Bulk Nonlinear Elastic Strain Waves in a Bilayer Coaxial Cylindrical Rod
- Authors: Gula I.A.1, Samsonov A.M.1
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Affiliations:
- Ioffe Institute
- Issue: Vol 62, No 12 (2017)
- Pages: 1778-1786
- Section: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/200328
- DOI: https://doi.org/10.1134/S1063784217120118
- ID: 200328
Cite item
Abstract
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.
About the authors
I. A. Gula
Ioffe Institute
Email: samsonov@math.ioffe.ru
Russian Federation, Politekhnicheskaya ul. 26, St. Petersburg, 194021
A. M. Samsonov
Ioffe Institute
Author for correspondence.
Email: samsonov@math.ioffe.ru
Russian Federation, Politekhnicheskaya ul. 26, St. Petersburg, 194021