https://doi.org/10.1140/epjp/s13360-025-06087-5
Regular Article
Lennard–Jones and Yeoh potentials: attenuation of oscillating acoustic waves
Ishlinsky Institute for Problems in Mechanics, Moscow, Russia
Received:
9
September
2024
Accepted:
3
February
2025
Published online:
18
February
2025
A combined analytical and numerical study of oscillating elastic waves propagating in a 1D hyperelastic material modeled by the Lennard–Jones hyperelastic potential reveals that, due to different velocities of oscillating waves, the faster parts of the initially harmonic wave overtake the slower moving parts with formation and propagation of multiple shock wave fronts. These shock fronts cause the mechanical energy to decay with the release of heat. Thus, it is shown that in the considered purely mechanical system without viscous or dry friction, the mechanical energy can dissipate. The observed phenomenon opens up the possibility for creating a new type of vibration isolators without viscous or dry friction dampers. The use of the Lennard–Jones hyperelastic potential together with the Yeoh polynomial potential has recently been proposed for modeling different rubber-based cross-linked polymers.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
