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 引用本文: 谢小平, 周天孝. 组合杂交有限元方法对等参双线性Q4-平板元的粗网格精度改进[J]. 应用数学和力学, 2003, 24(12): 1291-1300.
XIE Xiao-ping, ZHOU Tian-xiao. Coarse-Mesh-Accuracy Improvement of Bilinear Q4-Plane Element by the Combined Hybrid Finite Element Method[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1291-1300.
 Citation: XIE Xiao-ping, ZHOU Tian-xiao. Coarse-Mesh-Accuracy Improvement of Bilinear Q4-Plane Element by the Combined Hybrid Finite Element Method[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1291-1300.

组合杂交有限元方法对等参双线性Q4-平板元的粗网格精度改进

作者简介:谢小平(1970- ),男,四川德阳人,副教授,博士(E-mail:xiaopingxie@263.net).
• 中图分类号: O242.21

Coarse-Mesh-Accuracy Improvement of Bilinear Q4-Plane Element by the Combined Hybrid Finite Element Method

• 摘要: 组合杂交有限元法具有增强低阶位移格式粗网格精度的内在机制.能量误差为零的组合杂交格式可获得改进的粗网络精度,而其中组合参数起着极其重要的作用.采用最简便的四边形位移\应力模式作为对协调双线性Q4-平板元的改进:协调等参双线性位移插值和纯粹常应力模式.通过调整组合参数,得到了组合杂交元的优化型.数值试验表明这种参数＿调整型显著改进了协调Q4-元,达到粗网格高精度.由于应力参数可在单元水平消去,这种组合杂交改进型的计算量与协调Q4-元相当.
•  [1] ZHOU Tian-xiao.Finite element method based on combination of "saddle point" variational formulations[J].Science in China,Ser E,1997,27(1):75-87. [2] ZHOU Tian-xiao.Stabilized hybrid finite element methods based on combination of saddle point principles of elasticity problem[J].Math Co mput,2003,72(244):1655-1673. [3] ZHOU Tian-xiao,NIE Yu-feng.A combined hybrid approach to finite element schemes of high performance[J].Internat J Numer Methods Engrg,2001,51(2):181-202. [4] ZHOU Tian-xiao,XIE Xiao-ping.A combined hybrid finite element method for plate bending problems[J].J Comput Math,2003,21(3):347-356. [5] Allman D J.A compatibl,triangular element including vertex rotations for plane elasticity analysis[J].Comput Struct,1984,19(1):1-8. [6] Pian T H H,Sumihara K.Rational approach for assumed stress finite elements[J].Internat J Numer Methods Engrg,1984,20(9):1685-1695. [7] Piltner R,Taylor R L.A systematic construction of B-bar functions for linear and nonlinear mixedenhanced finite elements for plane elasticity problems[J].Internat J Numer Methods Eegrg,1999,44(5):615-639. [8] MacNeal R H,Harder R L.A proposed standard set of problems to test finite element accuracy[J].Finite Elements in Analysis and Design,1985,1(1):3-20. [9] Chen W-J,Cheung Y-K.Robust refined quadrilateral plane element[J].Internat J Numer Methods Engrg,1995,38(4):649-666. [10] Simo J C,Rifai M S.A class of assumed strain methods and the method of incompatible modes[J].Internat J Numer Methods Engrg,1990,29(8):1595-1638. [11] Pian T H H.Finite elements based on consistently assumed stresses and displacements[J].Finite Elements in Analysis and Design,1985,1(2):131-140. [12] CHIEN Wei-zang.Incompatible elements and generalized variational principle[A].In:Proceedings of Symposium on Finite Element Method[C].252.Beijing:Science Press; New York:Gorden and Breach,Science Publ,1982. [13] Brezzi F,Fortin M.Mixed and Hybrid Finite Element Methods[M].Berlin:Springer-Verlag,1992. [14] ZHOU Tian-xiao,XIE Xiao-ping.A unified analysis for stress/strain hybrid methods of high performance[J].Comput Methods Appl Meth Engrg,2002,191(41/42):4619-4640.

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出版历程
• 收稿日期:  2001-09-29
• 修回日期:  2003-06-20
• 刊出日期:  2003-12-15

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