Reflection of Elastic Waves in Dipolar Gradient Half-Space under the Control of External Magnetic Field
Reflection of elastic waves at the interface of dipolar gradient elastic solids under the control of external magnetic field is studied in this paper.The microstructural effects become more pronounced as the incident wavelength is close to the characteristic length of microstructure or high frequency.Firstly,the dispersion equation of the elastic wave propagation is derived by the dipolar strain gradient theory and Maxwell electromagnetic theory.Then,the reflected-to-incident amplitude ratios of the P-waveand SV-wave incidences are calculated according to the interface conditions.Finally,the influences of the external magnetic field and the wavelength of the incident wave on the propagation of the reflected wave are discussed based on the numerical results.It is found that the microstructural effect can lead to the generation of new wave modes and the appearance of the dispersion characteristics of the elastic wave,while the external magnetic field only affects the velocity of the elastic wave propagation through the Lorentz force,but does not produce new wave modes and affect the dispersion properties of the elastic wave.
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