Stresses of a Symmetric Lamb Wave in the Middle-Wavelength Range: Study of an Internal Wave

The paper considers the stress-strain state of an elastic unbounded plate during propagation of the fundamental mode of a symmetric Lamb wave. Particular attention is paid to the case of the medium-wavelength range; i.e., wavelength comparable to the thickness of the plate. The stress fields of medi...

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Bibliographic Details
Published in:Acoustical physics 2022-04, Vol.68 (2), p.101-109
Main Author: Mokryakov, V. V.
Format: Article
Language:English
Subjects:
Acoustics
Classical Problems of Linear Acoustics and Wave Theory
Comparative analysis
Internal waves
Lamb waves
Physics
Physics and Astronomy
Propagation modes
Sensors
Strain
Stress distribution
Stress propagation
Wave propagation
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Summary:The paper considers the stress-strain state of an elastic unbounded plate during propagation of the fundamental mode of a symmetric Lamb wave. Particular attention is paid to the case of the medium-wavelength range; i.e., wavelength comparable to the thickness of the plate. The stress fields of medium-length waves are compared with the stress fields of the long-wave and short-wave approximations. An internal wave is found for which, for a linear elastic model on the surface of a plate, all strain and stress components, as well as longitudinal displacements, are equal to zero and their localization occurs in the bulk of the plate. This means that surface displacement sensors are inefficient for recording such a wave. It is proved that in this case, the material is in a pure shear state; i.e., the first invariant is zero.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771022020063