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Acoustic black hole in a hyperelastic rod

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Abstract

It is revealed that a hyperelastic material with smooth variation of elastic properties with strain, may serve as an acoustic black hole in respect of harmonic elastic waves. The analysis comprises theoretical method based on thermodynamic analysis, Cauchy formalism, coupled with numerical method utilizing Lax–Wendroff explicit numerical scheme in time domain and finite element discretization in spatial domain. The observed phenomena elucidate the appearance of ABH in hyperelastic media and may be indispensible for development of new types of vibration and shock absorbers, which result in mechanical energy attenuation in a purely elastic system.

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  1. Moscow State University of Civil Engineering, Moscow, Russia

    Sergey V. Kuznetsov

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Kuznetsov, S.V. Acoustic black hole in a hyperelastic rod. Z. Angew. Math. Phys. 74, 122 (2023). https://doi.org/10.1007/s00033-023-02020-x

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