连续位移基本解

不连续位移基本解在边界元法中得到了广泛的应用,本文应用功的互等定理推导了该基本解,指出了开尔文解中的某些应力分量就是不连续位移基本解中某些位移分量的一般规律.这种推导方法不但十分简单而且可以推广到各种区域的不连续位移基本解的推求.

Derivation of Displacement Discontinuity Fundamental Solution by Reciprocal Theorem

The displacement discontinuity fundamental solution is widely used in boundary element method. In this paper the solution is obtained by the reciprocal theorem and the relation between the displacement discontinuity fundamental solution and kelvin' s fundamental solution is pointed out. This derivation is very simple and can also be applied to obtain other displacement discontinuity undamental solutions in different regions.