Longitudinal strain solitary waves in presence of cubic non-linearity
- 作者：A.V. Porubov and G.A. Maugin
- 关键词：Non-linear waves ; Elastic rod ; Murnaghan's materials
- 刊名：International Journal of Non-Linear Mechanics
- 出版年：2005
- 期刊代码：87_00207462
- 类别：et
- 出版时间：2005
- 卷：40
- 期：7
- 页码：1041-1048
- 文件大小：248 K
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.