土木工程与管理学报2017，Vol.34Issue(6)：51-56,6.
裂纹问题双边界元法中奇异积分保形变换计算方法
Conformal Transformation Method for the Evaluation of Singular Integrals Arising in Dual BEM for Crack Problems
摘要
Abstract
Fracture is one of the common civil engineering components damage form, also be the difficulty in the computational mechanics. For crack problems, the boundary element method ( BEM) inhibits individual advantage over the conventional finite element method ( FEM ) . The sub-region method and the dual boundary element method ( DBEM) is widely used currently. In order to avoid the appearance of ill-conditioned matrix, the DBEM employs the displacement boundary integral equation on one crack surface and the traction boundary integral equation on the other crack surface, resulting in various orders of singular integrals. In this paper, on the basis of the original singularity subtraction method, the conformal transformation is introduced to eliminate the inaccuracy caused by the element shape during the evaluation of singular integrals. Numerical examples show that the proposed method can obviously reduce the total number of Gaussian points, and is feasible to coarse meshes.关键词
断裂力学/双边界元法/奇异积分/保形变换Key words
fracture mechanics/dual boundary element method/singular integrals/conformal transformation分类
建筑与水利引用本文复制引用
汪文桥,胡泉光,吕加贺,陈炳瑞..裂纹问题双边界元法中奇异积分保形变换计算方法[J].土木工程与管理学报,2017,34(6):51-56,6.基金项目
国家自然科学基金(51479192 （）
41272347) （）
