Application of the 'FE-Meshfree' QUAD4 with continuous nodal stress using radial-polynomial basis functions for vibration and geometric nonlinear analyses

doi:10.1016/j.enganabound.2017.02.007

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

	Application of the 'FE-Meshfree' QUAD4 with continuous nodal stress using radial-polynomial basis functions for vibration and geometric nonlinear analyses
	Zheng, Hong 2; Yang, Yongtao 1; Sun, Guanhua 1
刊名	ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
	2017
卷号	78 页码:31-48
关键词	Partition of unity Hybrid FE-Meshfree element Quad4-RPIMcns Mesh distortion Radial-polynomial basis functions
ISSN号	0955-7997
DOI	10.1016/j.enganabound.2017.02.007
英文摘要	A hybrid 'FE-Meshfree' four-node quadrilateral element with continuous nodal stress using radial-polynomial basis functions (Quad4-RPIMcns), was recently proposed for static analysis. The Quad4-RPIMcns element can be considered as a development of the previous partition-of-unity (PU) based 'FE-Meshfree' QUAD4 element (Quad4-RPIM) which uses FE shape functions to construct the PU and radial-polynomial basis functions to construct the local approximation (LA), so as to synergize the individual strengths of finite element and meshfree methods. As a result, high order global approximations in Quad4-RPIMcns element could be easily constructed without adding extra nodes and DOFs, thereby achieving high accuracy and convergence rate. In this paper, the element is further applied to conduct free vibration, forced vibration and geometric nonlinear analyses of two-dimensional solids. Several numerical test problems are solved and the performance of the element is compared with that of the three-node triangular element (Trig3) and four-node isoparametric quadrilateral element (Quad4). Numerical results show that Quad4-RPIMcns element has higher tolerance to mesh distortion and gives more accurate solution as compared to Trig3 and Quad4 elements.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000400222000005
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/4052]
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, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech ; 2.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ
推荐引用方式 GB/T 7714	Zheng, Hong,Yang, Yongtao,Sun, Guanhua. Application of the 'FE-Meshfree' QUAD4 with continuous nodal stress using radial-polynomial basis functions for vibration and geometric nonlinear analyses[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2017,78:31-48.
APA	Zheng, Hong,Yang, Yongtao,&Sun, Guanhua.(2017).Application of the 'FE-Meshfree' QUAD4 with continuous nodal stress using radial-polynomial basis functions for vibration and geometric nonlinear analyses.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,78,31-48.
MLA	Zheng, Hong,et al."Application of the 'FE-Meshfree' QUAD4 with continuous nodal stress using radial-polynomial basis functions for vibration and geometric nonlinear analyses".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 78(2017):31-48.