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Non-linear plane waves in materials having hexagonal internal structure. / Porubov, A.V.; Berinskii, I.E.

In: International Journal of Non-Linear Mechanics, 2014, p. 27-33.

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Porubov, A.V. ; Berinskii, I.E. / Non-linear plane waves in materials having hexagonal internal structure. In: International Journal of Non-Linear Mechanics. 2014 ; pp. 27-33.

BibTeX

@article{ae5446b751564163861bcafc1360342b,
title = "Non-linear plane waves in materials having hexagonal internal structure",
abstract = "Three different continuum limits for modeling non-linear plane waves in two-dimensional hexagonal lattice are obtained. New coupled non-linear continuum equations are obtained to study the interaction of a macro-strain wave and the waves caused by variations in an internal structure. New analytical solutions are obtained to describe localized non-linear strain waves. It is shown that the solutions are different from those of the 1D lattice model due to the inclusion of non-neighboring interactions in a lattice. {\textcopyright} 2014 Elsevier Ltd.",
author = "A.V. Porubov and I.E. Berinskii",
year = "2014",
doi = "10.1016/j.ijnonlinmec.2014.07.003",
language = "English",
pages = "27--33",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Non-linear plane waves in materials having hexagonal internal structure

AU - Porubov, A.V.

AU - Berinskii, I.E.

PY - 2014

Y1 - 2014

N2 - Three different continuum limits for modeling non-linear plane waves in two-dimensional hexagonal lattice are obtained. New coupled non-linear continuum equations are obtained to study the interaction of a macro-strain wave and the waves caused by variations in an internal structure. New analytical solutions are obtained to describe localized non-linear strain waves. It is shown that the solutions are different from those of the 1D lattice model due to the inclusion of non-neighboring interactions in a lattice. © 2014 Elsevier Ltd.

AB - Three different continuum limits for modeling non-linear plane waves in two-dimensional hexagonal lattice are obtained. New coupled non-linear continuum equations are obtained to study the interaction of a macro-strain wave and the waves caused by variations in an internal structure. New analytical solutions are obtained to describe localized non-linear strain waves. It is shown that the solutions are different from those of the 1D lattice model due to the inclusion of non-neighboring interactions in a lattice. © 2014 Elsevier Ltd.

U2 - 10.1016/j.ijnonlinmec.2014.07.003

DO - 10.1016/j.ijnonlinmec.2014.07.003

M3 - Article

SP - 27

EP - 33

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -

ID: 7065022