Thermoelastic Analysis in Thick FGM Cylinders with Extended Profile

An exact solution is obtained for an axisymmetric steady-state thermo-mechanical stresses in a thick functionally graded cylinder. The material properties are graded along the radial direction according to an exponential function of radial direction with three constants. The advantage of the proposed model, compared to the models with two constants such as the linear, power law, and exponential models with two constants, is that it satisfies the material boundary conditions at the inside and outside radiuses, leaving one more constant to be selected to produce different types of material variation profiles along the cylinder radius. Utilizing the assumed exponential model, the analytical solution of the problem, using the generalized Bessel function and the Lagrange method, is obtained employing the energy and Navier equations.