Acta Mechanica Sinica

, Volume 11, Issue 2, pp 178–185 | Cite as

Geometrically non-linear generalized hybrid element and refined element method of non-conforming modes

  • Zheng Shijie
  • Chen Wanji


A generalized hybrid method of non-conforming modes based on a non-linear generalized variational principles with relaxed interelement continuity requirements, is developed, and the plane quadrilateral geometrically non-linear element is presented, furthermore, non-linear refined element method is devised by orthogonal approach. It is shown that the refined element can improve the computational accuracy for non-conforming modes.

Key Words

geometrically non-linear generalized hybrid element non-linear refined element generalized variational principles 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Taylor RL, Beresford PJ, Wilson EL. A non-conforming element for stress analysis.Int J Num Meth Eng, 1976, (10): 1211–1219Google Scholar
  2. [2]
    Chen Wanji. On the equivalence of wilson element with the generalized hybrid element.Acta Mechanica Sinica, 1990, 22(1): 60–64 (in Chinese)Google Scholar
  3. [3]
    Wu Changchun, Bufler H. Multivariable finite element: consistency and optimization.Scientia Sinica (A), 1991, 34 (3): 284–299MATHMathSciNetGoogle Scholar
  4. [4]
    Wu Changchun, Jiao Zhaoping. Geometrically non-linear analysis for 2-D problems based on the incompatible finite elements with internal parameters.Acta Mechanica Sinica, 1993, 25 (4): 505–512 (in Chinese)Google Scholar
  5. [5]
    Simo JC, Armero F. Geometrically non-linear enhanced strain mixed and the method of incompatible modes.Int J Num Meth Eng, 1992, 33(7): 1413–1449MATHMathSciNetCrossRefGoogle Scholar
  6. [6]
    Ibrahimbegovic A, Francois F. Geometrically non-linear method of incompatible modes in application to finite elasticity with independent rotation.Int J Num Meth Eng, 1993, 36 (24): 4185–4200MATHCrossRefGoogle Scholar
  7. [7]
    Chen Wanji. The investigation of geometrically non-linear non-conforming modes.Scientia Sinica (A), 1994, 24 (10): 1047–1055Google Scholar
  8. [8]
    Cheung YK, Chen Wanji. Refined hybrid method for plane isoparametric element using an orthogonal approach.Computer and Structure, 1992, 42(5): 683–692CrossRefGoogle Scholar
  9. [9]
    Chen Wanji. Refined hybrid method and refined plane quadrilateral element.Journal of Dalian University of Technology, 1992, 32(5): 509–519 (in Chinese)Google Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1995

Authors and Affiliations

  • Zheng Shijie
    • 1
  • Chen Wanji
    • 1
  1. 1.Research Institute of Engineering MechanicsDalian University of TechnologyDalianChina

Personalised recommendations