Skip to main content
Log in

More generalized hybrid variational principle and corresponding finite element model

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

Abstract

According to recent studies of the generalized variational principle by Professor Chien Weizang, the more generalized hybrid variational principle for finite element method is given, from which a new kind of the generalized hybrid element model is etablished.

Using the thin plate bending element with varying thickness as an example, we compare various hybrid elements based on different generalized variational principles.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Chien Wei-zang, The method of high-order lagrange multiplier and generalized variational principle of elasticity with generalized forms of functionals.Applied Mathematics and Mechanics,4, 2 (1983).

    Google Scholar 

  2. Liang Guo-ping and Fu Zi-zhi, A new method for the construction element,Proceedings of the International Conference on Finite Element Methods. 2–6, Shanghai, China Aug. (1982), 593–599.

  3. Michael, L. Day and T. Y. Yang, A mixed variational principle for finite element analysis.Int. J. Num. Methods Engng,8 (1982), 1213–1230.

    Google Scholar 

  4. Oden, J.T., The classical variational principles of mechanics,Energy Method in Finite Element Analysis, Edited by R. Glowinck, E.Y. Rodin, O.C. Zienkiewicz (1979), 1–31.

  5. Chen Wan-ji, The generalized hybrid variational principle and hybrid model.J. Dalian Institute of Technology,4 (1983). (in Chinese)

  6. Chen Wan-ji, The generalized hybrid element of thin plate and shell with varying thickness,ACTA Mechanica Sinica (to be published). (in Chinese)

  7. Chien Wei-zang,Variational Principles and Finite Elements, Science Publications, Peking (1980). (in Chinese)

    Google Scholar 

  8. Long Yu-qiu, Sub-region generalized variational principle of elasticity,Shanghai Mechanics,2 (1981). (in Chinese)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Tang Li-min

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wan-ji, C. More generalized hybrid variational principle and corresponding finite element model. Appl Math Mech 7, 481–487 (1986). https://doi.org/10.1007/BF01895767

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01895767

Keywords

Navigation