A hybrid 'FE-Meshless' QUAD4 with continuous nodal stress using radial-polynomial basis functions
文献类型:期刊论文
作者 | Bi, Ran1; Zheng, Hong2; Yang, Yongtao2 |
刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
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出版日期 | 2015 |
卷号 | 53页码:73-85 |
关键词 | Hybrid FE-Meshless methods Quadrilateral element Continuous nodal stress Radial-polynomial basis functions Mesh distortion |
ISSN号 | 0955-7997 |
DOI | 10.1016/j.enganabound.2014.12.005 |
英文摘要 | In the present work, a novel hybrid FE-Meshless quadrilateral element with continuous nodal stress is developed using radial-polynomial basis functions, named as Quad4- RPIMcns. Quad4-RPIMcns can be regarded as the development of the previous FE-Meshless quadrilateral element with radial-polynomial basis functions (Quad4-RPIM) and quadrilateral element with continuous nodal stress (Quad4-CNS). Similar to Quad4-RPIM, radial-polynomial basis functions are used to construct nodal approximations of Quad4-RPIMcns in the context of partition of unity, which avoids the possible singularity problem of constructing nodal approximations. The derivative of Quad4-RPIMcns shape function is continuous at nodes. Therefore, nodal stress can be obtained without any extra operation. Quad4-RPIMcns possesses Kronecker-delta property which is a very important property to impose essential boundary conditions directly as in the FEM. The numerical tests in this paper demonstrate that Quad4-RPIMcns gives better accuracy and higher convergence rate as compared to four-node iso-parametric quadrilateral element (Quad4). Additionally, Quad4-RPIMcns seems to have higher tolerance to mesh distortion than Quad4. (C) 2014 Elsevier Ltd. All rights reserved. |
WOS研究方向 | Engineering ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000350783600009 |
出版者 | ELSEVIER SCI LTD |
源URL | [http://119.78.100.198/handle/2S6PX9GI/3705] ![]() |
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.Chang An Univ, Dept Rd & Railway Engn 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ; |
推荐引用方式 GB/T 7714 | Bi, Ran,Zheng, Hong,Yang, Yongtao. A hybrid 'FE-Meshless' QUAD4 with continuous nodal stress using radial-polynomial basis functions[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2015,53:73-85. |
APA | Bi, Ran,Zheng, Hong,&Yang, Yongtao.(2015).A hybrid 'FE-Meshless' QUAD4 with continuous nodal stress using radial-polynomial basis functions.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,53,73-85. |
MLA | Bi, Ran,et al."A hybrid 'FE-Meshless' QUAD4 with continuous nodal stress using radial-polynomial basis functions".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 53(2015):73-85. |
入库方式: OAI收割
来源:武汉岩土力学研究所
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