弹性力学中一种新的边界轮廓法  

A NEW BOUNDARY CONTOUR METHOD FOR LINEAR ELASTICITY

作　　者：周慎杰[1] 曹志远[2] 孙树勋[1] 

机构地区：[1]山东工业大学化学工程系工程力学研究所,济南250061 [2]同济大学工程力学系,上海200092

出　　处：《固体力学学报》1999年第4期335-342,共8页Chinese Journal of Solid Mechanics

基　　金：山东省自然科学基金!( 批准号: Q95A0202)

摘　　要：利用基本解的特性,将面力积分方程化成仅含有Cauchy 主值积分的形式.基于这种边界积分方程,提出了一种新的边界轮廓法.对于三维问题,该方法只须计算沿边界单元界线的线积分,对二维问题,则只需计算边界单元两结点的势函数之差,无须进行数值积分计算.Presents a new boundary contour method. This method is based on the traction boundary integral equation. The hypersingular traction boundary integral equation with a strongly singular form is derived. The formulations of the boundary contour method based on this equation is derived for linear elasticity. The implementation for two dimensional problems with quadratic boundary elements is presented. Numerical solutions for illustrative examples are compared with analytical solutions. Numerical results are uniformly accurate.

关 键 词：边界元法 边界轮廓法 弹性力学 

分 类 号：O343[理学—固体力学]