Propagation of coupled waves across a magneto-electro-thermo-elastic interface with consideration of fractional order thermoelasticity and microstructural effect

Effects of external magnetic field, microstructural effects and thermal effects on the dispersion and attenuation feature of elastic waves as well as the reflection and transmission behavior of coupled waves are studied in the paper. The microstructure effects are reflected by the dipolar gradient elasticity. The heat conduction behavior is modeled by non-Fourier law with the fractional order derivatives. The Lorentz force due to the external magnetic field is derived by the electromagnetic induction law and Maxwell equation. The numerical results are provided in the case of incident P wave. It is found that the microstructure effect induces the dispersive feature of elastic waves, while the dispersion and attenuation features are both induced by the thermal effects. The external magnetic field does not contribute to the dispersion but only influence on the amplitude of speed. The fractional order heat conduction only has evident influences on the propagation of thermal wave.