Abstract: Based on the L-S generalized thermoelasticity, one dimensional problem of a solid cylinder subjected thermal shock is studied. In accordance with the transient behaviors of thermal shock, the approximate short-time analytical solutions of the temperature, displacement and stresses are obtained via the Laplace transform and inverse transform. Numerical simulation is conducted for an isotropic solid cylinder, and the distribution of each physical field including the temperature, radial displacement, radial stress, hoop stress and axial stress are obtained, and the influence of the delay and the coupling effects on these distributions are also obtained. The results show that the thermal disturbance propagates forwards with two different velocities when the effects of the delay and coupling are considered, and these effects have influences on the time of each physical field began to establish, the intervals of two jumps and the peak values of jumps.