Abstract
In this paper, a method of constructing displacement-based element for thick/thin plates is developed by using the technique of generalized compatibility, and a rectangular displacement based element with 12 degrees of freedom for thick/thin plates is presented. This method enjoys a good accuracy with simple formulation and is free of shear locking as the thickness of the plate approaches zero.
Similar content being viewed by others
References
Bu X M, Long Y Q, A quadrilateral element for thin plate bending,Acta Mechanica Sinica, 1991, 23 (1): 53–60 (in Chinese).
Yuan S. Spline rectangular think/thin plate elements.Acta Mechanica Sinica, 1984, 16(4): 401–407 (in Chinese).
Pryor C. W. Jr, Barker R M. Finite element bending analysis of Reissner plates,J Eng Mech, ASCE, 1970 96(EM6): 967–983.
Bu X M, Long Y Q. A high-precie rectangular element for thin plate bending analysis.China Civil Engineering Journal, 1991, 24(1): 17–22. (in Chinese).
Melosh R J. Basis for derivation of matrices for the direct stiffness method,AIAA J, 1963, 1(7): 1631–1637.
He D Z. A Stiffness matrix of rectangular element for the plates including transverse shear deformation.Acta Mechanica Solid Sinica, 1981, (1) 27–38 (in Chinese)
Noor A K, Mathers M D. Finite element analysis of anisotropic plate.Int. J Nu Meth Eng, 1977, 11 (2):289–298
Author information
Authors and Affiliations
Additional information
The project supported by National Natural Science Foundation of China through Grant No. 59208075
Rights and permissions
About this article
Cite this article
Xiaoming, B., Yuqiu, L. Construction of rectangular displacement-based element for thick/thin plates. Acta Mech Sinica 9, 163–170 (1993). https://doi.org/10.1007/BF02487496
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487496