Two-dimensional nonlinear shear waves in materials having hexagonal lattice structure

被引：7
|
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, Russia
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2016年 / 21卷 / 01期
关键词：
Nonlinear hexagonal lattice; continuum limit; nonlinear differential equation; asymptotic solution; SOLIDS;
D O I：
10.1177/1081286515577040
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An asymptotic procedure is developed to obtain governing two-dimensional nonlinear equations as a result of the continuum limits of the original discrete hexagonal lattice model. Possible continualization is analyzed on the basis of linearized discrete equations. New weakly nonlinear continuum equations for plane and weakly transverse disturbed shear waves in a hexagonal lattice are obtained using different continuum limits. It is shown that nonlinear plane shear waves are described different from the model of isotropic continuum.
引用
收藏
页码：94 / 103
页数：10
相关论文
共 50 条
  • [21] Electronic structure of two-dimensional hexagonal diselenides: Charge density waves and pseudogap behavior
    E. Z. Kuchinskii
    I. A. Nekrasov
    M. V. Sadovskii
    [J]. Journal of Experimental and Theoretical Physics, 2012, 114 : 671 - 680
  • [22] Electronic structure of two-dimensional hexagonal diselenides: Charge density waves and pseudogap behavior
    Kuchinskii, E. Z.
    Nekrasov, I. A.
    Sadovskii, M. V.
    [J]. JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2012, 114 (04) : 671 - 680
  • [23] Two-dimensional nonlinear a model on a random lattice
    [J]. Phys Rev D, 11 (6481):
  • [24] Two-dimensional mobile breather scattering in a hexagonal crystal lattice
    Bajars, Janis
    Eilbeck, J. Chris
    Leimkuhler, Benedict
    [J]. PHYSICAL REVIEW E, 2021, 103 (02)
  • [25] PERIODIC TRAVELING WAVES IN A SYSTEM OF NONLINEARLY COUPLED NONLINEAR OSCILLATORS ON A TWO-DIMENSIONAL LATTICE
    Bak, S.
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2022, 91 (03): : 225 - 234
  • [26] Compact triplexer in two-dimensional hexagonal lattice photonic crystals
    Ren, Hongliang
    Ma, Jianping
    Wen, Hao
    Qin, Yali
    Wu, Zhefu
    Hu, Weisheng
    Jiang, Chun
    Jin, Yaohui
    [J]. CHINESE OPTICS LETTERS, 2011, 9 (04)
  • [27] Wave Characteristics of Two-Dimensional Hierarchical Hexagonal Lattice Structures
    Xu, Y. L.
    Chen, C. Q.
    Tian, X. G.
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2014, 136 (01):
  • [28] Compact triplexer in two-dimensional hexagonal lattice photonic crystals
    任宏亮
    马建平
    温浩
    覃亚丽
    吴哲夫
    胡卫生
    姜淳
    金耀辉
    [J]. Chinese Optics Letters, 2011, 9 (04) : 91 - 94
  • [29] Influences of negative stiffness on a two-dimensional hexagonal lattice cell
    Wang, Y.-C.
    [J]. PHILOSOPHICAL MAGAZINE, 2007, 87 (24) : 3671 - 3688
  • [30] Phase Transitions in Two-Dimensional Potts Models on the Hexagonal Lattice
    A. K. Murtazaev
    A. B. Babaev
    [J]. Journal of Experimental and Theoretical Physics, 2022, 134 : 720 - 724
12345