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.
 Citation: 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.

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

• Received Date: 1993-07-20
• Publish Date: 1994-06-15
• 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.
•  [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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沈阳化工大学材料科学与工程学院 沈阳 110142

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