| 一个应力边界条件下平面弹性问题的Locking-Free有限元方法 |
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| 引用本文： | 赵中建,张冠宇. 一个应力边界条件下平面弹性问题的Locking-Free有限元方法[J]. 浙江师范大学学报(自然科学版), 2007, 30(3): 251-257 |
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| 作者姓名： | 赵中建 张冠宇 |
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| 作者单位： | 1. 华北水利水电学院,教务处,河南,郑州,450011
2. 黄淮学院数学系,河南,驻马店,463000 |
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| 摘 要： | 用非协调有限元方法解决应力边界条件下平面弹性问题的Locking现象,构造了一个新的四边形单元克服Locking现象,给出了新的非协调有限元格式,证明了此格式的收敛性,并给出了最优的误差估计.
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| 关 键 词： | 非协调有限元 平面弹性 Korn不等式 最优误差估计 |
| 文章编号： | 1001-5051（2007）03-0251-07 |
| 收稿时间： | 2006-05-12 |
| 修稿时间： | 2006-10-23 |
A Locking-Free finite element method for the pure traction boundary problem in planar elasticity |
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| ZHAO Zhongjian,ZHANG Guanyu. A Locking-Free finite element method for the pure traction boundary problem in planar elasticity[J]. Journal of Zhejiang Normal University Natural Sciences, 2007, 30(3): 251-257 |
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| Authors: | ZHAO Zhongjian ZHANG Guanyu |
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| Abstract: | It was discussed the locking phenomena of the nonconforming finite element method for the pure traction boundary value problem in planar elasticity,a new rectangular nonconforming finite element scheme was proposed.Convergence of the Locking-Free scheme was proved and estimate results was showed to be optimal. |
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| Keywords: | Locking-Free |
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