Abstract
The three-phase-lag model and Green–Naghdi theory without energy dissipation are employed to study the deformation of a two-temperature generalized-magneto thermoelastic medium with an internal heat source that is moving with a constant speed under the hydrostatic initial stress and the rotation. Normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, thermal temperature and conductive temperature. The numerical results are given and presented graphically when mechanical force is applied. Comparisons are made with the results of the two models for two different values of the hydrostatic initial stress. Also, comparisons are made with results of the two models with and without the rotation as well as the two-temperature.
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