Nonlinear anharmonic disturbances of elastic surface Love waves under rigid fixation of the waveguide-Reference-Cited by-同舟云学术

Nonlinear anharmonic disturbances of elastic surface Love waves under rigid fixation of the waveguide

Published:2018-12-28 Issue: Volume:32 Page:48-55
ISSN:1683-4720
Container-title:Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine
language:uk
Short-container-title:Proc. IAMM NASU

Author:

Zhogoleva Nadiya¹

Affiliation:

1. Institute of Applied Mathematics and Mechanics of NAS of Ukraine, Sloviansk, Ukraine

Abstract

The model of geometrically and physically nonlinear deformation of anisotropic elastic medium is used in this work. A theoretical numerical-analytic solution of the boundary value problem of determining nonlinear anharmonic disturbances that are generated because of generalised Love wave propagation in a waveguide in the form of a single-crystal layer of the m3m class of a cubic system on the half-space of a single-crystal material of m3m class of a cubic system is constructed. The elastic layer on the top edge is rigidly fixed and on the bottom edge has ideal mechanical contact with the elastic halfspace. Numerical investigations have been carried out for a combination of waveguide materials: a layer of sodium chloride on the silicon half-space. Amplitude-frequency dependences for kinematic characteristics of elastic wave displacements of Love waves and their nonlinear second harmonics are researched and generalized.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Subject

General Engineering

Reference6 articles.

1. Blistanov, A.A., Bondarenko, V.S., & Perelomova N.V. et al (1982). Acoustic crystals: manual. Moscow: Nauka (in Russian).

2. Krasil'nikov, V.A., & Lyamov, V.E. (1973). Nonlinear interaction of elastic waves in crystals and signal information processing. Acoust. journal, 19(5), 801-804 (in Russian).

3. Rushtchitsky, J.J. (2003). Features of the development of the theory of elastic nonlinear waves. Math. methods and phys.-mech. fields, 46(3), 90-105 (in Ukrainian).

4. Ferreira, R.E., Boulanger, Ph., & Destrade, M. (2008). Large amplitude Love waves. The Quarterly Journal of Mechanics and Applied Mathematics, 61(3), 353-371. https://doi.org/10.1093/qjmam/hbn013

5. Kurennaya, K.I., & Storozhev, V.I. (2003). Nonlinear acoustic effects while spreading of the normal waves in anisotropic elastic layer. Proc. 10th International Congress on Sound and Vibration (Stockholm, Sweden, 7-10 July 2003). Stockholm, IIAV, Vol. 7, 3605-3612.