Abstract
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.
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