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Highly nonlinear solitary waves in periodic dimer granular chains

Porter, Mason A. and Daraio, Chiara and Herbold, Eric B. and Szelengowicz, Ivan and Kevrekidis, P. G. (2008) Highly nonlinear solitary waves in periodic dimer granular chains. Physical Review E, 77 (1). Art. No. 015601(R). ISSN 1539-3755. https://resolver.caltech.edu/CaltechAUTHORS:PORpre08

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Abstract

We investigate the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and theoretical analysis. We examine periodic arrangements of particles in experiments in which stiffer and heavier beads (stainless steel) are alternated with softer and lighter ones (polytetrafluoroethylene beads). We find good agreement between experiments and numerics in a model with Hertzian interactions between adjacent beads, which in turn agrees very well with a theoretical analysis of the model in the long-wavelength regime that we derive for heterogeneous environments and general bead interactions. Our analysis encompasses previously studied examples as special cases and also provides key insights into the influence of the dimer lattice on the properties (width and propagation speed) of the highly nonlinear wave solutions.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/0705.3471arXivDiscussion Paper
https://doi.org/10.1103/PhysRevE.77.015601DOIUNSPECIFIED
https://doi.org/10.1103/PhysRevE.77.015601DOIUNSPECIFIED
ORCID:
AuthorORCID
Daraio, Chiara0000-0001-5296-4440
Additional Information:© 2008 The American Physical Society. (Received 23 May 2007; revised 10 December 2007; published 28 January 2008) We acknowledge support from the Caltech Information Science and Technology initiative (M.A.P.), start-up funds from Caltech (C.D.), and NSF-DMS and CAREER (P.G.K.). I.S. thanks Caltech for hospitality. We thank A. Molinari and V. F. Nesterenko for useful discussions.
Subject Keywords:granular materials; numerical analysis; polymers; solitons; stainless steel
Issue or Number:1
Record Number:CaltechAUTHORS:PORpre08
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:PORpre08
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9549
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:02 Feb 2008
Last Modified:03 Oct 2019 00:01

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