An improved exponential transformation for nearly singular boundary element integrals in elasticity problems |
| |
Authors: | Guizhong Xie Jianming ZhangYunqiao Dong Cheng HuangGuangyao Li |
| |
Affiliation: | State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China |
| |
Abstract: | This paper presents an improved exponential transformation for nearly singular boundary element integrals in elasticity problems. The new transformation is less sensitive to the position of the projection point compared with the original transformation. In our work, the conventional distance function is modified into a new form in the polar coordinate system. Based on the refined distance function, an improved exponential transformation is proposed in the polar coordinate system. Moreover, to perform integrations on irregular elements, an adaptive integration scheme considering both the element shape and the projection point associated with the improved transformation is proposed. Furthermore, when the projection point is located outside the integration element, another nearest point is introduced to subdivide the integration elements into triangular or quadrilateral patches of fine shapes. Numerical examples are presented to verify the proposed method. Results demonstrate the accuracy and efficiency of our method. |
| |
Keywords: | Nearly singular integrals Boundary element method Boundary face method The exponential transformation |
本文献已被 ScienceDirect 等数据库收录! |
|