Acta Mechanica Sinica

, Volume 2, Issue 2, pp 185–192 | Cite as

A simple and efficient triangular finite element for plate bending

  • Xu Zhongnian


A simple and efficient triangular finite element is introduced for plate bending application. The element is a three-node triangular one with three basic degrees of freedom per node and two internal rotation degrees of freedom, using selective reduced integration. Numerical examples indicate that, despite its simplicity, the element is not only competitively accurate, but also useful as a thick/thin triangular plate bending element. It is also pointed out that this element using selective reduced integration is in fact a mixed element.

Key Words

reduced integration selective reduced integration element using reduced integration element using selective reduced integration mixed element 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Zienkcewicz, O.C., Taylor, R.L. and Too, J.M., Reduced integration technique in general analysis of plates and shells,Int. J. Num. Mech. Engng,3 (1971), 575–586.CrossRefGoogle Scholar
  2. [2]
    Hughes, T., Taylor, R. and Kanoknukulchai, W., A simple and efficient finite element for plate bending,Int. J. Num. Mech. Engng,11, 10(1977), 1529–1543.MATHCrossRefGoogle Scholar
  3. [3]
    Prathap, G. and Viswanath, S., An optimally integrated four-node quadrilateral plate bending element,Int. J. Num. Mech. Engng,18, 6(1983), 831–840.CrossRefGoogle Scholar
  4. [4]
    Batoz, Jean-Louis, Bathe, Klous-Jürgen and Ho, Lee-Wing Study of three-node triangular plate bending element,Int. J. Num. Mech. Engng,15, 12(1980), 1771–1812.MATHCrossRefGoogle Scholar
  5. [5]
    Lee, S.W. and Pian, T., Improvement of plate and shell finite elements by mixed formulations,AIAA. J,16, 1(1978), 29–34.MATHCrossRefGoogle Scholar
  6. [6]
    Timosheko, Theory of Plate and Shells (1959).Google Scholar
  7. [7]
    Cao Zhiyuan and Yang Shengtian, Theory and application of thick dynamics, Science Press, (1983) (In Chinese).Google Scholar
  8. [8]
    Lynn, P.P. and Phillon, B.B., Triangular thick plate bending element, Proceedings of the 1st International Conference on Atructural Mechanics in Reactor Technology, M6/5 (1971).Google Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1986

Authors and Affiliations

  • Xu Zhongnian
    • 1
  1. 1.Shanghai Aircraft Design and Research InstituteShanghaiChina

Personalised recommendations