Non-linear analysis of functionally graded plates under transverse and in-plane loads

Yang, J and Shen, H 2003, 'Non-linear analysis of functionally graded plates under transverse and in-plane loads', International Journal of Non-Linear Mechanics, vol. 38, no. 4, pp. 467-482.


Document type: Journal Article
Collection: Journal Articles

Title Non-linear analysis of functionally graded plates under transverse and in-plane loads
Author(s) Yang, J
Shen, H
Year 2003
Journal name International Journal of Non-Linear Mechanics
Volume number 38
Issue number 4
Start page 467
End page 482
Total pages 16
Publisher Pergamon
Abstract Large deflection and postbuckling responses of functionally graded rectangular plates under transverse and in-plane loads are investigated by using a semi-analytical approach. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The plate is assumed to be clamped on two opposite edges and the remaining two edges may be simply supported or clamped or may have elastic rotational edge constraints. The formulations are based on the classical plate theory, accounting for the plate-foundation interaction effects by a two-parameter model (Pasternak-type), from which Winkler elastic foundation can be treated as a limiting case. A perturbation technique in conjunction with one-dimensional differential quadrature approximation and Galerkin procedure are employed in the present analysis. The numerical illustrations concern the large deflection and postbuckling behavior of functional graded plates with two pairs of constituent materials. Effects played by volume fraction, the character of boundary conditions, plate aspect ratio, foundation stiffness, initial compressive stress as well as initial transverse pressure are studied.
Subject Applied Mathematics not elsewhere classified
Keyword(s) approximation theory
aspect ratio
boundary conditions
buckling
compressive stress
deflection (structures)
differential equations
elasticity
foundations
functionally graded materials
Galerkin methods
loads (forces)
nonlinear systems
perturbation techniques
stiffness
volume fraction
DOI - identifier 10.1016/S0020-7462(01)00070-1
Copyright notice © 2003 Elsevier Science Ltd. All rights reserved.
ISSN 0020-7462
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