Three‐Dimensional Solutions for Thermal Buckling of Multilayered Anisotropic Plates
- 1 April 1992
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Engineering Mechanics
- Vol. 118 (4), 683-701
- https://doi.org/10.1061/(asce)0733-9399(1992)118:4(683)
Abstract
Analytic three‐dimensional elasticity solutions are presented for the thermal buckling problem of multilayered anisotropic plates. The plates are assumed to have rectangular geometry and an antisymmetric lamination with respect to the middle plane. The temperature is assumed to be independent of the surface coordinates, but it has an arbitrary symmetric variation through the thickness of the plate. No external loads are present, but the motion of the plate is partially restrained in its plane. A mixed formulation is used, with the fundamental unknowns consisting of the six stress components and the three displacement components of the plate. The prebuckling deformations are taken into account. Each of the plate variables is decomposed into symmetric and antisymmetric components in the thickness direction, and is expressed in terms of a double Fourier series in the Cartesian surface coordinates. Extensive numerical results are presented showing the effects of the prebuckling deformation on the critical temperature, as well as the effects of variation in the lamination and geometric parameters of composite plates on the importance of the transverse stress and strain components.Keywords
This publication has 14 references indexed in Scilit:
- Predictor-corrector procedures for thermal buckling analysis of multilayered composite platesComputers & Structures, 1991
- Thermal buckling of laminated composite plates with transverse shear deformationComputers & Structures, 1990
- Three-Dimensional Solutions for Antisymmetrically Laminated Anisotropic PlatesJournal of Applied Mechanics, 1990
- Effect of shear deformation on vibration of antisymmetric angle-ply laminated rectangular platesInternational Journal of Solids and Structures, 1978
- Exploiting Symmetries for Efficient Post buckling Analysis of Composite PlatesAIAA Journal, 1977
- Symmetry considerations for anisotropic shellsComputer Methods in Applied Mechanics and Engineering, 1976
- Thermoelastic stability of laminated orthotropic circular platesActa Mechanica, 1975
- A refined analysis of composite laminatesJournal of Sound and Vibration, 1973
- Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminatesInternational Journal of Solids and Structures, 1970
- An Introduction to Applied Anisotropic ElasticityPhysics Today, 1961