平面弹性力学问题边界元直接法中边界积分的解析处理  

Analytical treatment of boundary integrals in direct boundary element analysis for plane elasticity problem

作　　者：张耀明[1] 

机构地区：[1]山东工程学院数理系,淄博255012

出　　处：《纯粹数学与应用数学》2001年第1期28-34,共7页Pure and Applied Mathematics

摘　　要：确立平面位势和弹性力学问题的边界元直接法中边界积分的解析计算框架系统 ,从而避免了传统的高斯近似求积分 .数值算例表明它具有较高的精度和效率 .An analytical scheme, which avoids to using the standard Gaussian approximate quadrature to treat the boundary integrals in direct boundary element method (DBEM) of twodimensional potential and elastic problems, is established. With some numerical results, it is shown that the better precision and high computational efficiency, especially in the band of the domain near boundary, can been derived by the present scheme.

关 键 词：弹性问题 解析法 边界元 解析公式 直接变量 边界积分方程 平面弹性力学 

分 类 号：O343.1[理学—固体力学]