Temperature Stresses in a Functionally Graded Cylindrical Shell

For functionally gradient isotropic circular cylindrical shells, we propose the nonstationary heatconduction and thermoelasticity equations with appropriate boundary conditions. The thermoelasticity equations take into account both transverse shear and transverse normal strains. The temperature distribution over the thickness of the shell is assumed to be linear. As the shell material, we take a metal–ceramics composite. The volume fractions of these components vary across the thickness of the shell according to a power law. The solution of the quasistatic problem of thermoelasticity for a finite simply supported shell subjected to local heating is obtained by the methods of Fourier and Laplace transformations.