Longitudinal strain solitary waves in presence of cubic non-linearity

被引：30
|
作者：
Porubov, A
Maugin, GA
机构：
[1] Russian Acad Sci, AF Ioffe Physicotech Inst, St Petersburg 194021, Russia
[2] Univ Paris 06, CNRS, Modelisat Mecan Lab, Paris, France
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2005年 / 40卷 / 07期
关键词：
non-linear waves; elastic rod; Murnaghan's materials;
D O I：
10.1016/j.ijnonlinmec.2005.03.001
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A new governing equation with combined quadratic and cubic non-linearities is obtained to account for longitudinal strain solitary waves in an elastic rod. It is shown that a strain solitary wave solution of this equation arises as a result of balance between quadratic non-linearity and dispersion and exists even in the absence of cubic non-linearity. However, the amplitude, the width and the velocity of the wave are affected by the cubic non-linearity causing, in particular, a narrowing of the wave. This allows to agree better with experiments on strain solitary wave generation. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1041 / 1048
页数：8
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