Quasi-Harmonic Longitudinal Wave Propagating in a Rod, the Deformation of the Material Thereof is Described by Neo-Hookean Potential

A nonlinear equation is obtained for the dynamics of a hyperelastic rod, the deformation of the material thereof is described by a neo-Hookean potential. The following quasi-harmonic processes are studied: the generation of a longitudinal double-frequency wave, the formation of a wave package with its amplitude envelope having the properties of a soliton.

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Publication Details

Journal
Bulletin of the Russian Academy of Sciences Physics
Published
2025-11-24
DOI
https://doi.org/10.1134/s1062873825713893
Primary Topic
Elasticity and Wave Propagation
Type
article
Field-Weighted Citation Impact
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article

Quasi-Harmonic Longitudinal Wave Propagating in a Rod, the Deformation of the Material Thereof is Described by Neo-Hookean Potential

В. И. Ерофеев, Daniil A. Butygin
Bulletin of the Russian Academy of Sciences Physics
Elasticity and Wave Propagation
article

Quasi-Harmonic Longitudinal Wave Propagating in a Rod, the Deformation of the Material Thereof is Described by Neo-Hookean Potential

В. И. Ерофеев, Daniil A. Butygin
article en

Abstract

A nonlinear equation is obtained for the dynamics of a hyperelastic rod, the deformation of the material thereof is described by a neo-Hookean potential. The following quasi-harmonic processes are studied: the generation of a longitudinal double-frequency wave, the formation of a wave package with its amplitude envelope having the properties of a soliton.

Bulletin of the Russian Academy of Sciences PhysicsVol. 89(S1)
Institute of Applied Physics (RU)
Openalex Percentile: Top 59%
Elasticity and Wave Propagation
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