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Article Dans Une Revue Physical Review Letters Année : 2015

Nonlinear Hysteretic Torsional Waves

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We theoretically study and experimentally report the propagation of nonlinear hysteretic torsional pulses in a vertical granular chain made of cm-scale, self-hanged magnetic beads. As predicted by contact mechanics, the torsional coupling between two beads is found to be nonlinear hysteretic. This results in a nonlinear pulse distortion essentially different from the distortion predicted by classical nonlinearities and in a complex dynamic response depending on the history of the wave particle angular velocity. Both are consistent with the predictions of purely hysteretic nonlinear elasticity and the Preisach-Mayergoyz hysteresis model, providing the opportunity to study the phenomenon of nonlinear dynamic hysteresis in the absence of other types of material nonlinearities. The proposed configuration reveals a plethora of interesting phenomena including giant amplitude-dependent attenuation, short-term memory, as well as dispersive properties. Thus, it could find interesting applications in nonlinear wave control devices such as strong amplitude-dependent filters.

Dates et versions

hal-02461006 , version 1 (30-01-2020)



J. Cabaret, Philippe Béquin, Georgios Theocharis, V. Andreev, Vitali Goussev, et al.. Nonlinear Hysteretic Torsional Waves. Physical Review Letters, 2015, 115 (5), ⟨10.1103/PhysRevLett.115.054301⟩. ⟨hal-02461006⟩
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