THERMAL SCIENCE

International Scientific Journal

Dragan V. Čukanović

,

Gordana M. Bogdanović

,

Aleksandar B. Radaković

,

Dragan I. Milosavljević

,

Ljiljana V. Veljović

,

Igor M. Balać

COMPARATIVE THERMAL BUCKLING ANALYSIS OF FUNCTIONALLY GRADED PLATE

ABSTRACT
A thermal buckling analysis of functionally graded thick rectangular plates accord¬ing to von Karman non-linear theory is presented. The material properties of the functionally graded plate, except for the Poisson’s ratio, were assumed to be graded in the thickness direction, according to a power-law distribution, in terms of the volume fractions of the metal and ceramic constituents. Formulations of equilibrium and stability equations are derived using the high order shear deformation theory based on different types of shape functions. Analytical method for determination of the critical buckling temperature for uniform increase of temperature, linear and non-linear change of temperature across thickness of a plate is developed. Numeri¬cal results were obtained in МATLAB software using combinations of symbolic and numeric values. The paper presents comparative results of critical buckling tempera¬ture for different types of shape functions. The accuracy of the formulation presented is verified by comparing to results available from the literature.
KEYWORDS
thermal buckling, von Karman nonlinear theory, power-law distribution, HSDT theory, shape function
PAPER SUBMITTED: 2016-06-14
PAPER REVISED: 2016-07-08
PAPER ACCEPTED: 2016-07-21
PUBLISHED ONLINE: 2016-08-07
DOI REFERENCE: https://doi.org/10.2298/TSCI160614182C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 6, PAGES [2957 - 2969]
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Comparative thermal buckling analysis of functionally graded plate

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence