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
收藏
页码：27 / 33
页数：7
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