## 留言板

 引用本文: 陈绍春, 石东洋. 三角形REISSNER-MINDLIN板元[J]. 应用数学和力学, 1997, 18(3): 247-253.
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

• 摘要: 本文提出构造无自锁现象的Reissuer－Mindlin板元的一个一般性方法.此方法将剪切应变用它的适当的插值多项式代替,当板厚趋于零时这对应于插值点的Kirchhoff条件,因而单元无自锁现象.根据这种方法我们构造两个三角形元──一个3节点元和一个6节点元,并给出数值结果.
•  [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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##### 出版历程
• 收稿日期:  1994-08-03
• 修回日期:  1996-08-13
• 刊出日期:  1997-03-15

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