On thermal stability of plates with functionally graded coefficient of thermal expansion

Abdelmoumen Anis Bousahla , Samir Benyoucef , Abdelouahed Tounsi , S.R. Mahmoud

Abstract

In this article, a four-variable refined plate theory is presented for buckling analysis of functionally graded plates subjected to uniform, linear and non-linear temperature rises across the thickness direction. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Young\'s modulus and Poisson ratio of the FGM plates are assumed to remain constant throughout the entire plate. However, the coefficient of thermal expansion of the FGM plate varies according to a power law form through the thickness coordinate. Equilibrium and stability equations are derived based on the present theory. The influences of many plate parameters on buckling temperature difference such ratio of thermal expansion, aspect ratio, side-to-thickness ratio and gradient index will be investigated.

Key Words

thermal properties; buckling; refined plate theory; functionally graded material; thermal expansion ratio; analytical modeling

Address

Abdelmoumen Anis Bousahla — Centre Universitaire de Relizane, Algerie; Laboratoire de Modelisation et Simulation Multi-echelle, Université de Sidi Bel Abbes, Algeria
Samir Benyoucef — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Abdelouahed Tounsi — Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbés, Algeria; Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
S.R. Mahmoud — Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia; Mathematics Department, Faculty of Science, University of Sohag, Egypt

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