Double dispersion equation for nonlinear waves in a graphene-type hexagonal lattice

被引：3
作者：
Porubov, A. V. [1 ,2 ]
Osokina, A. E. [2 ]
机构：
[1] Inst Problems Mech Engn, Bolshoy 61, St Petersburg, Russia
[2] Peter Great St Petersburg Polytech Univ SPbPU, Polytech Skaya 29, St Petersburg, Russia
来源：
WAVE MOTION | 2019年 / 89卷
关键词：
Graphene lattice; Continuum limit; Nonlinear wave; ELASTIC PROPERTIES; STRAIN WAVES; PLANE-WAVES; DYNAMICS; SOLITONS; MODULUS; MODEL;
D O I：
10.1016/j.wavemoti.2019.03.013
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
It is shown that plane longitudinal nonlinear strain waves in a 2D graphene-type hexagonal lattice are described by a nonlinear double dispersion equation previously developed for the description of waves in an elastic rod. A procedure is developed to derive the governing equation as a continuum limit of the original lattice model. The lattice is described by an interaction of two sub-lattices and both translational and angular interactions between the lattice masses are taken into account. (C) 2019 Elsevier B.V. All rights reserved.
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收藏
页码：185 / 192
页数：8
相关论文
共 43 条
  • [1] Thermal fluctuations and effective bending stiffness of elastic thin sheets and graphene: A nonlinear analysis
    Ahmadpoor, Fatemeh
    Wang, Peng
    Huang, Rui
    Sharma, Pradeep
    [J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2017, 107 : 294 - 319
  • [2] Improved Continuous Models for Discrete Media
    Andrianov, I. V.
    Awrejcewicz, J.
    Weichert, D.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [3] [Anonymous], 1999, Nonlinear Waves in Elastic Crystals
  • [4] [Anonymous], 2002, Appl. Mech. Rev., DOI DOI 10.1115/1.1432990
  • [5] Nonlocal plate model for free vibrations of single-layered graphene sheets
    Ansari, R.
    Sahmani, S.
    Arash, B.
    [J]. PHYSICS LETTERS A, 2010, 375 (01) : 53 - 62
  • [6] Askar A., 1985, Lattice Dynamical Foundations of Continuum Theories
  • [7] Higher-order continua derived from discrete media: continualisation aspects and boundary conditions
    Askes, H
    Metrikine, AV
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (01) : 187 - 202
  • [8] Longitudinal solitons in carbon nanotubes
    Astakhova, TY
    Gurin, OD
    Menon, M
    Vinogradov, GA
    [J]. PHYSICAL REVIEW B, 2001, 64 (03)
  • [9] Transverse discrete breathers in unstrained graphene
    Barani, Elham
    Lobzenko, Ivan P.
    Korznikova, Elena A.
    Soboleva, Elvira G.
    Dmitriev, Sergey V.
    Zhou, Kun
    Marjaneh, Aliakbar Moradi
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2017, 90 (03)
  • [10] Lateral strain ratios for cubic ionic crystals
    Belomestnykh, V. N.
    Soboleva, E. G.
    [J]. LETTERS ON MATERIALS-PIS MA O MATERIALAKH, 2011, 1 (02): : 84 - 87
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