Mixed multiscale three-node triangular elements for incompressible elasticity
文献类型：期刊论文
| 作者 | Wu, Wenan; Zheng, Hong |
| 刊名 | ENGINEERING COMPUTATIONS
 |
| 出版日期 | 2019 |
| 卷号 | 36期号:8页码:2859-2886 |
| 关键词 | Full near incompressibility Hybrid FE-meshfree method Multiscale variational principle Stabilized finite elements Volume locking |
| ISSN号 | 0264-4401 |
| DOI | 10.1108/EC-10-2018-0488 |
| 英文摘要 | Purpose This study aims to introduce the hybrid finite element (FE) - meshfree method and multiscale variational principle into the traditional mixed FE formulation, leading to a stable mixed formulation for incompressible linear elasticity which circumvents the need to satisfy inf-sup condition. Design/methodology/approach Using the hybrid FE-meshfree method, the displacement and pressure are interpolated conveniently with the same order so that a continuous pressure field can be obtained with low-order elements. The multiscale variational principle is then introduced into the Galerkin form to obtain stable and convergent results. Findings The present method is capable of overcoming volume locking and does not exhibit unphysical oscillations near the incompressible limit. Moreover, there are no extra unknowns introduced in the present method because the fine-scale unknowns are eliminated using the static condensation technique, and there is no need to evaluate any user-defined stability parameter as the classical stabilization methods do. The shape functions constructed in the present model possess continuous derivatives at nodes, which gives a continuous and more precise stress field with no need of an additional smooth process. The shape functions in the present model also possess the Kronecker delta property, so that it is convenient to impose essential boundary conditions. Originality/value The proposed model can be implemented easily. Its convergence rates and accuracy in displacement, energy and pressure are even comparable to those of second-order mixed elements. |
| WOS研究方向 | Computer Science ; Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000490289000018 |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/14856]  |
| 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, Wuhan, Hubei, Peoples R China; 2.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Wenan,Zheng, Hong. Mixed multiscale three-node triangular elements for incompressible elasticity[J]. ENGINEERING COMPUTATIONS,2019,36(8):2859-2886. |
| APA | Wu, Wenan,&Zheng, Hong.(2019).Mixed multiscale three-node triangular elements for incompressible elasticity.ENGINEERING COMPUTATIONS,36(8),2859-2886. |
| MLA | Wu, Wenan,et al."Mixed multiscale three-node triangular elements for incompressible elasticity".ENGINEERING COMPUTATIONS 36.8(2019):2859-2886. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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