A partition-of-unity based 'FE-Meshfree' triangular element with radial-polynomial basis functions for static and free vibration analysis

doi:10.1016/j.enganabound.2015.12.018

CORC > 武汉岩土力学研究所 > 中科院武汉岩土力学所 > 岩土力学所知识全产出 > 期刊论文

	A partition-of-unity based 'FE-Meshfree' triangular element with radial-polynomial basis functions for static and free vibration analysis
	Xu, Dongdong 1,2; Yang, Yongtao 1; Zheng, Hong 1
刊名	ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
	2016
卷号	65 页码:18-38
关键词	Partition of unity method Hybrid FE-Meshfree element Trig3-RPIM Mesh distortion Radial-polynomial basis functions
ISSN号	0955-7997
DOI	10.1016/j.enganabound.2015.12.018
英文摘要	A new 'FE-Meshfree' three-node triangular element (Trig3-RPIM) is developed based on the partition of unity (PU) concept. The Trig3-RPIM element employs the shape function of classical three-node triangular element (Trig3) to construct the PU and the radial-polynomial basis function which is free from the possible singularity of the moment matrix to construct the nodal approximation. The Trig3-RPIM element synergizes the individual strengths of finite element method and meshfree method. Moreover, it is free from the linear dependence problem which otherwise cripples many of the PU based finite elements. Several linear, nonlinear and free vibration test problems are solved and the performance of the element is compared with those of the well-known three-node triangular element (Trig3) and four-node isoparametric quadrilateral element (Quad4). The results show that, for regular meshes, the performance of the element is superior to those of Trig3 and Quad4 elements. For distorted meshes, the present element has better mesh-distortion tolerance than Trig3 and Quad4 elements. (C) 2016 Elsevier Ltd. All rights reserved.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000371837600002
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3846]
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.Yangtze River Sci Res Inst, Minist Water Resources, Key Lab Geotech Mech & Engn
推荐引用方式 GB/T 7714	Xu, Dongdong,Yang, Yongtao,Zheng, Hong. A partition-of-unity based 'FE-Meshfree' triangular element with radial-polynomial basis functions for static and free vibration analysis[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2016,65:18-38.
APA	Xu, Dongdong,Yang, Yongtao,&Zheng, Hong.(2016).A partition-of-unity based 'FE-Meshfree' triangular element with radial-polynomial basis functions for static and free vibration analysis.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,65,18-38.
MLA	Xu, Dongdong,et al."A partition-of-unity based 'FE-Meshfree' triangular element with radial-polynomial basis functions for static and free vibration analysis".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 65(2016):18-38.