A high order local approximation free from linear dependency with quadrilateral mesh as mathematical cover and applications to linear elastic fractures
文献类型：期刊论文
| 作者 | Zheng, Hong2; Xu, Dongdong1,3; Yang, Yongtao1; Wu, Aiqing3 |
| 刊名 | COMPUTERS & STRUCTURES
 |
| 出版日期 | 2017 |
| 卷号 | 178页码:1-16 |
| 关键词 | Partition of unity based methods Numerical manifold method Local approximation Linear dependency issue |
| ISSN号 | 0045-7949 |
| DOI | 10.1016/j.compstruc.2016.10.001 |
| 英文摘要 | The numerical manifold method falls into the category of the partition of unity methods. In order to enhance accuracy, high order polynomials can be specified as the local approximations. This, however, would incur rank deficiency of the stiffness matrix. In this study, a local displacement approximation is constructed over a physical patch generated from a four quadrilateral mathematical mesh. All the degrees of freedom are physically meaningful. The stresses are continuous at all nodes, suggesting that no stress polish is required. The proposed approximations have the same accuracy as the first-order polynomials, but no linear dependency inherent in the latter. (C) 2016 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000389285800001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3969]  |
| 专题 | 岩土力学所知识全产出_期刊论文 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.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn 3.Yangtze River Sci Res Inst, Minist Water Resources, Key Lab Geotech Mech & Engn ; |
| 推荐引用方式 GB/T 7714 | Zheng, Hong,Xu, Dongdong,Yang, Yongtao,et al. A high order local approximation free from linear dependency with quadrilateral mesh as mathematical cover and applications to linear elastic fractures[J]. COMPUTERS & STRUCTURES,2017,178:1-16. |
| APA | Zheng, Hong,Xu, Dongdong,Yang, Yongtao,&Wu, Aiqing.(2017).A high order local approximation free from linear dependency with quadrilateral mesh as mathematical cover and applications to linear elastic fractures.COMPUTERS & STRUCTURES,178,1-16. |
| MLA | Zheng, Hong,et al."A high order local approximation free from linear dependency with quadrilateral mesh as mathematical cover and applications to linear elastic fractures".COMPUTERS & STRUCTURES 178(2017):1-16. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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