Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems
文献类型：期刊论文
| 作者 | Zheng, Hong1,2; Liu, Zhijun2; Ge, Xiurun2 |
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 2013 |
| 卷号 | 95期号:9页码:721-739 |
| 关键词 | numerical manifold method mathematical cover physical cover Kirchhoff's thin plate theory Zienkiewicz's plate element |
| ISSN号 | 0029-5981 |
| DOI | 10.1002/nme.4515 |
| 英文摘要 | For second-order problems, where the behavior is described by second-order partial differential equations, the numerical manifold method (NMM) has gained great success. Because of difficulties in the construction of the H-2-regular Lagrangian partition of unity subordinate to the finite element cover; however, few applications of the NMM have been found to fourth-order problems such as Kirchhoff's thin plate problems. Parallel to the finite element methods, this study constructs the numerical manifold space of the Hermitian form to solve fourth-order problems. From the minimum potential principle, meanwhile, the mixed primal formulation and the penalized formulation fitted to the NMM for Kirchhoff's thin plate problems are derived. The typical examples indicate that by the proposed procedures, even those earliest developed elements in the finite element history, such as Zienkiewicz's plate element, regain their vigor. Copyright (C) 2013 John Wiley & Sons, Ltd. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000322583300001 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3488]  |
| 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.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn ; 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn |
| 推荐引用方式 GB/T 7714 | Zheng, Hong,Liu, Zhijun,Ge, Xiurun. Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2013,95(9):721-739. |
| APA | Zheng, Hong,Liu, Zhijun,&Ge, Xiurun.(2013).Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,95(9),721-739. |
| MLA | Zheng, Hong,et al."Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 95.9(2013):721-739. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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