We analyze stress effects on multilayered cylinders subjected to a high rate of thermal loading. Thermomechanical coupling is considered, but inertia effect is neglected. Cylindrical symmetry of the structure and of the loading are assumed under plane strain conditions. The solution procedures use the method of the complex frequency response functions in conjunction with the Fourier transform technique. Different coupling parameters and various loading conditions are considered in this study. The results show the coupling term plays an important role for large coupling parameter in thermal shock problem.