Radially symmetric temperature-rate dependent thermoelastic wave propagation in an infinitely extended thin plate containing a circular hole

Temperature-rate dependent thermoelasticity theory is employed to study the distribution of temperature, deformation and stresses in an infinitely extended isotropic elastic thin plate containing a circular hole by taking (i) step-input of temperature and zero stress and (ii) step-input of stress and zero temperature change at the boundary of the hole. Because of the short duration of the second sound effects, short-time approximations of the solutions are studied using Laplace transform on time. It is found that the temperature, displacement and stresses are discontinuous at the wave fronts in case (i) and the exact discontinuities at the wave fronts are studied whereas in case (ii) temperature and displacement are found to be continuous at both the wave fronts but the stresses are found to be discontinuous at both the wave fronts.