Non-linear plane waves in materials having hexagonal internal structure

A. V. Porubov; I. E. Berinskii

doi:10.1016/j.ijnonlinmec.2014.07.003

Non-linear plane waves in materials having hexagonal internal structure

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	27-33
Number of pages	7
Journal	International Journal of Non-Linear Mechanics
Volume	67
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2014.07.003
State	Published - Dec 2014
Externally published	Yes

Keywords

Continuum limit
Hexagonal lattice
Localized strain wave
Non-linear equation
Traveling wave solution

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/j.ijnonlinmec.2014.07.003

Cite this

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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.",

keywords = "Continuum limit, Hexagonal lattice, Localized strain wave, Non-linear equation, Traveling wave solution",

author = "Porubov, \{A. V.\} and Berinskii, \{I. E.\}",

note = "Funding Information: The work has been partly supported by the Russian Foundation for Basic Researches , Grant no. 12-01-00521-a .",

year = "2014",

month = dec,

doi = "10.1016/j.ijnonlinmec.2014.07.003",

language = "الإنجليزيّة",

volume = "67",

pages = "27--33",

journal = "International Journal of Non-Linear Mechanics",

issn = "0020-7462",

publisher = "Elsevier Ltd.",

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

AU - Porubov, A. V.

AU - Berinskii, I. E.

N1 - Funding Information: The work has been partly supported by the Russian Foundation for Basic Researches , Grant no. 12-01-00521-a .

PY - 2014/12

Y1 - 2014/12

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.

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.

KW - Continuum limit

KW - Hexagonal lattice

KW - Localized strain wave

KW - Non-linear equation

KW - Traveling wave solution

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U2 - 10.1016/j.ijnonlinmec.2014.07.003

DO - 10.1016/j.ijnonlinmec.2014.07.003

M3 - مقالة

SN - 0020-7462

VL - 67

SP - 27

EP - 33

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

ER -

Non-linear plane waves in materials having hexagonal internal structure

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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