| US-FE-LSPIM四边形单元及其在几何非线性问题中的应用 |
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| 引用本文： | 贾程,陈国荣,陈卉卉. US-FE-LSPIM四边形单元及其在几何非线性问题中的应用[J]. 计算力学学报, 2011, 28(5): 785-791 |
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| 作者姓名： | 贾程 陈国荣 陈卉卉 |
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| 作者单位： | 盐城工学院 土木工程学院,盐城 224051;河海大学 工程力学系,南京 210098;河海大学 工程力学系,南京 210098;盐城工学院 土木工程学院,盐城 224051 |
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| 摘 要： | 为了提高在网格畸变时的数值计算精度，基于非对称有限单元的概念，提出US-FE-LSPIM四边形单元。该单元是利用传统的四节点等参元形函数集和FE—LSPIM四边形单元形函数集分别作为检验函数和试函数而构成。前者用于满足单元间和单元内的位移连续性要求，后者用于满足位移完备性要求。该单元结合了有限单元法和无网格法的优点，能...
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| 关 键 词： | 几何非线性问题 US—FE—LSPIM四边形单元 修正拉格朗日格式 网格畸变 |
| 收稿时间： | 2010-11-30 |
| 修稿时间： | 2011-01-04 |
US-FE-LSPIM QUAD4 element and its application in the geometrically nonlinear problems |
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| JIA Cheng,CHEN Guo-rong and CHEN Hui-hui. US-FE-LSPIM QUAD4 element and its application in the geometrically nonlinear problems[J]. Chinese Journal of Computational Mechanics, 2011, 28(5): 785-791 |
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| Authors: | JIA Cheng CHEN Guo-rong CHEN Hui-hui |
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| Affiliation: | School of Civil Engineering, Yancheng Institute of Technology, Yancheng 224051, China;Department of Engineering Mechanics, Hohai University,Nanjing 210098,China;Department of Engineering Mechanics, Hohai University,Nanjing 210098,China;School of Civil Engineering, Yancheng Institute of Technology, Yancheng 224051, China |
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| Abstract: | In order to improve precision of numerical calculation for distorted meshes, the US-FE-LSPIM QUAD4 element is developed based on the concept of unsymmetric finite element formulation. This element is formed by using two different sets of shape functions for the trial and test functions, viz. sets of FE-LSPIM QUAD4 element shape functions and sets of classical isoparametric shape functions. The former is used for requirements of intra-element and inter-element continuity in displacement field, and the latter is for requirements of completeness in displacement field. This element combines the strengths of finite element and meshfree methods, and could easily fulfil exact essential boundary condition along the entire length of the edge. In the analysis of the geometrically nonlinear problems, the formulation is derived based on the updated Lagrangian formulation. An incremental and iterative solution procedure using Newton-Raphson iterations is used to solve the problems. FORTRAN programme is made. Numerical examples show that the US-FE-LSPIM QUAD4 element exhibits superiority to classical four node isoparametric element and QM6 element, and possesses good precision for both regular and distorted meshes, insensitiveness to mesh distortion. |
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| Keywords: | geometrically nonlinear problem US-FE-LSPIM QUAD4 element updated Lagrangian formulation mesh distortion |
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