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A discrete Kirchoff plate bending element with loof nodes

Authors
Journal
Computers & Structures
0045-7949
Publisher
Elsevier
Publication Date
Volume
21
Issue
6
Identifiers
DOI: 10.1016/0045-7949(85)90175-0

Abstract

Abstract The majority of existing flat shell finite elements suffer from the deficiencies of displacement incompatibility, singularity when the elements are coplanar at a node, inability to model intersections and low-order membrane strain representation. In this paper, a plate bending element, labeled DKL (for Discrete Kirchoff element with Loof nodes), with the same nodal configuration as a triangular Semiloff plate element, but not formulated through the isoparametric concept is presented. This element when superposed with the linear strain triangle results in a faceted shell element free from the abovementioned deficiencies. Various numerical examples are tested using this plate element so as to demonstrate its reliability, accuracy and convergence characteristics.

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