A partition-of-unity based 'FE-Meshfree' triangular element with radial-polynomial basis functions for static and free vibration analysis
文献类型：期刊论文
| 作者 | Xu, Dongdong1,2; Yang, Yongtao1; Zheng, Hong1 |
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000371837600002 |
| 出版者 | ELSEVIER SCI LTD |
| 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. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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