Geometrically Nonlinear Analysis of Mindlin Plate Using the Incompatible Bending Elements with Internal Shear Strain

Jiao Zhao-ping; Wu Chang-chun; T. H. H. Pian

Volume 15 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(6): 479-488

Jiao Zhao-ping, Wu Chang-chun, T. H. H. Pian. Geometrically Nonlinear Analysis of Mindlin Plate Using the Incompatible Bending Elements with Internal Shear Strain[J]. Applied Mathematics and Mechanics, 1994, 15(6): 479-488.

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Geometrically Nonlinear Analysis of Mindlin Plate Using the Incompatible Bending Elements with Internal Shear Strain

1.
South China Construction University, West Campus, Guangzhou;
2.
University of Science and Technology of China Hefei;
3.
Massachusetts Institute of Technology, Cambridge, USA

Received Date: 1993-07-20
Publish Date: 1994-06-15

Abstract

Abstract

An approach of the incompatible elements with additional internal shear strain is suggested and applied to geometrically nonlinear analysis of Mindlin plate bending problem, It provides a quite covenient way to avoid the shear locking troubles. An energy consistency condition for this kind of C⁰ elements is offered.The nonlinear element formulations and some numerical results are presented.
- internal shear strain,
- geometrically nonlinear,
- shear locking,
- consistency condition

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References(6)

References

[1]	Hughes,T,J.R.,R.L.Taplor and S,Kanonukulchai,A simple and efficient finite element for bending,Int.J.Num,Meth,Eng.,11(1977),1529-1543.
[2]	Lee,S.W.and T.H,H.Pian,Improvement of plate and shell finite element by miaed formulations.AIAA.J.16 (1978),29-34.
[3]	Hinton.E,and H.C.Huang,A family of quadrilateral Mindlin plate elements with substitute shear strain fields,Computers & Structures 23(1986),409-431.
[4]	Papadopoulo,P.and R.L.Taylor,A triangular element based on Reissner-Mindlin plate theory,Int.J.Num,Meth.Eng.,30(1990),1029-1049
[5]	钱伟长,《变分法及有限元》.科学出版社(1980).
[6]	Wu Chang-chun Huang Nac-guang and T.H.H.Piar,Consistency condition.

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