| 一个平面弹性问题的虚位移原理和Locking-Free非协调有限元方法 |
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| 引用本文： | 赵中建,谷留新,陈绍春.一个平面弹性问题的虚位移原理和Locking-Free非协调有限元方法[J].数学的实践与认识,2012,42(5):180-186. |
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| 作者姓名： | 赵中建 谷留新 陈绍春 |
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| 作者单位： | 1. 华北水利水电学院数学与信息科学学院,河南郑州,450011
2. 郑州大学数学系,河南郑州,450002 |
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| 摘 要： | 证明了平面弹性问题的虚位移原理,提出了一个新的非协调有限元解决纯位移边界条件下的Locking现象,该方法是Robust和Optimal,证明了能量模的收敛性,并且证明了误差估计结果与参数λ无关.
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| 关 键 词： | 非协调有限元 Locking-Free 虚位移原理 最优误差估计 |
A Virtual Displacement Principle and Locking Free Nonconforming Finite Element for Planar Linear Elasticity |
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| ZHAO Zhong-jian
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GU Liu-xin
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CHEN Shao-chun.A Virtual Displacement Principle and Locking Free Nonconforming Finite Element for Planar Linear Elasticity[J].Mathematics in Practice and Theory,2012,42(5):180-186. |
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| Authors: | ZHAO Zhong-jian GU Liu-xin CHEN Shao-chun |
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| Institution: | 1.College of Mathematics Information Science North China University of Water Conservancy and Electric Power,Zhengzhou 450011,China) (2.Department of Mathematics Zhengzhou University,Zhengzhou 450002,China) |
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| Abstract: | In this paper,The virtual displacement principle is proved for planar linear elasticity, we propose a new nonconforming finite element method to solve locking-Free phenomena in the pure displacement boundary value problem,the method proposed is robust and optimal, in the sense that the convergence estimate in the energy is independent of the lame parameter A. |
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| Keywords: | nonconforming finite element locking-Free virtual displacement Principle optimal error estimate |
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