Hybrid integral transform and finite element methods for thermo-elastic analysis of thickcylindrical shells

This article introduces a novel mixed method that combinesthe fast Fourier Transform (FFT) and a conventional FiniteElement Method (FEM) for investigating a thermomechanicalproblem with asymmetric loading. The elastostaticgoverning equations with the effect of thermalconductivity are derived using principle of virtual work incylindrical coordinates. Plane strain assumption isconsidered for a long cylinder in the analysis. FFT isutilized in circumferential direction to discretize equationsand related boundary conditions. FEM is then applied ontoremaining equations. For convergence study, the resultsobtained from this method are compared with those ofextracted from exact solutions. In thermo-elastic analysis oflong cylinder, it is observed that the present method benefitsfrom some features such as fast convergence and lowcomputational cost.