Chen Shaochun, Shi Dongyang. Triangular Elements for Reissuer-Mindlin Plate[J]. Applied Mathematics and Mechanics, 1997, 18(3): 247-253.
 Citation: Chen Shaochun, Shi Dongyang. Triangular Elements for Reissuer-Mindlin Plate[J]. Applied Mathematics and Mechanics, 1997, 18(3): 247-253.

# Triangular Elements for Reissuer-Mindlin Plate

• Received Date: 1994-08-03
• Rev Recd Date: 1996-08-13
• Publish Date: 1997-03-15
• A general method to construct locking free Reissner-Mindlin plate elements is presented. According to this method the shear strain is replaced by its proper interpolation polynomial, which corresponds to the Kirchhoff conditions at the interpolation points as the thickness of plate tends to zero so the element is locking free. We construct two triangular elements by this method——a 3-node elenent and a 6-node element. The numerical results are provided.
•  [1] Chen Shaochun, Rectangular Reissner-Mindlin plate elements based on Taylor's formula.Chinese J. Num. Math. & Appl., 16, 1 (1994), 98~106. (中文:计算数学,3 (1993), 373-380). [2] F. Brezzi, K. Bathe and M. Fortin, Mixed-interpolated elements for Reissner-Mindlinplates' Int. J. Aum. Meth. Engn., 28 (1989), 1787~1801. [3] D. N. Arnold and R. S. Falk, A uniformly accurate finite element method for theReissner-Mindlin plate-SIAM J. Num. Anal.. 26. 6 (1989). 1276~1290. [4] D. G. Ciarlet, The finite Element Method for Elliptic Problems, North-Holland (1978). [5] K. J. Bath, Finite Element Procedures in Engineering Analysis, Dentice-Hall. EnglewoodCliffs (1982). [6] S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells. 2nd ed.McGraw-Hill. New York (1959).

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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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