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Title: Nonlinear Second Harmonics of Localized Shear Waves in an Anisotropic Layer Between Anisotropic Half Spaces Under the Conditions of Imperfect Contact

Abstract

We construct a numerical-analytic solution of the problem of generation of the nonlinear second harmonics in the course of propagation of elastic symmetric localized shear waves in the crystalline layer of cubic system of the m3m class located between the crystalline half spaces of the same type and the same class of anisotropy under the conditions of imperfect sliding contact of components of the waveguide. We determine the analytic form of the functions of wave motions for nonlinear anharmonic perturbations in the form of longitudinal-shear-type waves. We also perform the numerical investigations of the amplitude-frequency characteristics of the second harmonics for monochromatic localized waves in a layer of a single crystal of germanium between the half spaces from the single crystal of silicon.

Authors:
;  [1]
  1. Stus Donets’k National University (Ukraine)
Publication Date:
OSTI Identifier:
22773572
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 236; Journal Issue: 2; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 97 MATHEMATICAL METHODS AND COMPUTING; ANALYTICAL SOLUTION; ANISOTROPY; DISTURBANCES; GERMANIUM; HARMONIC GENERATION; LAYERS; MONOCHROMATIC RADIATION; MONOCRYSTALS; NONLINEAR PROBLEMS; SHEAR; SILICON; SYMMETRY; WAVE PROPAGATION; WAVEGUIDES

Citation Formats

Shevchenko, V. P., and Zhogoleva, N. V. Nonlinear Second Harmonics of Localized Shear Waves in an Anisotropic Layer Between Anisotropic Half Spaces Under the Conditions of Imperfect Contact. United States: N. p., 2019. Web. doi:10.1007/S10958-018-4106-4.
Shevchenko, V. P., & Zhogoleva, N. V. Nonlinear Second Harmonics of Localized Shear Waves in an Anisotropic Layer Between Anisotropic Half Spaces Under the Conditions of Imperfect Contact. United States. doi:10.1007/S10958-018-4106-4.
Shevchenko, V. P., and Zhogoleva, N. V. Tue . "Nonlinear Second Harmonics of Localized Shear Waves in an Anisotropic Layer Between Anisotropic Half Spaces Under the Conditions of Imperfect Contact". United States. doi:10.1007/S10958-018-4106-4.
@article{osti_22773572,
title = {Nonlinear Second Harmonics of Localized Shear Waves in an Anisotropic Layer Between Anisotropic Half Spaces Under the Conditions of Imperfect Contact},
author = {Shevchenko, V. P. and Zhogoleva, N. V.},
abstractNote = {We construct a numerical-analytic solution of the problem of generation of the nonlinear second harmonics in the course of propagation of elastic symmetric localized shear waves in the crystalline layer of cubic system of the m3m class located between the crystalline half spaces of the same type and the same class of anisotropy under the conditions of imperfect sliding contact of components of the waveguide. We determine the analytic form of the functions of wave motions for nonlinear anharmonic perturbations in the form of longitudinal-shear-type waves. We also perform the numerical investigations of the amplitude-frequency characteristics of the second harmonics for monochromatic localized waves in a layer of a single crystal of germanium between the half spaces from the single crystal of silicon.},
doi = {10.1007/S10958-018-4106-4},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 236,
place = {United States},
year = {2019},
month = {1}
}