Strain Variation with Doppler Shifts on the Free Surface of an Elastic Body

The paper considers the problem of elastic wave reflection from a free surface moving with a constant velocity. Analytical expressions in the approximation of geometrical acoustics are derived for the frequency shifts, angles of reflection, and reflection coefficients of P, SV, and SH waves to estim...

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Bibliographic Details
Published in:Physical mesomechanics 2020-05, Vol.23 (3), p.205-212
Main Authors: Chertova, N. V., Grinyaev, Yu. V.
Format: Article
Language:English
Subjects:
Anelasticity
Angle of reflection
Classical Mechanics
Elastic waves
Free boundaries
Free surfaces
Geometrical acoustics
Incidence angle
Materials Science
Mathematical analysis
Physics
Physics and Astronomy
SH waves
Solid State Physics
Strain
Wave reflection
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Summary:The paper considers the problem of elastic wave reflection from a free surface moving with a constant velocity. Analytical expressions in the approximation of geometrical acoustics are derived for the frequency shifts, angles of reflection, and reflection coefficients of P, SV, and SH waves to estimate the strain state at the free surface. Based on respective calculations, the reflection coefficients and strain amplitudes at the free surface are analyzed as against each other and against the wave incidence angle, surface velocity, and elastic material parameters. The strain variation due to the motion of a free boundary is compared with frequency shifts.
ISSN:1029-9599
1990-5424
DOI:10.1134/S1029959920030042