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Nonlinear coherent structures in granular crystals

Chong, C. and Porter, Mason A. and Kevrekidis, P. G. and Daraio, C. (2017) Nonlinear coherent structures in granular crystals. Journal of Physics: Condensed Matter, 29 (41). Art. No. 413003. ISSN 0953-8984.

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The study of granular crystals, which are nonlinear metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics, and condensed-matter physics. Granular crystals exploit geometrical nonlinearities in their constitutive microstructure to produce properties (such as tunability and energy localization) that are not conventional to engineering materials and linear devices. In this topical review, we focus on recent experimental, computational, and theoretical results on nonlinear coherent structures in granular crystals. Such structures—which include traveling solitary waves, dispersive shock waves, and discrete breathers—have fascinating dynamics, including a diversity of both transient features and robust, long-lived patterns that emerge from broad classes of initial data. In our review, we primarily discuss phenomena in one-dimensional crystals, as most research to date has focused on such scenarios, but we also present some extensions to two-dimensional settings. Throughout the review, we highlight open problems and discuss a variety of potential engineering applications that arise from the rich dynamic response of granular crystals.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Daraio, C.0000-0001-5296-4440
Additional Information:© 2017 IOP Publishing Ltd. Received 30 March 2016; Accepted 1 June 2017; Published 6 September 2017. This material is based upon work supported by the National Science Foundation via grant number DMS-1615037. PGK gratefully acknowledges the support of the US Air Force Office of Scientific Research via grant number FA9550-12-1-0332 of the ERC under FP7; the Marie Curie Actions, People, International Research Staff Exchange Scheme (IRSES-605096); the ARO via grant number W911NF-15-1-0604; and the Alexander von Humboldt Foundation. CD acknowledges support from the U.S. Air Force Office of Scientific Research via grant number FA9550-12-1-0091.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0332
European Research Council (ERC)IRSES-605096
Army Research Office (ARO)W911NF-15-1-0604
Alexander von Humboldt FoundationUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0091
Subject Keywords:granular crystals, nonlinear waves, breathers, nonlinear dynamics, traveling waves, dispersive shock waves
Record Number:CaltechAUTHORS:20170906-154802672
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Official Citation:C Chong et al 2017 J. Phys.: Condens. Matter 29 413003
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81220
Deposited By: Tony Diaz
Deposited On:07 Sep 2017 01:28
Last Modified:07 Sep 2017 01:28

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