Transient Analysis of Functionally Graded Cylindrical Shells Subjected to Asymmetric Thermo-mechanical Shock Loads with Temperature Dependent Material Properties

A three-dimensional hybrid method is developed for transient analysis of functionally graded thick hollow cylinders subjected to asymmetric dynamic pressure and thermal shock loads. The material properties of the shell are temperature dependent and graded continuously in the radial direction. The hybrid solution method is composed of the layerwise theory, differential quadrature method, and Fourier series expansion. This research shows some interesting results that can be helpful for design of FG shells subjected to transient pressure and thermal shock simultaneously. To verify the precision of this method, the developed results are compared with the experimental and numerical results presented in the available literatures. Then, by employing the proposed method for a selected FG cylinder, the temperature dependent dynamical behavior of the shell subjected to thermal shock and asymmetric transient pressure was studied. Finally, the effect of different parameters on this behavior was studied. Also the fast convergence rate of the presented solution is demonstrated.