THEORETICAL RELATIONS OF BOUNDARY DISPLACEMENT DERIVATIVES AND TRACTIONS AT SINGULAR BOUNDARY POINT FOR 2D ISOTROPIC ELASTIC PROBLEMS

作     者：Zailiang Li Cheng Wang 

作者机构：Digital Engineering and Simulation Research Center School of Hydropower and Digitalization Engineering Huazhong University of Science ＆ Technology Wuhan 430074 China 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2008年第21卷第5期

页      面：389-402页

核心收录：

学科分类：07[理学] 0824[工学-船舶与海洋工程] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：boundary displacement and traction discontinuity of the first kind weak singularity boundary element method 

摘      要：Although boundary displacement and traction are independent field variables in boundary conditions of an elasticity problem at a non-singular boundary point, there exist definite relations of singularity intensities between boundary displacement derivatives and tractions at a singular boundary point. The analytical forms of the relations at a singular smooth point for 2D isotropic elastic problems have been established in this work. By using the relations, positions of the singular boundary points and the corresponding singularity intensities of the unknown boundary field variables can be determined a priori. Therefore, more appropriate shape functions of the unknown boundary field variables in singular elements can be constructed. A numerical example shows that the accuracy of the BEM analysis using the developed theory is greatly increased.