Elastic waves in a soft electrically conducting solid in a strong magnetic field
Files
Accepted manuscript
Date
2017-05
DOI
Authors
Gendin, Daniel
Barbone, Paul E.
Version
OA Version
Citation
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
Abstract
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.