Skip to main content
SpringerLink
Log in

Application of penalty function method in isoparametric hybrid finite element analysis

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

By the aid of the penalty function method, the equilibrium restriction conditions were introduced to the isoparametric hybrid finite element analysis, and the concrete application course of the penalty function method in three-dimensional 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 parasitical stress on the premise of no additional degrees of freedom. The numeric experiment shows that the presented element not only is effective in improving greatly the numeric calculation precision of distorted grids but also has the universality.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Pain T H H. Derivation of element stiffness matrices by assumed stress distribution[J].AIAA J, 1964,2(2): 1333–1336.

    Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  4. Wu changchun, Di Shenglin, Huang Maoguang. Optimizing design of hybrid element[J].Chinese Science Bulletin, 1986,15(31): 1142–1144 (in Chinese).

    Google Scholar 

  5. Jiao Zhaoping. Penatly function method and its application in three-dimensional isoparametric hybrid element[J].Journal of Hefei University of Technology, 1991,14(1): 86–95 (in Chinese).

    Google Scholar 

  6. Jiao Zhaoping, Wu Changchun. Optimizing design of three-dimensional isoparametric hybrid element[J].Engineering Mechanics 1988,5(2): 10–20 (in Chinese).

    Google Scholar 

  7. Wu Changchun, Pain Xuehuang.Incompatible Numerical Analysis and Hybrid Element Method[M], Scientific and Technical Press, Beijing, 1997 (in Chinese).

    Google Scholar 

  8. Wu Changchun, Bufler H. Multivariable finite elements: consistency and optimization[J].Science in China, Ser A, 1991,34(2): 284–299.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Chen Dao-zheng (Associate Professor, Doctor)

  2. Panyu Vocational Technology College, 511483, Guangzhou, P. R. China

    Jiao Zhao-ping

Authors
  1. Chen Dao-zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiao Zhao-ping
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chen Dao-zheng.

Additional information

Communicated by GU Yuan-xian

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dao-zheng, C., Zhao-ping, J. Application of penalty function method in isoparametric hybrid finite element analysis. Appl Math Mech 26, 1017–1025 (2005). https://doi.org/10.1007/BF02466414

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02466414

Key words

Chinese Library Classification

Document code

2000 Mathematics Subject Classification

Search

Navigation