An analytical solution for steady state three dimensional thermoelasticity of functionally graded circular plates due to axisymmetric loads

• We proposed analytical solution for thermoelasticity of FG plates in 3D form.
• Thermal boundary conditions are of general form.
• Using FG materials enhance material behavior in terms of stress and strain.
• Effect of thickness to stress and displacement is examined.
• Effect of young modulus on thermo-elastic behavior of FG material is examined.

In this paper, exact solution of steady state thermo-elastic problem of three dimensional circular plate made of functionally graded material is developed. The thermal and mechanical loads on upper and lower surfaces are assumed to apply axisymmetric and a simply supported boundary conditions on the lateral surface of the plate is considered, where no limiting assumption is used. The material properties, except Poisson's ratio, are assumed to varying exponentially across the thickness direction. A full analytical method is used, and an exact analytical solution is presented.