Investigation of influence of homogenization models on stability and dynamics of FGM plates on elastic foundations

Mehala, T, Belabed, Z, Tounsi, A and Beg, OA ORCID: https://orcid.org/0000-0001-5925-6711 2018, 'Investigation of influence of homogenization models on stability and dynamics of FGM plates on elastic foundations' , Geomechanics And Engineering: An International Journal, 16 (3) , pp. 257-271.

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Abstract

In this paper, the effect of the homogenization models on buckling and free vibration is presented for functionally graded plates (FGM) resting on elastic foundations. The majority of investigations developed in the last decade, explored the Voigt homogenization model to predict the effective proprieties of functionally graded materials at the macroscopic-scale for FGM mechanical behavior. For this reason, various models have been used to derive the effective proprieties of FGMs and simulate thereby their effects on the buckling and free vibration of FGM plates based on comparative studies that may differ in terms of several parameters. The refined plate theory, as used in this paper, is based on dividing the transverse displacement into both bending and shear components. This leads to a reduction in the number of unknowns and governing equations. Furthermore the present formulation utilizes a sinusoidal variation of displacement field across the thickness, and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton’s principle. Analytical solutions for the buckling and free vibration analysis are obtained for simply supported plates. The obtained results are compared with those predicted by other plate theories. This study shows the sensitivity of the obtained results to different homogenization models and that the results generated may vary considerably from one theory to another. Comprehensive visualization of results is provided. The analysis is relevant to aerospace, nuclear, civil and other structures.

Item Type:	Article
Schools:	Schools > School of Computing, Science and Engineering
Journal or Publication Title:	Geomechanics And Engineering: An International Journal
Publisher:	Techno Press
ISSN:	2005-307X
Related URLs:	Publication
Depositing User:	OA Beg
Date Deposited:	08 Nov 2018 15:44
Last Modified:	16 Feb 2022 00:08
URI:	https://usir.salford.ac.uk/id/eprint/48854

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