Bulk Nonlinear Elastic Strain Waves in a Bilayer Coaxial Cylindrical Rod
- 作者: Gula I.1, Samsonov A.1
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隶属关系:
- Ioffe Institute
- 期: 卷 62, 编号 12 (2017)
- 页面: 1778-1786
- 栏目: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/200328
- DOI: https://doi.org/10.1134/S1063784217120118
- ID: 200328
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详细
The problem of the propagation of long nonlinear elastic strain waves in a bilayer coaxial cylindrical rod with an ideal contact between the layers has been considered. Expressions for transverse displacements through longitudinal displacements have been derived. The former satisfies free boundary conditions and continuity conditions for displacements and stresses at the interlayer interface with the desired accuracy. It has been shown how these expressions generalize the well-known plane-section and Love hypotheses for an isotropic homogeneous rod. An equation for the propagation of a nonlinearly elastic strain longitudinal wave has been derived, and its particular solution in the form of a solitary traveling wave has been studied.
作者简介
I. Gula
Ioffe Institute
Email: samsonov@math.ioffe.ru
俄罗斯联邦, Politekhnicheskaya ul. 26, St. Petersburg, 194021
A. Samsonov
Ioffe Institute
编辑信件的主要联系方式.
Email: samsonov@math.ioffe.ru
俄罗斯联邦, Politekhnicheskaya ul. 26, St. Petersburg, 194021