Application of Penalty Function Method in Isoparametric Hybrid Finite Element Analysis

CHEN Dao-zheng; JIAO Zhao-ping

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(8): 929-936

CHEN Dao-zheng, JIAO Zhao-ping. Application of Penalty Function Method in Isoparametric Hybrid Finite Element Analysis[J]. Applied Mathematics and Mechanics, 2005, 26(8): 929-936.

Citation:

CHEN Dao-zheng, JIAO Zhao-ping. Application of Penalty Function Method in Isoparametric Hybrid Finite Element Analysis[J]. Applied Mathematics and Mechanics, 2005, 26(8): 929-936.

Citation:

CHEN Dao-zheng, JIAO Zhao-ping. Application of Penalty Function Method in Isoparametric Hybrid Finite Element Analysis[J]. Applied Mathematics and Mechanics, 2005, 26(8): 929-936.

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Application of Penalty Function Method in Isoparametric Hybrid Finite Element Analysis

CHEN Dao-zheng¹,
JIAO Zhao-ping²

1.
College of Civil and Architectural Engineering, Hefei University of Technology, Hefei 230009, P. R. China;

Received Date: 2004-04-16
Rev Recd Date: 2005-03-29
Publish Date: 2005-08-15

Abstract

Abstract

By aid of the penalty function method, the equilibrium restriction conditions were intr oduced to the isopar ametric hy brid finite element analysis, and the concrete application course of the penalty function method in three-dimension isoparametric hybrid finite element was discussed. The separated penalty parameters method and the optimal hybrid element model with penalty balance were also presented. The penalty balance method can effectively refrain the par asitical stress on the premise of no additional degrees of freedom. The numeric experiment shows that the prese ntedelement not only is effective in improving greatly the numeric calculation precision of distorted grids but also has universality.
- hybrid element,
- equilibrium restriction condition,
- penalty function method

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References(8)

References

[1]	Pain T H H.Derivation of element stiffness matrices by assumed stress distribution[J].AIAA J,1964，2（2）：1333—1336. doi: 10.2514/3.2546
[2]	Pain T H H，Chen D P.Alternative ways for formulation of hybrid stress elements[J].Internat J Numer Meth Engrg，1982，18（11）：1679—1684. doi: 10.1002/nme.1620181107
[3]	Pain T H H.Sumihara K.Rational approach for assumed stress finite elements[J].Internat J Numer Meth Engrg，1984，20（9）：1685—1695. doi: 10.1002/nme.1620200911
[4]	吴长春,狄生林,黄茂光.杂交元的优化设计[J].科学通报,1986,15(31)：1142—1144.
[5]	焦兆平.罚函数法在等参杂交元中的应用[J].合肥工业大学学报,1991,14(1)：86—95.
[6]	焦兆平,吴长春.三维等参杂交元的优化设计[J].工程力学,1988,5(2)：10—20.
[7]	吴长春，卞学璜.非协调数值分析与杂交元方法[M].北京：科技出版社，1997.
[8]	WU Chang-chun,Bufler H.Multivariable finite elements: consistency and optimization[J].Science in China,Ser A,1991,34(2)：284—299.