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dc.contributor.authorJawed, Mohammad K.
dc.contributor.authorBrun, Pierre-Thomas
dc.contributor.authorReis, Pedro Miguel
dc.date.accessioned2017-07-12T19:04:22Z
dc.date.available2017-07-12T19:04:22Z
dc.date.issued2015-09
dc.date.submitted2015-08
dc.identifier.issn0021-8936
dc.identifier.issn1528-9036
dc.identifier.urihttp://hdl.handle.net/1721.1/110692
dc.description.abstractWe report results from a systematic numerical investigation of the nonlinear patterns that emerge when a slender elastic rod is deployed onto a moving substrate; a system also known as the elastic sewing machine (ESM). The discrete elastic rods (DER) method is employed to quantitatively characterize the coiling patterns, and a comprehensive classification scheme is introduced based on their Fourier spectrum. Our analysis yields physical insight on both the length scales excited by the ESM, as well as the morphology of the patterns. The coiling process is then rationalized using a reduced geometric model (GM) for the evolution of the position and orientation of the contact point between the rod and the belt, as well as the curvature of the rod near contact. This geometric description reproduces almost all of the coiling patterns of the ESM and allows us to establish a unifying bridge between our elastic problem and the analogous patterns obtained when depositing a viscous thread onto a moving surface; a well-known system known as the fluid-mechanical sewing machine (FMSM).en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (CMMI-1129894)en_US
dc.language.isoen_US
dc.publisherASME Internationalen_US
dc.relation.isversionofhttp://dx.doi.org/10.1115/1.4031363en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAmerican Society of Mechanical Engineers (ASME)en_US
dc.titleA Geometric Model for the Coiling of an Elastic Rod Deployed Onto a Moving Substrateen_US
dc.typeArticleen_US
dc.identifier.citationJawed, Mohammad K.; Brun, Pierre-Thomas and Reis, Pedro M. “A Geometric Model for the Coiling of an Elastic Rod Deployed Onto a Moving Substrate.” Journal of Applied Mechanics 82, 12 (December 2015): 121007 © 2015 ASME Internationalen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Civil and Environmental Engineeringen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.mitauthorJawed, Mohammad K.
dc.contributor.mitauthorBrun, Pierre-Thomas
dc.contributor.mitauthorReis, Pedro Miguel
dc.relation.journalJournal of Applied Mechanicsen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsJawed, Mohammad K.; Brun, Pierre-Thomas; Reis, Pedro M.en_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0002-4175-0604
dc.identifier.orcidhttps://orcid.org/0000-0003-3984-828X
mit.licensePUBLISHER_POLICYen_US


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