The influences of external magnetic field on the reflection and transmission waves at the interface of two dipolar gradient elastic solids.

• A new model of elastic wave propagation incorporating the microstructure effects and the Lorentz force is proposed. • The microstructure effects are modelled by the dipolar gradient elasticity and the influences on wave propagation are discussed. • The Lorentz force due to the external magnetic field is derived and the influences on wave propagation are discussed. • The reflection and transmission for incident P wave, SV wave and SH wave are provided. • The influences of the direction of external magnetic field deviating from the incident direction are discussed. The elastic wave propagation and the reflection and transmission at interface with consideration of the microstructure effects and the Lorentz force simultaneously are investigated in the present work. The microstructure effects are modelled by the dipolar gradient elasticity and the Lorentz force due to the external magnetic field is derived by the electromagnetic induction law and Maxwell equation. The numerical results are provided for incident P wave, incident SV wave and incident SH wave, respectively. It is found that the microstructure effects induce the dispersive feature of elastic waves but the external magnetic field do not contribute to the dispersion with only influence on the amplitude of speed. The surface waves are more sensitive to the external magnetic field and the microstructure effects compared with the bulk waves. [ABSTRACT FROM AUTHOR]