Efficient evaluation of integrals with kernel 1/r(chi) for quadrilateral elements with irregular shape
文献类型：期刊论文
| 作者 | Jiang, Quan; Lv, Jia-He; Feng, Xia-Ting ; Yan, Fei
|
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 2015 |
| 卷号 | 61页码:33-41 |
| 关键词 | Singular integral Nearly singular integrals Polar coordinate transformation Conformal polar coordinate transformation Sigmoidal transformation |
| ISSN号 | 0955-7997 |
| DOI | 10.1016/j.enganabound.2015.06.010 |
| 英文摘要 | In this paper, integrals with kernel 1/r(chi) are concerned with the following three aspects; a). the near singularity caused by distorted element shape; b). the near singularity derived from the angular direction; c). the singularity/near singularity in the radial direction. A conformal polar coordinate transformation (CPCT) is proposed to eliminate the shape effect of elements, which can keep the shape characteristic of distorted elements, and an improved sigmoidal transformation is introduced to alleviate the near singularity in the angular direction. By combination of the two strategies with existing methods, such as singularity subtraction method and distance transformation method utilized in this paper, an efficient and robust numerical integration approach can be obtained for various orders of singular/nearly singular integrals, and a distorted curved quadrilateral element extracted from a cylinder surface is provided to demonstrate the efficiency and robustness of the proposed method. (C) 2015 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000362308700004 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3782]  |
| 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 | Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn |
| 推荐引用方式 GB/T 7714 | Jiang, Quan,Lv, Jia-He,Feng, Xia-Ting,et al. Efficient evaluation of integrals with kernel 1/r(chi) for quadrilateral elements with irregular shape[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2015,61:33-41. |
| APA | Jiang, Quan,Lv, Jia-He,Feng, Xia-Ting,&Yan, Fei.(2015).Efficient evaluation of integrals with kernel 1/r(chi) for quadrilateral elements with irregular shape.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,61,33-41. |
| MLA | Jiang, Quan,et al."Efficient evaluation of integrals with kernel 1/r(chi) for quadrilateral elements with irregular shape".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 61(2015):33-41. |
入库方式： OAI收割
来源：武汉岩土力学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。