Comparative Thermal Buckling Analysis of Functionally Graded Plate
Čukanović, Dragan
Veljović, Ljiljana
Balać, Igor
Bogdanović, Gordana
Radaković, Aleksandar
Milosavljević, Dragan
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.
engleski
2017
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Keywords: thermal buckling, von Karman non-linear theory, shape function, higher-order shear deformation theory, power-law distribution