摘要
文章通过弹性力学问题的基本解将域内微分方程变换成边界上的积分方程,然后在边界上离散;由已知边界位移和边界应力直接求出未知边界位移和边界应力,并得出据以计算整个问题域的位移场和应力场。最后运用此方法求解一个弹性力学问题并与有限元法的计算结果进行了比较。
This paper transforms differential equation of elasticity mechanics to integral equation over the boundary through basic solution of elasticity problem. Unknown displacement and stress field may be determined by known boundary condition. At last, this method is applied to compute an elasticity problem and its result is compared to one determined by finite element method.