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A 4-node quasi-conforming Reissner-Mindlin shell element by using Timoshenko's beam function
Indexed by:期刊论文
Date of Publication:2012-11-01
Journal:FINITE ELEMENTS IN ANALYSIS AND DESIGN
Included Journals:SCIE、EI、Scopus
Volume:61
Page Number:12-22
ISSN No.:0168-874X
Key Words:Quasi-conforming; Assumed displacement; Timoshenko's beam; Flat shell
Abstract:In the paper, we propose a new 4-node quadrilateral shell element with six degrees of freedom per node within the framework of assumed displacement quasi-conforming method. In order to improve membrane behavior, the drilling degrees of freedom are added. The exact displacement function of Timoshenko's beam, from which the interpolate inner-field function is derived, is used as the string net function on the element boundary in the bending part. The re-constitution technique for the shear strain terms is adopted. The proposed element preserves all the advantages of the quasi-conforming method: explicit stiffness matrix, convenient post processing and free from membrane locking and shear locking, which can be used for the analysis of both moderately thick and thin plates/shells, and the convergence for the very thin case can be ensured theoretically. The numerical tests and comparisons with other existing solutions in the literatures suggest that the present element is efficient and accurate. (c) 2012 Elsevier B.V. All rights reserved.