A new twelve DOF quadrilateral element for analysis of thick and thin plates

Citation
Ak. Soh et al., A new twelve DOF quadrilateral element for analysis of thick and thin plates, EUR J MEC A, 20(2), 2001, pp. 299-326
Citations number
26
Categorie Soggetti
Mechanical Engineering
Journal title
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
ISSN journal
09977538 → ACNP
Volume
20
Issue
2
Year of publication
2001
Pages
299 - 326
Database
ISI
SICI code
0997-7538(200103/04)20:2<299:ANTDQE>2.0.ZU;2-Q
Abstract
A simple quadrilateral 12 DOF plate bending element based on Reissner-Mindl in theory for analysis of thick and thin plates is presented in this paper. This element is constructed by the following procedure: (i) the variation functions of the rotation and sheer strain along each sid e of the element are determined using Timoshenko's beam theory; and (ii) the rotation, curvature and shear strain fields in the domain of the e lement are then determined using the technique of improved interpolation. The proposed element, denoted by ARS-Q12, is robust and free of shear locki ng and, thus, it can be employed to analyze very thin plate. Numerical exam ples show that the proposed element is a high performance element for thick and thin plates. (C) 2001 Editions scientifiques et medicales Elsevier SAS .