平面弹性方程的非协调有限元分析

杨永琴; 肖留超; 陈绍春

doi:10.3879/j.issn.1000-0887.2010.12.006

平面弹性方程的非协调有限元分析

doi: 10.3879/j.issn.1000-0887.2010.12.006

郑州大学数学系, 郑州 450001;2.河南工业大学理学院, 郑州 450001

基金项目: 国家自然科学基金资助项目(10771198;11071226);河南省国际科技合作项目

详细信息

作者简介:
杨永琴(1978- ),女,河南焦作人,讲师,博士(联系人.E-mail:yangyongqin@zzu.edu.cn).

中图分类号: O242.21
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- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-09-26
- 刊出日期: 2010-12-15

Nonconforming Finite Elements for the Equation of Planar Elasticity

Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China;

摘要

摘要: 针对纯位移平面弹性问题，构造了两个无闭锁非协调有限元，单元对于Lamé常数λ一致收敛，证明了能量模和L2模误差分别为O(h2)和O(h3)．最后给出了数值试验验证了理论分析的正确性．
- 平面弹性 /
- 无闭锁 /
- 非协调有限元
Abstract: Two new locking-free nonconforming finite elements for the pure displacement planarela sticity problem were presented.Convergen cerates of the elements were uniformly optimal with respect to K.T he energy norm and L² norm errors were proved to be O (h²) and O (h³),respectively.La stly,numerical tests are carried out,which coincide with the theoretical analysis.
- planar elasticity /
- locking-free /
- nonconforming finite element

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参考文献(18)

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