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MLS based local approximation in numerical manifold method

文献类型：期刊论文

作者Lin, Shan2,3; Li, Wei2,3; Zheng, H.1; Chen, Yuanqiang2,3
刊名ENGINEERING COMPUTATIONS
出版日期2018
卷号35期号:7页码:2429-2458
关键词Continuous nodal stress Linear dependence problem Moving least square interpolation Numerical manifold method Trig3-MLScns
ISSN号0264-4401
DOI10.1108/EC-12-2017-0485
英文摘要Purpose The purpose of this paper is to propose a new three-node triangular element in the framework of the numerical manifold method (NMM), which is designated by Trig3-MLScns. Design/methodology/approach The formulation uses the improved parametric shape functions of classical triangular elements (Trig3-0) to construct the partition of unity (PU) and the moving least square (MLS) interpolation method to construct the local approximation function. Findings Compared with the classical three-node element (Trig3-0), the Trig3-MLScns element has a higher order of approximations, much better accuracy and continuous nodal stress. Moreover, the linear dependence problem associated with many PU-based methods with high-order approximations is eliminated in the present element. A number of numerical examples indicate the high accuracy and robustness of the Trig3-MLScns element. Originality/value The proposed element inherits the individual merits of the NMM and the MLS.
WOS研究方向Computer Science ; Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:000448323200002
出版者EMERALD GROUP PUBLISHING LTD
源URL[http://202.127.146.157/handle/2RYDP1HH/6051]  
专题中国科学院武汉植物园
通讯作者Chen, Yuanqiang
作者单位1.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing, Peoples R China
2.Univ Chinese Acad Sci, Beijing, Peoples R China
3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan, Hubei, Peoples R China
推荐引用方式
GB/T 7714		 Lin, Shan,Li, Wei,Zheng, H.,et al. MLS based local approximation in numerical manifold method[J]. ENGINEERING COMPUTATIONS,2018,35(7):2429-2458.
APA Lin, Shan,Li, Wei,Zheng, H.,&Chen, Yuanqiang.(2018).MLS based local approximation in numerical manifold method.ENGINEERING COMPUTATIONS,35(7),2429-2458.
MLA Lin, Shan,et al."MLS based local approximation in numerical manifold method".ENGINEERING COMPUTATIONS 35.7(2018):2429-2458.

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来源：武汉植物园

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