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
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