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Continuum limits of bistable spring models of carbon nanotube arrays accounting for material damage

Blesgen, T. and Fraternali, F. and Raney, J. R. and Amendola, A. and Daraio, C. (2012) Continuum limits of bistable spring models of carbon nanotube arrays accounting for material damage. Mechanics Research Communications, 45 . pp. 58-63. ISSN 0093-6413. doi:10.1016/j.mechrescom.2012.07.006. https://resolver.caltech.edu/CaltechAUTHORS:20121115-103054395

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Abstract

Using chains of bistable springs, a model is derived to investigate the plastic behavior of carbon nanotube arrays with damage. We study the preconditioning effect due to the loading history by computing analytically the stress–strain pattern corresponding to a fatigue-type damage of the structure. We identify the convergence of the discrete response to the limiting case of infinitely many springs, both analytically in the framework of Gamma-convergence, as well as numerically.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.mechrescom.2012.07.006DOIArticle
http://www.sciencedirect.com/science/article/pii/S0093641312001346PublisherArticle
http://arxiv.org/abs/1112.2268arXivDiscussion Paper
ORCID:
AuthorORCID
Fraternali, F.0000-0002-7549-6405
Amendola, A.0000-0002-2562-881X
Daraio, C.0000-0001-5296-4440
Additional Information:© 2012 Elsevier Ltd. Received 5 December 2011; Received in revised form 15 July 2012; Available online 27 July 2012. FF acknowledges the support of the Province of Avellino through the grant “Innovative systems for seismic engineering and structural health monitoring”. TB acknowledges the support of the German Research Community (DFG) through grant BL 512 4/1. JRR gratefully acknowledges the U.S. Department of Defense and the Army Research Office for their support via a National Defense Science & Engineering Graduate (NDSEG) fellowship. CD acknowledges support from the Institute for Collaborative Biotechnologies under contract W911NF-09-D-0001 with the Army Research Office.
Funders:
Funding AgencyGrant Number
Province of AvellinoUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)BL 512 4/1
Army Research Office (ARO)W911NF-09-D-0001
National Defense Science and Engineering Graduate (NDSEG) FellowshipUNSPECIFIED
Subject Keywords:Carbon nanotube arrays; Bistable springs; Multiscale behavior; Mullins effect; Permanent deformation
DOI:10.1016/j.mechrescom.2012.07.006
Record Number:CaltechAUTHORS:20121115-103054395
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20121115-103054395
Official Citation:T. Blesgen, F. Fraternali, J.R. Raney, A. Amendola, C. Daraio, Continuum limits of bistable spring models of carbon nanotube arrays accounting for material damage, Mechanics Research Communications, Volume 45, October 2012, Pages 58-63, ISSN 0093-6413, 10.1016/j.mechrescom.2012.07.006.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35486
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:15 Nov 2012 19:02
Last Modified:09 Nov 2021 23:15

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