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Construct 'FE-Meshfree' Quad4 using mean value coordinates

文献类型：期刊论文

作者Yang, Yongtao1; Tang, Xuhai2; Zheng, Hong1
刊名ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
出版日期2015
卷号59页码:78-88
关键词Mean value coordinates Quad4-MVC FE-Meshfree Point interpolation method Mesh distortion
ISSN号0955-7997
DOI10.1016/j.enganabound.2015.04.011
英文摘要The present work uses mean value coordinates to construct the shape functions of a hybrid 'FE-Meshfree' quadrilateral element, which is named as Quad4-MVC. This Quad4-MVC can be regarded as the development of the 'FE-Meshfree' quadrilateral element with radial-polynomial point interpolation (Quad4-RPIM). Similar to Quad4-RPIM, Quad4-MVC has Kronecker delta property on the boundaries of computational domain, so essential boundary conditions can be enforced as conveniently as in the finite element method (FEM). The novelty of the present work is to construct nodal approximations using mean value coordinates, instead of radial basis functions which are used in Quad4-RPIM. Compared to the radial basis functions, mean value coordinates does not utilize any uncertain parameters, which enhances stability of numerical results. Numerical tests in this paper show that the performance of Quad4-RPIM becomes even worse than four-node iso-parametric element (Quad4) when the parameters of radial basis functions are not chosen properly. However, the performance of Quad4-MVC is stably better than Quad4. Published by Elsevier Ltd.
WOS研究方向Engineering ; Mathematics
语种英语
WOS记录号WOS:000358805400008
出版者ELSEVIER SCI LTD
源URL[http://119.78.100.198/handle/2S6PX9GI/3767]  
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.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ;
2.Princeton Univ, Dept Civil & Environm Engn
推荐引用方式
GB/T 7714		 Yang, Yongtao,Tang, Xuhai,Zheng, Hong. Construct 'FE-Meshfree' Quad4 using mean value coordinates[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2015,59:78-88.
APA Yang, Yongtao,Tang, Xuhai,&Zheng, Hong.(2015).Construct 'FE-Meshfree' Quad4 using mean value coordinates.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,59,78-88.
MLA Yang, Yongtao,et al."Construct 'FE-Meshfree' Quad4 using mean value coordinates".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 59(2015):78-88.

入库方式： OAI收割

来源：武汉岩土力学研究所

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