A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures
文献类型：期刊论文
| 作者 | Li, Wei4,5; Yu, Xianbin5; Lin, Shan2,3; Qu, Xin1; Sun, Xizhen5 |
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 2021 |
| 卷号 | 134页码:79-95 |
| 关键词 | Numerical manifold method Moving least squares Numerical integration Stress intensity factor Crack propagation |
| ISSN号 | 0955-7997 |
| DOI | 10.1016/j.enganabound.2021.09.028 |
| 英文摘要 | The meshless numerical manifold method (MNMM) inherits two covers of the numerical manifold method. A mathematical cover is composed of nodes' influence domains and a physical cover consists of physical patches, which are produced through cutting mathematical cover by physical boundaries. Because two covers are adopted, MNMM can naturally and uniquely solve both the continuous and discontinuous problems under Galerkin's variational framework. However, Galerkin's meshless method needs background integration grids to realize solving, which often does not match the nodes' influence domains, so the accuracy of numerical integration is reduced. Consider that MNMM allows even distribution of nodes and the physical cover contains the characteristics of the boundary and nodes' influence domains, the study presents a new numerical integration strategy to ensure that the background integration grids match the nodes' influence domains. The method can be applied to continuous and discontinuous problems, and is proved to be equivalent to the influence domain integration. At the same time, a reasonable arrangement of mathematical nodes is made to assure the background integration grid that it is accordant and straightforward. In this way, the number of physical patches of each integral point is the same, which improves the accuracy of interpolation calculation. The effectiveness of the proposed method is verified by numerical examples of both continuous and discontinuous problems. |
| 资助项目 | National Natural Science Foundation of China[11902134] ; National Natural Science Foundation of China[51904149] ; Youth Natural Science Foundation of Shandong Province[ZR2020QD126] ; Youth Natural Science Foundation of Shandong Province[ZR2019BEE013] ; Open Research Fund of the State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, and Chinese Academy of Sciences[Z019008] |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000714606900007 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/28344]  |
| 专题 | 中科院武汉岩土力学所 |
| 通讯作者 | Lin, Shan |
| 作者单位 | 1.Anyang Inst Technol, Sch Civil & Architecture Engn, Anyang 455000, Peoples R China 2.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China 3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China 4.Linyi City Key Lab Appraisement & Strengthening B, Linyi 276000, Shandong, Peoples R China 5.Linyi Univ, Sch Civil Engn & Architecture, Linyi 276000, Shandong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Wei,Yu, Xianbin,Lin, Shan,et al. A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2021,134:79-95. |
| APA | Li, Wei,Yu, Xianbin,Lin, Shan,Qu, Xin,&Sun, Xizhen.(2021).A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,134,79-95. |
| MLA | Li, Wei,et al."A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 134(2021):79-95. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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