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Interaction of highly nonlinear solitary waves with thin plates

Yang, Jinkyu and Khatri, Devvrath and Anzel, Paul and Daraio, Chiara (2012) Interaction of highly nonlinear solitary waves with thin plates. International Journal of Solids and Structures, 49 (13). pp. 1463-1471. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20120705-111154235

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Abstract

We investigate the reflection of highly nonlinear solitary waves in one-dimensional granular crystals interacting with large plates. We observe significant changes in the reflected waves’ properties in terms of wave amplitude and time of flight in association with the intrinsic inelasticity of large plates, which are governed by the plate thickness and the size of the granular constituents. We also study the effects of fixed plate boundaries in the formation of reflected waves, and find the existence of a critical distance, within which the interaction between the granular chain and plate is strongly modified. We explain the effects of intrinsic inelasticity and of boundaries in the large plates by using plate theory and the contact mechanics between a plate and a spherical striker. We find that experimental results are in excellent agreement with the analytical predictions and numerical simulations based on the combined discrete element and spectral element models. The findings in this study can be useful for the nondestructive evaluation of plate structures using granular crystals, which can improve the resolution of in-situ, portable measurement instruments leveraging high acoustic energy and sensitivity of solitary waves.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.ijsolstr.2012.02.013DOIArticle
http://www.sciencedirect.com/science/article/pii/S0020768312000534PublisherArticle
ORCID:
AuthorORCID
Daraio, Chiara0000-0001-5296-4440
Additional Information:© 2012 Elsevier Ltd. Received 12 September 2011. Revised 4 January 2012. Available online 24 February 2012. Authors would like to thank Dr. Sungwon Ha for his helpful input on the spectral element model. We acknowledge financial support from the YIP program of the Office of Naval Research, and the US National Science Foundation Grant No. CMMI–0825983 and NSF/CMMI-0844540 (Career).
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)UNSPECIFIED
NSFCMMI-0825983
NSFCMMI-0844540
Subject Keywords:Granular crystals; Solitary waves; Impact; Nondestructive evaluation
Issue or Number:13
Record Number:CaltechAUTHORS:20120705-111154235
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120705-111154235
Official Citation:Jinkyu Yang, Devvrath Khatri, Paul Anzel, Chiara Daraio, Interaction of highly nonlinear solitary waves with thin plates, International Journal of Solids and Structures, Volume 49, Issue 13, 15 June 2012, Pages 1463-1471, ISSN 0020-7683, 10.1016/j.ijsolstr.2012.02.013.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32266
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:06 Jul 2012 15:17
Last Modified:03 Oct 2019 03:59

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