A high order numerical manifold method and its application to linear elastic continuous and fracture problems
文献类型：期刊论文
| 作者 | Yang, YongTao2; Sun, GuanHua2; Cai, KeJian1; Zheng, Hong3 |
| 刊名 | SCIENCE CHINA-TECHNOLOGICAL SCIENCES
 |
| 出版日期 | 2018 |
| 卷号 | 61期号:3页码:346-358 |
| 关键词 | partition of unity based methods numerical manifold method Quad4-COLS (NMM) crack propagation linear dependence |
| ISSN号 | 1674-7321 |
| DOI | 10.1007/s11431-016-9070-8 |
| 英文摘要 | The numerical manifold method (NMM) is a partition of unity (PU) based method. For the purpose of obtaining better accuracy with the same mesh, high order global approximation can be adopted by increasing the order of local approximations (LAs). This, however, will cause the "linear dependence" (LD) issue, where the global matrix is rank deficient even after sufficient constraints are enforced. In this paper, through quadrilateral mesh to form the mathematical cover, a high order numerical manifold method called Quad4-COLS (NMM) is developed, where the constrained and orthonormalized least-squares method (CO-LS) is used to construct the LAs. The developed Quad4-COLS (NMM) does not need extra nodes or DOFs to construct high order global approximations, while is free from the LD issue. Nine numerical tests including five tests for linear elastic continuous problems and four tests for linear elastic fracture problems are carried out to validate the accuracy and robustness of the proposed Quad4-COLS (NMM). |
| WOS研究方向 | Engineering ; Materials Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000426590800003 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/4236]  |
| 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.NingBo Univ Technol, Sch Civil & Transportat Engn; 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ; 3.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ |
| 推荐引用方式 GB/T 7714 | Yang, YongTao,Sun, GuanHua,Cai, KeJian,et al. A high order numerical manifold method and its application to linear elastic continuous and fracture problems[J]. SCIENCE CHINA-TECHNOLOGICAL SCIENCES,2018,61(3):346-358. |
| APA | Yang, YongTao,Sun, GuanHua,Cai, KeJian,&Zheng, Hong.(2018).A high order numerical manifold method and its application to linear elastic continuous and fracture problems.SCIENCE CHINA-TECHNOLOGICAL SCIENCES,61(3),346-358. |
| MLA | Yang, YongTao,et al."A high order numerical manifold method and its application to linear elastic continuous and fracture problems".SCIENCE CHINA-TECHNOLOGICAL SCIENCES 61.3(2018):346-358. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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