Dual-Phase-Lag Heat Transfer in a Magneto-thermoelastic Medium with Diffusion

A two-dimensional model of equations for a homogeneous, isotropic, thermally and perfectly conducting elastic medium is established under the purview of dual-phase-lag thermoelasticity theory with diffusion. By using normal mode analysis, the analytical expressions for the displacement components, stresses, concentration and temperature field are obtained in the physical domain. Finally, these expressions are calculated numerically for a copper-like material and depicted graphically to observe the effects of phase lags and diffusion. Moreover, some particular cases of interest have been deduced from the present investigation. The datum of a finite speed of propagation is observed graphically for each field.