Non-linear plane waves in materials having hexagonal internal structure

被引：15

作者：

Porubov, A. V. ^{[1
,2
,3
]}

Berinskii, I. E. ^{[1
,3
]}

机构：

[1] Inst Problems Mech Engn, St Petersburg 199178, Russia

[2] St Petersburg State Univ, St Petersburg 199034, Russia

[3] St Petersburg State Polytech Univ, St Petersburg 195251, Russia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2014年 / 67卷

关键词：

Hexagonal lattice; Continuum limit; Non-linear equation; Traveling wave solution; Localized strain wave; 2D LATTICE; DYNAMICS;

D O I：

10.1016/j.ijnonlinmec.2014.07.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：27 / 33

页数：7

共 50 条

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