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In this work, a mathematical system of wave propagation in generalized thermo-piezoelectric anisotropic smart material under primary magnetic field and rotation influence is considered. The system of equations for this phenomenon are given in the case of generalized thermoelasticity for three models, namely, Lord–Shulman (LS), Green–Lindsay (GL), and dual-phase-lag (DPL). Furthermore, it is assumed the whole medium is revolved with a regular angular velocity and perturbed magnetic field. Next, the normal mode technique is given to the set of partial differential equations to produce the corresponding ordinary differential equations whose exact analytical solutions will be found. The distributions of the considered variables such as the horizontal and vertical displacements, the temperature, the stress components, the electric potential, and the electric displacement are calculated numerically. Finally, the impacts of the rotation, primary magnetic field, and thermal relaxation times have been illustrated graphically which were noticeable on the various physical quantities.

Effect of primary magnetic intensity and rotation on wave propagation in generalized thermo-piezoelectric anisotropic smart materials