The Impact of Two-Temperature and Magnetic Field on Gravitational Piezo-Thermoelastic Medium in the Context of Dual-Phase-Lag Theory

In the present work, we study the influence of gravity, magnetic field and two-temperature on piezothermoelastic media considering the theory of Dual-phase-Lag “DPL.” The fundamental equations for the problem in the context of the phenomenon parameters and boundary conditions have been formulated. An analytic expressions for the displacement components, stress components, temperature, and the components of strain tensors are investigated using the technique of normal mode. The conditions for the Mechanical and Maxwell’s stresses and the temperature have been taken on the interface of the medium. The obtained results by applying the “DPL” theory are shown to be very close to each other except in determining one of the electric displacement components where the results differ and in general the effect of the presence of two-temperature, gravity, and magnetic field. The results obtained in the context of the new parameters and two theories are calculated analytically and displayed by graphs. A comparison has been made with the previous results obtained by others that show the impact of the new parameters. The theoretical and numerical computations are found to be in close agreement.