Standard

An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space. / Kamotskii, I. V.; Kiselev, A. P.

в: Journal of Applied Mathematics and Mechanics, Том 73, № 4, 2009, стр. 464–470.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kamotskii, IV & Kiselev, AP 2009, 'An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space', Journal of Applied Mathematics and Mechanics, Том. 73, № 4, стр. 464–470. https://doi.org/DOI: 10.1016/j.jappmathmech.2009.08.003

APA

Kamotskii, I. V., & Kiselev, A. P. (2009). An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space. Journal of Applied Mathematics and Mechanics, 73(4), 464–470. https://doi.org/DOI: 10.1016/j.jappmathmech.2009.08.003

Vancouver

Kamotskii IV, Kiselev AP. An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space. Journal of Applied Mathematics and Mechanics. 2009;73(4):464–470. https://doi.org/DOI: 10.1016/j.jappmathmech.2009.08.003

Author

Kamotskii, I. V. ; Kiselev, A. P. / An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space. в: Journal of Applied Mathematics and Mechanics. 2009 ; Том 73, № 4. стр. 464–470.

BibTeX

@article{551b1d27e27249e2974511ad935f712d,
title = "An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space",
abstract = "An approach based on investigating the energy functional is applied for the first time to the classical problem of Rayleigh waves in an anisotropic half-space with a free boundary. The main object of the investigation is an ordinary differential operator in a variable characterizing the depth. An investigation of the spectrum by variational methods enables a new proof to be given of the existence of a Rayleigh wave in a linear elastic half-space with arbitrary anisotropy, which does not rest on the Stroh formalism.",
keywords = "Волны Релея",
author = "Kamotskii, {I. V.} and Kiselev, {A. P.}",
year = "2009",
doi = "DOI: 10.1016/j.jappmathmech.2009.08.003",
language = "English",
volume = "73",
pages = "464–470",
journal = "Journal of Applied Mathematics and Mechanics",
issn = "0021-8928",
publisher = "Elsevier",
number = "4",

}

RIS

TY - JOUR

T1 - An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space

AU - Kamotskii, I. V.

AU - Kiselev, A. P.

PY - 2009

Y1 - 2009

N2 - An approach based on investigating the energy functional is applied for the first time to the classical problem of Rayleigh waves in an anisotropic half-space with a free boundary. The main object of the investigation is an ordinary differential operator in a variable characterizing the depth. An investigation of the spectrum by variational methods enables a new proof to be given of the existence of a Rayleigh wave in a linear elastic half-space with arbitrary anisotropy, which does not rest on the Stroh formalism.

AB - An approach based on investigating the energy functional is applied for the first time to the classical problem of Rayleigh waves in an anisotropic half-space with a free boundary. The main object of the investigation is an ordinary differential operator in a variable characterizing the depth. An investigation of the spectrum by variational methods enables a new proof to be given of the existence of a Rayleigh wave in a linear elastic half-space with arbitrary anisotropy, which does not rest on the Stroh formalism.

KW - Волны Релея

U2 - DOI: 10.1016/j.jappmathmech.2009.08.003

DO - DOI: 10.1016/j.jappmathmech.2009.08.003

M3 - Article

VL - 73

SP - 464

EP - 470

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 4

ER -

ID: 5305398