Effect of Prestresses on Lamb Waves in a System Consisting of an Ideal Liquid Half-Space and an Elastic Layer

A problem is formulated for quasi-Lamb waves propagating in a prestrained elastic layer interacting with a half-space of compressible ideal fluid. The results are obtained using the three-dimensional equations of linearized theory of finite deformations for the elastic layer and the three-dimensiona...

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Bibliographic Details
Published in:International applied mechanics 2018-09, Vol.54 (5), p.495-505
Main Authors: Guz, A. N., Bagno, A. M.
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Classical Mechanics
Compressibility
Elastic deformation
Elastic layers
Euler-Lagrange equation
Half spaces
Ideal fluids
Initial stresses
Lamb waves
Linearization
Mathematical models
Physics
Physics and Astronomy
Thickness
Wave propagation
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Summary:A problem is formulated for quasi-Lamb waves propagating in a prestrained elastic layer interacting with a half-space of compressible ideal fluid. The results are obtained using the three-dimensional equations of linearized theory of finite deformations for the elastic layer and the three-dimensional linearized Euler equations for the compressible ideal fluid. The problem statement and the approach are based on the general solutions of the linearized equations for elastic solid and fluid. The dispersion equations that describe the propagation of quasi-Lamb waves in hydroelastic systems over a wide frequency range are obtained. The effect of initial stresses and half-space of compressible ideal fluid and the thickness of the elastic layer on the phase velocities of quasi-Lamb modes is analyzed. The approach developed and the results obtained for wave processes allow establishing the limits of applicability of the models based on different versions of the theory of small initial deformations. The numerical results are presented in the form of graphs and are analyzed.
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-018-0902-2