Electromagneto -Thermoelastic Microelongated Plate in the Context of the Dual Phase Lag Model with Gravity Field

In this study, the electromagneto-thermoelastic behavior of a microelongated elastic plate subjected to initial stress and gravitational effects is investigated within the framework of the dual-phase-lag (DPL) heat conduction model. The governing equations are formulated based on the generalized theory of thermoelasticity with microelongation, incorporating the effects of an external electromagnetic field, gravity, and internal heat sources. The analysis is restricted to a two-dimensional configuration in the \(\:\text{x}-\text{z}\:\) plane, and the resulting coupled system is rendered dimensionless to facilitate numerical computation. By employing scalar and vector potential functions, the field equations are decoupled and solved using a normal mode technique. Exact analytical expressions for displacement components, temperature distribution, stress components, and microelongation are obtained. Numerical results are presented graphically to illustrate the influence of key physical parameters, including phase-lag times, gravity, electromagnetic field strength, wave number, and angular frequency. The results reveal that the dual-phase-lag effects and electromagnetic coupling significantly modify the propagation characteristics and attenuation behavior of thermoelastic waves, highlighting the importance of microstructural and multiphysics interactions in advanced elastic materials.