Nonlinear wave disintegration in phononic material with weakly compressed rough contacts

Patil, Ganesh U.; Matlack, Kathryn H.

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https://hdl.handle.net/2142/116476 Copy

Description

Title

Nonlinear wave disintegration in phononic material with weakly compressed rough contacts

Author(s)

• Patil, Ganesh U.
• Matlack, Kathryn H.

Issue Date

2022-07-17

Keyword(s)

• phononic materials
• contact nonlinearity
• solitary waves
• band gaps
• nonlinear waves
• rarefaction waves

Abstract

Phononic media with contact nonlinearity enable unique wave responses, which brings new capabilities in controlling the propagation of mechanical energy both passively and actively. Our previous studies of phononic media with periodic “rough" contacts have demonstrated different wave responses under zero or strong precompression, however, wave dynamics of this system under weak precompression is yet to be understood. Such understanding can help improve the dynamic response of these materials for wave propagation control. Here, we numerically study nonlinear wave propagation through phononic material with rough contacts such that the contacts are weakly compressed and exhibit a strong nonlinear response at high amplitude excitations. Different from uncompressed and strongly compressed media, this system disintegrates the excited waves into constant amplitude compression pulses followed by an oscillatory tail of decaying amplitudes. These two wave profiles are linked through a transition zone in the form of a rarefaction front. Such wave response is attributed to the mechanics of weakly-compressed contact that transmits tension-compression forces at low amplitudes but only compression forces at high amplitudes. We also demonstrate the tunability of the amplitude, speed, and energy of compression pulses via external precompression. Further, owing to the band gap characteristics of the underlying linear phononic media, these materials display spectral filtering of the harmonic waves. Overall, the capability of these materials to transfer information or energy via compression pulses, amplitude-dependent material response, energy transfer from the excitation frequency to other frequency-wavenumber regimes, and tunability through precompression could pave the way for the development of mechanical devices for advanced wave control.

Publisher

Proceedings of 10th European Nonlinear Dynamics Conference (ENOC2022)

Series/Report Name or Number

no. 382267

Type of Resource

text

Language

en

Sponsor(s)/Grant Number(s)

Army Research Office, USA under the Grant Number W911NF-20-1-0250

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