Bulk Nonlinear Elastic Strain Waves in a Bilayer Coaxial Cylindrical Rod
- Авторы: Gula I.1, Samsonov A.1
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Учреждения:
- Ioffe Institute
- Выпуск: Том 62, № 12 (2017)
- Страницы: 1778-1786
- Раздел: 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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Аннотация
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.
Об авторах
I. Gula
Ioffe Institute
Email: samsonov@math.ioffe.ru
Россия, Politekhnicheskaya ul. 26, St. Petersburg, 194021
A. Samsonov
Ioffe Institute
Автор, ответственный за переписку.
Email: samsonov@math.ioffe.ru
Россия, Politekhnicheskaya ul. 26, St. Petersburg, 194021