On quasi–Lamb waves in the system "a layer of ideal fluid – a compressible elastic layer with initial stresses"

TitleOn quasi–Lamb waves in the system "a layer of ideal fluid – a compressible elastic layer with initial stresses"
Publication TypeJournal Article
Year of Publication2016
AuthorsBahno, OM
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2016.03.038
Issue3
SectionMechanics
Pagination38-47
Date Published3/2016
LanguageRussian
Abstract

Basing on the three-dimensional linearized equations of the elasticity theory of finite deformations for a solid and the three-dimensional linearized Euler equations for an ideal compressible fluid, the dispersion curves of quasi–Lamb normal waves in a hydroelastic system are constructed in a wide range of frequencies. The effects of initial stresses in the pre–deformed compressible elastic layer and the fluid layer thickness on the phase velocities of the quasi-Lamb modes in a hydroelastic waveguide are analyzed. The numerical results are presented in the form of graphs, and their analysis is given.

Keywordscompressible elastic layer, dispersion of waves, initial stresses, layer of ideal compressible fluid
References: 
  1. Viktorov I. A. Sound surface waves in solids, Moscow: Nauka, 1981 (in Russian).
  2. Kuznetsov S. V. Acoustic J., 2014, 60, No 1: 90–100 (in Russian).
  3. Bagno A. M., Guz A. N. Int. Appl. Mech., 1997, 33, No 6: 435–463. https://doi.org/10.1007/BF02700652
  4. Guz A. N. Int. Appl. Mech., 1980, 16, No 3: 175–190.
  5. Guz A. N. Elastic waves in bodies with initial stresses. In 2 Vol., Kyiv: Nauk. Dumka, 1986 (in Russian).
  6. Guz A. N. Elastic waves in bodies with initial (residual) stresses, Kyiv: A.C.K., 2004 (in Russian).
  7. Guz A. N. Dynamics of compressible viscous fluid, Kyiv: A.C.K., 1998 (in Russian).
  8. Guz A. N. Dynamics of compressible viscous fluid, Cambridge Scientific Publishers, 2009.
  9. Guz A. N., Zhuk A. P., Makhort F. G. Waves in layer with initial stresses, Kyiv: Nauk. Dumka, 1976 (in Russian).
  10. Babich S. Y., Guz A. N., Zhuk A. P. J. Appl. Mech., 1979, 15, No 4: 3–23 (in Russian).
  11. Zhuk A. P. J. Appl. Mech., 1980, 16, No 1: 113–116 (in Russian).
  12. Guz A. N., Makhort F. G., Guscha O. I. Introduction in acoustoelasticity, Kyiv: Nauk. Dumka, 1977 (in Russian).
  13. Volkenstein M. M., Levin V. M. Acoustic J., 1988, 34, No 4: 608–615 (in Russian).