Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (6): 507-516.

• Articles •     Next Articles

GEOMETRICALLY NONLINEAR ANALYSIS OF MINDLIN PLATE USING THE INCOMPATIBLE BENDING ELEMENTS WITH INTERNAL SHEAR STRAIN

Jiao Zhao-ping1, Wu Chang-chun2, T. H. H. Pian3   

  1. 1. South China Construction University, West Campus, Guangzhou;
    2. University of Science and Technology of China, Hefei;
    3. Massachusetts Institute of Technology, Cambridge, U. S. A.
  • Received:1992-07-20 Online:1994-06-18 Published:1994-06-18
  • Supported by:

    Project supported by the National Education Commotce Foundation of China

Abstract: An approach of the incompatible elements with additional internal shear strain is,in the presem paper,suggested and applied to geometrically nonlinear analysis of Mi-ndlin plate bending problem. It provides a quite covenient way to avoid the whear loc-king troubles. An energy consistency condition for this kind of C° elements is offered. The nonlinear element formulations and some numerical results are presented.

Key words: internal shear strain, geometrically nonlinear shear locking, con-sistency condition, singular perturbation, coupled systems, reaction and diffusion, iteration method, upper and lower solutions

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals