Abstract
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 element and a 6-node element. The numerical results are provided.
Similar content being viewed by others
References
Chen Shaochun Rectangular Reissner-Mindlin plate elements based on Taylor's formula.Chinese J. Num. Math. & Appl.,16, 1 (1994), 98–106. (in Chinese)
F. Brezzi, K. Bathe and M. Fortin, Mixed-interpolated elements for Reissner-Mindlin plates,Int. J. Num. Meth. Engn.,28 (1989), 1787–1801.
D. N. Arnold and R. S. Falk, A uniformly accurate finite element method for the Reissner-Mindlin plate,SIAM J. Num. Anal.,26, 6 (1989), 1276–1290.
D. G. Ciarlet,The finite Element Method for Elliptic Problems, North-Holland (1978).
K. J. Bath,Finite Element Procedures in Engineering Analysis. Dentice-Hall, Englewood Cliffs (1982).
S. P. Timoshenko and S. Woinowsky-Krieger,Theory of Plates and Shells, 2nd ed. McGraw-Hill, New York (1959).
Author information
Authors and Affiliations
Additional information
Communicated by Chien Weizang
Rights and permissions
About this article
Cite this article
Shaochun, C., Dongyang, S. Triangular elements for Reissner-Mindlin plate. Appl Math Mech 18, 267–272 (1997). https://doi.org/10.1007/BF02453370
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02453370