MLS based local approximation in numerical manifold method

doi:10.1108/EC-12-2017-0485

CORC > 武汉植物园 > 中国科学院武汉植物园

	MLS based local approximation in numerical manifold method
	Lin, Shan 2,3; Li, Wei 2,3; Zheng, H.1; Chen, Yuanqiang 2,3
刊名	ENGINEERING COMPUTATIONS
	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
DOI	10.1108/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
出版者	EMERALD GROUP PUBLISHING LTD
WOS记录号	WOS:000448323200002
内容类型	期刊论文
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.