Reflection and transmission of thermoelastic waves under an external magnetic field based on GN-II heat conduction and dipolar gradient elasticity

Abstract

This paper explores the influences of the external magnetic field, microstructural effects, and thermal effects on the reflection and transmission behaviors of macro–micro coupled waves. The microstructural effects are manifested by dipolar gradient elasticity. The heat conduction phenomenon is described using the non-Fourier law without energy dissipation (GN-II). The Lorentz force resulting from the external magnetic field is deduced based on the electromagnetic induction law and Maxwell’s equations. Numerical results are presented for the case of an incident CP1 wave. It is discovered that both the microstructural effect and the thermal effects give rise to the dispersive feature of elastic waves. Although the external magnetic field does not play a role in causing dispersion, it significantly affects the reflection and transmission amplitudes.