Thermoelastic analysis of transient FGM thick cylindrical shells using first order shear deformation theory with considering the vertical transverse strains according to Mirsky- Herman assumption

In this article, analytical formulation of axisymmetric FGM thick-walled cylinders with power varying of mechanical and thermal properties under transient heating using first order shear deformation theory is presented. Equilibrium equations are derived from virtual work principles and energy method. Also, the transient heat transfer equation is solved by separation of variables, generalized Bessel function, and Eigenfunction method. General thermal boundary condition involving conduction and convection without heat source is considered. At the end the results of the analytical solution are compared with the finite element method, for this aim cylinder is modeled in Abaqus. The effects of time varying on stress and displacement distribution has been studied in this paper. according to results increasing time lead to increase the stress and displacement, by the way after a moment the stress and displacement are time-independent and they become constant. the boundary condition of two ends and thermal boundary condition play a significant role in results.