Abstract
A mathematical model of electro-thermoelasticity has been constructed in the context of a new consideration of heat conduction with phase-lag Green-Naghdi theory without energy dissipation (GN-II). The equations for one-dimensional problems including heat sources are cast into matrix form using the state space and Laplace transform techniques. The resulting formulation is applied to a problem for the whole space with a plane distribution of heat sources. It is also applied to a thermoelectric semi-space problem with a traction-free surface and plane distribution of heat sources located inside the medium. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results for the temperature, displacement, and stress distributions are given and illustrated graphically for the whole space with a plane distribution of heat sources problem.