On quasi-lamb waves in the system "ideal fluid half-space — elastic layer with initial stresses"
DOI:
https://doi.org/10.15407/dopovidi2017.03.022Keywords:
compressible and incompressible elastic layers, dispersion of waves, half-space of an ideal compressible fluid, initial stressesAbstract
The dispersion curves of normal quasi-Lamb waves in a hydroelastic system are constructed over a wide range of frequencies, by using the three-dimensional linearized equations of elasticity theory of finite deformations for a solid body and the three-dimensional linearized Euler equations for an ideal compressible fluid. The influence of initial stresses in the pre-deformed elastic layer and of the half-space of an ideal compressible fluid on the phase velocities of quasi-Lamb waves in a hydroelastic waveguide is analyzed. The numerical results are presented in the form of graphs, and their analysis is given.
Downloads
References
Viktorov, I. A. (1981). Sound surface waves in solids. Moscow: Nauka (in Russian).
Guz, A. N., Zhuk, A. P. & Bagno, A. M. (2016). Dynamics of bodies, solid particles, and fluid particles in a compressible viscous fluid (review). Int. Appl. Mech., 52, No. 5, pp. 449-507. https://doi.org/10.1007/s10778-016-0770-6
Guz, A. N. (1980). Aerohydroelasticity problems for bodies with initial stresses. Soviet Applied Mechanics, 16, Iss. 3, pp.175-190. https://doi.org/10.1007/BF00885084
Guz, A. N. (1986). Elastic waves in bodies with initial stresses. In 2 vols. Kyiv: Naukova Dumka (in Russian).
Guz, A. N. (2004). Elastic waves in bodies with initial (residual) stresses. Kyiv: A.C.K. (in Russian).
Guz, A. N. (1998). Dynamics of compressible viscous fluid. Kyiv: A.C.K. (in Russian).
Guz, A. N. (2009). Dynamics of compressible viscous fluid, Cambridge: Cambridge Scientific Publishers.
Guz, A. N., Zhuk A. P., & Makhort F. G. (1976). Waves in layer with initial stresses. Kyev: Naukova Dumka (in Russian).
Babich, S. Y., Guz, A. N. & Zhuk, A. P. (1979). Elastic waves in bodies with initial stresses. Soviet Applied Mechanics, 15, Iss. 4, pp. 277-291. https://doi.org/10.1007/BF00884760
Zhuk, A. P. (1980). Stoneley waves in a medium of initial stresses. Prikl. mekhanika, 16, No. 1, pp. 113-116 (in Russian).
Guz, A.N., Makhort, F.G., & Guscha, O.I. (1977). Introduction in acoustoelasticity, Kyiv: Naukova Dumka (in Russian).
Volkenshtein, M. M. & Levin, V. M. (1988). Stoneley wave structure on the boundary of a viscous liquid and solid. Acoustic J., 34, No. 4, pp. 608-615 (in Russian).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
