The CPCT based CBIE and HBIE for potential problems in three dimensions
文献类型：期刊论文
| 作者 | Jiang, Quan1; Lv, Jia-He1; Feng, Xia-Ting1 ; Chen, Bing-Rui1; Guo, Hao-Sen2
|
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 2016 |
| 卷号 | 67页码:53-62 |
| 关键词 | Boundary element method Singular integrals Nearly singular integrals Singularity subtraction method Conformal polar coordinate transformation Sigmoidal transformation |
| ISSN号 | 0955-7997 |
| DOI | 10.1016/j.enganabound.2016.03.012 |
| 英文摘要 | In this paper, the authors present a more efficient and robust implementation of conventional and hypersingular BlEs for potential problems in three dimensions under the framework of boundary face method (BFM). The focus is laid on the accurate evaluation of singular curved surface integrals, and three aspects related are considered simultaneously: (a) the near singularity caused by distorted element shape; (b) the near singularity derived from the angular direction; (c) the singularity in the radial direction. A conformal polar coordinate transformation (CPCT) is employed to eliminate the shape effect of distorted integration cells, which can retain the shape characteristic. Besides, an improved sigmoidal transformation is introduced to alleviate the near singularity in the angular direction. By combination of the two strategies with previous singularity subtraction method, an efficient numerical integration scheme has been obtained for various orders of singularities. Some numerical examples including parallelogram plate, sphere and hollow cylinder examples with coarse meshes are presented to demonstrate the accuracy and flexibility of the proposed method. (C) 2016 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000375506300005 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3876]  |
| 专题 | 岩土力学所知识全产出_期刊论文 岩土力学所知识全产出 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ; 2.Northeastern Univ, Sch Resources & Civil Engn |
| 推荐引用方式 GB/T 7714 | Jiang, Quan,Lv, Jia-He,Feng, Xia-Ting,et al. The CPCT based CBIE and HBIE for potential problems in three dimensions[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2016,67:53-62. |
| APA | Jiang, Quan,Lv, Jia-He,Feng, Xia-Ting,Chen, Bing-Rui,&Guo, Hao-Sen.(2016).The CPCT based CBIE and HBIE for potential problems in three dimensions.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,67,53-62. |
| MLA | Jiang, Quan,et al."The CPCT based CBIE and HBIE for potential problems in three dimensions".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 67(2016):53-62. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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