Stability of thin cylindrical shells under coupled thermoelastic assumption

Abstract Kinematically nonlinear coupled thermoelasticity of the FGM cylindrical shell is investigated under heat shock. The energy and equations of motion are solved simultaneously as a system of equations for an FG cylindrical shell. The classical theory of coupled thermoelasticity is used to solve the problem. The first-order shear deformation theory for the shell is considered. Also, the terms thermal coupling and rotational inertia are included in the solution. The finite element method is employed to solve the problem numerically in the space domain and the Newmark method in the time domain. Temperature distribution across the shell thickness is assumed to be linear. The radial displacement for different values of the power law index is plotted in terms of time. The occurrence of thermal buckling is examined.