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间接边界元法解弹性力学平面问题
引用本文:徐汉忠.间接边界元法解弹性力学平面问题[J].河海大学学报(自然科学版),1987(4).
作者姓名:徐汉忠
作者单位:河海大学工程力学系
摘    要:本文将虚荷载作用在所研究区域外的附设边界上来解弹性力学平面问题,该附设边界是由原问题的边界单元沿其外法线方向推到一定的距离.这样做不但可避免奇异积分,而且还能大大提高计算精度.文中对提高精度的原因进行了理论分析,并给出了算例.

关 键 词:边界元法  间接法  虚应力法  虚荷裁法  附设边界

Indirect Boundauy Element Method for Two Dimensional Elasticity Problems
Xu Hanzhong.Indirect Boundauy Element Method for Two Dimensional Elasticity Problems[J].Journal of Hohai University (Natural Sciences ),1987(4).
Authors:Xu Hanzhong
Institution:Xu Hanzhong
Abstract:In this paper the fictitious stresses are applied to the auxiliary boundary for solving two dimensional elasticity problems, The auxiliary boundary is obtained by moving the original bounadry elements outwards for a certain distance along their normals. In this way improper integrals are avoided and accuracy is improved. The reasons for improving accuracy and numerical example are given.
Keywords:boundary element method  indirect method  fictitious stress method  fictitious load method  auxiliary boundary
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