Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions

Yang, J and Shen, H 2003, 'Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions', Composites Part B: Engineering, vol. 34, no. 2, pp. 103-115.


Document type: Journal Article
Collection: Journal Articles

Title Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions
Author(s) Yang, J
Shen, H
Year 2003
Journal name Composites Part B: Engineering
Volume number 34
Issue number 2
Start page 103
End page 115
Total pages 13
Publisher Pergamon
Abstract Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads and under various boundary conditions is presented. Theoretical formulations are based on Reddy's higher order shear deformation plate theory and include the thermal effects due to temperature rise. Material properties are assumed to be temperature-dependent and graded in the thickness direction according to a power law distribution in terms of the volume fractions of the constituents. The temperature field considered is assumed to be uniform in the XY plane and through the plate thickness. The plate may be clamped or simply supported on two opposite edges with the remaining others being either free, simply supported or clamped. A semi-numerical approach, which makes use of multi-parameter perturbation technique, one-dimensional differential quadrature approximation and Galerkin method, is employed to calculate the nonlinear bending of the plates. Numerical results for silicon nitride/stainless steel rectangular plates are given in dimensionless graphical forms. The roles played by the constituent volume fraction index, temperature rise, character of out-of-plane boundary conditions and in-plane constraints, width-to-thickness ratio as well as plate aspect ratio are studied.
Subject Chemical Engineering not elsewhere classified
Keyword(s) bending (deformation)
boundary conditions
functionally graded materials
nonlinear equations
shear deformation
DOI - identifier 10.1016/S1359-8368(02)00083-5
Copyright notice © 2003 Elsevier Science Ltd. All rights reserved.
ISSN 1359-8368
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