A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: A state-space approach

We construct a model of two-temperature generalized thermoelasticity for an elastic half-space with constant elastic parameters.The Laplace transform and state-space techniques are used to obtain the general solution for any set of boundary conditions.The general solution obtained is applied to the specific problem of a half-space subjected to a moving heat source with constant velocity and ramp-type heating.The inverse Laplace transforms are computed numerically.The effects of different values of the heat source velocity, the two-temperature parameter, and the ramping time parameter are compared.A list of symbols can be found on page 1648.