Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element

[+] Author and Article Information
T. J. R. Hughes, T. E. Tezduyar

Division of Applied Mechanics, Stanford University, Durand Building, Room 252, Stanford, Calif. 94305

J. Appl. Mech 48(3), 587-596 (Sep 01, 1981) (10 pages) doi:10.1115/1.3157679 History: Received December 01, 1980; Revised February 01, 1981; Online July 21, 2009


Concepts useful for the development of Mindlin plate elements are explored. Interpolatory schemes and nodal patterns which are ideal according to the proposed criteria are found to be somewhat more complicated than desirable for practical applications. However, these ideas are found to be useful as starting points in the development of simpler elements. This is illustrated by the derivation of a new four-node bilinear quadrilateral which achieves good accuracy without ostensible defect.

Copyright © 1981 by ASME
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