采用解析积分的常单元边界元法

Boundary Element Method of Constant Elements Using Analytical Integrals

本文采用一种在局部坐标系中的解析式来计算常边界单元及内点应力的方法,推导了常单元的积分解析式,并对若干典型例子进行了分析和讨论。算例结果表明,采用本文的方法,能获得较高的精度,尤其在计算应力集中区的应力及靠近边界的内点应力时,效果更为显著。

An analytical formula in local coordinate system is used in the paper to calculate constant boundary elements and inner point stresses. Analytic formulae of constant elements are derived. Several typical examples are discussed and analysed. The results show that better numerical precision can be got by the method given in the paper. The effect is especially significant in the calculations of the stresses in the field of concentrated stresses