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Nonlinear transition waves in free-standing bistable chains

Bolei Deng 1 Pai Wang 1, 2 Vincent Tournat 3 Katia Bertoldi 1, 4
1 SEAS - Harvard John A. Paulson School of Engineering and Applied Sciences
2 ME-U. Utah - Department of Mechanical Engineering
3 LAUM - Laboratoire d'Acoustique de l'Université du Mans
4 KIBST - Kavli Institute for Bionano Science & Technology [Harvard University]
Abstract : We propose an analytical framework to study the propagation of transition waves in one-dimensional free-standing lattices comprising concentrated masses and bistable springs. Starting from the discrete model, we derive the partial differential equation that describes the non-linear dynamic response of the system and obtain its exact closed-form solution. Such solution enables us to uncover the effect of the system’s parameters on the characteristics of the supported transition waves as well as to characterize the rarefaction front that precedes the pulse. As such, this work provides new opportunities to elucidate how transition waves propagate in systems in which the phase transition results in macroscopic volumetric changes.
Keywords : Transition waves Bistability Non-linear dynamics
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Article dans une revue
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https://hal-univ-lemans.archives-ouvertes.fr/hal-02537156
Contributeur : Vincent Tournat Connectez-vous pour contacter le contributeur
Soumis le : mercredi 8 avril 2020 - 16:29:01
Dernière modification le : jeudi 2 septembre 2021 - 16:11:32

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UNIV-LEMANS | LAUM | CNRS

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Bolei Deng, Pai Wang, Vincent Tournat, Katia Bertoldi. Nonlinear transition waves in free-standing bistable chains. Journal of the Mechanics and Physics of Solids, Elsevier, 2020, 136, pp.103661. ⟨10.1016/j.jmps.2019.07.004⟩. ⟨hal-02537156⟩

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