期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 51, 期 6, 页码 1322-1329出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2013.12.020
关键词
Nearly singular integrals; Boundary element method; Boundary face method; The exponential transformation
类别
资金
- National Science Foundation of China [11172098]
- National 973 Project of China [2010CB328005]
- Hunan Provincial Natural Science Foundation for Creative Research Groups of China [12JJ7001]
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. (C) 2013 Elsevier Ltd. All rights reserved.
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