Equivalent layered models for functionally graded plates

Kennedy, David ORCID: https://orcid.org/0000-0002-8837-7296, Cheng, R. K. H., Wei, S. and Alcazar Arevalo, F. J. 2016. Equivalent layered models for functionally graded plates. Computers & Structures 174 , pp. 113-121. 10.1016/j.compstruc.2015.09.009

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Abstract

Functionally graded plates whose material properties vary continuously through the thickness are modelled as exactly equivalent plates composed of up to four isotropic layers. Separate models are derived for analysis using classical plate theory, first-order and higher-order shear deformation theory. For cases where Poisson’s ratio varies through the thickness, the integrations required to obtain the membrane, coupling and out-of-plane stiffness matrices are performed accurately using a series solution. The model is verified by comparison with well converged solutions from approximate models in which the plate is divided into many isotropic layers. Critical buckling loads and undamped natural frequencies are found for a range of illustrative examples.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Functionally graded; Plates; Vibration; Dynamic stiffness; Wittrick–Williams algorithm; Transverse shear
Publisher:	Elsevier
ISSN:	0045-7949
Date of First Compliant Deposit:	15 July 2016
Date of Acceptance:	22 September 2015
Last Modified:	06 Jan 2024 20:13
URI:	https://orca.cardiff.ac.uk/id/eprint/92806

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