Generalized thermoelastic axi-symmetric deformation problem in a thick circular plate with dual phase lags and two temperatures

In the present work, a thick circular plate with axisymmetric heat supply has been considered. It is assumed that lower and upper surfaces of the plate are traction free. The plate is subjected to an axisymmetric heat supply depending on the radial and axial directions of the cylindrical polar co-ordinate system with symmetry about z-axis. The initial temperature in the thick plate is given by a constant temperature T₀ and the heat flux is prescribed on the upper and lower boundary surfaces. Integral transform technique and its inversion is applied to determine displacement components, stresses, conductive temperature and temperature change. The results have been computed numerically and are illustrated graphically.