A lower bound on snap-through instability of curved beams under thermomechanical loads

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dc.citation.firstpage561
dc.citation.issueNumber5
dc.citation.journalTitleInternational Journal of Non-Linear Mechanics
dc.citation.lastpage575
dc.citation.volumeNumber47
dc.contributor.authorStanciulescu, Ilinca
dc.contributor.authorMitchell, Toby
dc.contributor.authorChandra, Yenny
dc.contributor.authorEason, Thomas
dc.contributor.authorSpottswood, Michael
dc.date.accessioned2014-08-04T20:53:45Z
dc.date.available2014-08-04T20:53:45Z
dc.date.issued2012
dc.description.abstractA non-linear finite element formulation (three dimensional continuum elements) is implemented and used for modeling dynamic snap-through in beams with initial curvature. We identify a non-trivial (non-flat) configuration of the beam at a critical temperature value below which the beam will no longer experience snap-through under any magnitude of applied quasi-static load for beams with various curvatures. The critical temperature is shown to successfully eliminate snap-through in dynamic simulations at quasistatic loading rates. Thermomechanical coupling is included in order to model a physically minimal amount of damping in the system, and the resulting post-snap vibrations are shown to be thermoelastically damped. We propose a test to determine the critical snap-free temperature for members of general geometry and loading pattern; the analogy between mechanical prestress and thermal strain that holds between the static and dynamic simulations is used to suggest a simple method for reducing the vulnerability of thin-walled structural members to dynamic snap-through in members of large initial curvature via the introduction of initial pretension.
dc.identifier.citationStanciulescu, Ilinca, Mitchell, Toby, Chandra, Yenny, et al.. "A lower bound on snap-through instability of curved beams under thermomechanical loads." <i>International Journal of Non-Linear Mechanics,</i> 47, no. 5 (2012) Elsevier: 561-575. http://dx.doi.org/10.1016/j.ijnonlinmec.2011.10.004.
dc.identifier.doihttp://dx.doi.org/10.1016/j.ijnonlinmec.2011.10.004
dc.identifier.urihttps://hdl.handle.net/1911/76353
dc.language.isoeng
dc.publisherElsevier
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.subject.keywordsnap-through
dc.subject.keywordfinite element
dc.subject.keywordcurved beam
dc.subject.keywordsolid (continuum) elements
dc.subject.keywordthermomechanical loads
dc.titleA lower bound on snap-through instability of curved beams under thermomechanical loads
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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