位移场的边界积分表达式

THE BOUNDARY INTEGRAL EQUATION OF DISPLACEMENT FIELD

本文以平面及空间的Kelvin问题和Cauchy公式为基础,推出了位移基本解张量U_(ij)和面力张量T_(ij),然后利用Betti互等定理以边界积分形式给出了弹性位移公式,它是固体力学一个十分有用的求解方法。

Based on the planar and spatial Kelvin's problem and Cauchy formula , this paper infers the basic displacement solution tensor Uij as well as surficial force tensor Tij, and then expresses the displacement formulas of elastic body in terms of boundary integration with Betti's principle . The formula is very useful for solving problems in solid mechanics .