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A new C 0 finite element model for the analysis of sandwich plates using combined theories

A new C 0 finite element model for the analysis of sandwich plates using combined theories In this paper, a new two-dimensional finite element model, based on the layerwise approach, is developed for the static analysis of sandwich plates. Both, high order and first order shear deformation theories are used in order to model the core and face-sheets respectively. In the present layerwise model, the number of degrees of freedom is independent of the number of layers in the face sheets. The compatibility as well as the displacement continuity at the interface `face sheets-core' is satisfied. Based on this model, a four-node C0 rectangular plate element with 13 degrees of freedom per node is formulated. The performance of the proposed element is assessed by several study cases, considering isotropic, laminated composite and symmetric/unsymmetric sandwich plates. Different aspect ratios, loadings and boundary conditions are considered. The obtained results show that the developed model is able to give accurate transverse shear stresses directly from the constitutive equations. Keywords: layerwise; finite element; sandwich plates; static analysis. Reference to this paper should be made as follows: Belarbi, M.O. and Tati, A. (2015) `A new C0 finite element model for the analysis of sandwich plates using combined theories', Int. J. Structural Engineering, Vol. 6, No. 3, pp.212­239. Biographical notes: http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Structural Engineering Inderscience Publishers

A new C 0 finite element model for the analysis of sandwich plates using combined theories

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Publisher
Inderscience Publishers
Copyright
Copyright © 2015 Inderscience Enterprises Ltd.
ISSN
1758-7328
eISSN
1758-7336
DOI
10.1504/IJSTRUCTE.2015.070719
Publisher site
See Article on Publisher Site

Abstract

In this paper, a new two-dimensional finite element model, based on the layerwise approach, is developed for the static analysis of sandwich plates. Both, high order and first order shear deformation theories are used in order to model the core and face-sheets respectively. In the present layerwise model, the number of degrees of freedom is independent of the number of layers in the face sheets. The compatibility as well as the displacement continuity at the interface `face sheets-core' is satisfied. Based on this model, a four-node C0 rectangular plate element with 13 degrees of freedom per node is formulated. The performance of the proposed element is assessed by several study cases, considering isotropic, laminated composite and symmetric/unsymmetric sandwich plates. Different aspect ratios, loadings and boundary conditions are considered. The obtained results show that the developed model is able to give accurate transverse shear stresses directly from the constitutive equations. Keywords: layerwise; finite element; sandwich plates; static analysis. Reference to this paper should be made as follows: Belarbi, M.O. and Tati, A. (2015) `A new C0 finite element model for the analysis of sandwich plates using combined theories', Int. J. Structural Engineering, Vol. 6, No. 3, pp.212­239. Biographical notes:

Journal

International Journal of Structural EngineeringInderscience Publishers

Published: Jan 1, 2015

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