Three-dimensional thermo-elasticity solution of sandwich cylindrical panel with functionally graded core

Based on theory of elasticity, static analysis of a simply supported sandwich panel with functionally graded material (FGM) core subjected to thermo-mechanical mechanical load is carried out. The thermo-elastic constants of the FGM core layer are assumed to be graded in the radial direction according to the power-law of constituents while the Poisson's ratio is assumed to be constant. Analytical solutions for the temperature, stress and displacement fields for the sandwich panel with simply-supported edges are derived by using the Fourier series expansions along the axial and circumferential direction and state-space technique along the radial direction. Accuracy and convergence of the presents approach are validated by comparing the numerical results with those found in literature. In addition, the effects of surface boundary conditions, gradient index, span angle, facing layers thickness and axial length to mid radius ratio on the behavior of the sandwich panel are studied.