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Thermal buckling, FGM plates, Thin plate, Higher order plate theories, Variable thickness plate

In this research, thermal buckling of thin plate made of Functionally Graded Materials (FGM) with linear varying thickness is considered. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The supporting condition of all edges of such a plate is simply supported the equilibrium and stability equations of a FGM plate under thermal loads derived based on higher order plate theories via variation formulation, and are used to determine the pre-buckling forces and the governing deferential equation of the plate the buckling analysis of a functionally graded plate is conducted using; the uniform temperature rise, having temperature gradient through the thickness, and linear temperature variation in the thickness and closed–form solutions are obtained. The buckling load is defined in a weighted residual approach. In a special case the obtained results are compared by the results of functionally graded plates with uniform thickness. The influences of the plate thickness variation and the edge ratio on the critical loads are investigated. Finally, different plots indicating the variation of buckling loads. Different gradient exponent k, different geometries and loading conditions were obtained.