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

• 论文 •    下一篇

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

焦兆平1, 吴长春2, 卞学(金黄)3   

  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.
  • 收稿日期:1992-07-20 出版日期:1994-06-18 发布日期:1994-06-18
  • 基金资助:

    Project supported by the National Education Commotce Foundation of China

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

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摘要： 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.

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

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

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