平面问题等价边界积分方程的三次边界轮廓法  

THE BOUNDARY CONTOUR METHOD WITh CUBIC ELEMENTS BASED ON EQUIVALENT BIE FOR 2-D PROBLEMS

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,济南250061 [2]同济大学,上海200092

出　　处：《上海力学》1999年第2期166-172,共7页Chinese Quarterly Mechanics

摘　　要：基于弹性力学平面问题等价的边界积分方程,给出了三次单元的边界轮廓法。根据平面问题解的复变函数表示,构造了三次形函数。给出了对于混合边值问题求解系统方程确定的边界轮廓方程配置和三次单元边界轮廓法的实施。实例计算表明该方法是有效的。This paper concerns the boundary contour method ( BCM) of 2-D elastic problems. This method is based on the equivalent boundry integral equation. The cubic shape functions are used and numerical implementation is presented. The mixed collocation of the formulations of the BCM is presented for the mixed boundary value problems. The present method is shown to give excellent results.

关 键 词：边界轮廓法 边界元 边界积分方程 弹性力学 

分 类 号：O343[理学—固体力学] TB115[理学—力学]