PMID: 22587197May 17, 2012Paper

Highly nonlinear solitary wave propagation in Y-shaped granular crystals with variable branch angles

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Duc NgoChiara Daraio

Abstract

We study the propagation of highly nonlinear waves in a branched (Y-shaped) granular crystal composed of chains of spherical particles of different materials, arranged at variable branch angles. We experimentally test the dynamic behavior of a solitary pulse, or of a train of solitary waves, crossing the Y-junction interface, and splitting between the two branches. We describe the dependence of the split pulses' speed and amplitude on the branch angles. Analytic predictions based on the quasiparticle model and numerical simulations based on Hertzian interactions between the particles are found to be in excellent agreement with the experimental data.

References

Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexandre Rosas, Katja Lindenberg
Mar 24, 2005·Physical Review Letters·Jongbae Hong
May 21, 2005·Physical Review Letters·Stéphane JobSurajit Sen
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C DaraioS Jin
Oct 26, 2005·Physical Review Letters·V F NesterenkoS Jin
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Robert L Doney, Surajit Sen
Feb 21, 2006·Physical Review Letters·C DaraioS Jin
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C DaraioS Jin
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C Daraio, V F Nesterenko
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mason A PorterP G Kevrekidis
Apr 7, 2010·Proceedings of the National Academy of Sciences of the United States of America·Alessandro Spadoni, Chiara Daraio
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C DaraioF Fraternali
Jun 28, 2011·Nature Materials·Yun LaiZhao-Qing Zhang

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Citations

Nov 25, 2014·The European Physical Journal. E, Soft Matter·L P MachadoK Lindenberg
Oct 4, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A LeonardP Geubelle
Mar 20, 2018·Physical Review. E·M Arif Hasan, Sia Nemat-Nasser

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