Elastic waves in a soft electrically conducting solid in a strong magnetic field
Barbone, Paul E.
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Citation (published version)Daniel Gendin, PE Barbone. 2017. "Elastic waves in a soft electrically conducting solid in a strong magnetic field." 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation
Shear wave motion of a soft, electrically-conducting solid in the presence of a strong magnetic field excites eddy currents in the solid. These, in turn, give rise to Lorentz forces that resist the wave motion. We derive a mathematical model for linear elastic wave propagation in a soft electrically conducting solid in the presence of a strong magnetic field. The model reduces to an effective anisotropic dissipation term resembling an anisotropic viscous foundation. The application to magnetic resonance elastography, which uses strong magnetic fields to measure shear wave speed in soft tissues for diagnostic purposes, is considered.