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

dc.citation.firstpage561en_US
dc.citation.issueNumber5en_US
dc.citation.journalTitleInternational Journal of Non-Linear Mechanicsen_US
dc.citation.lastpage575en_US
dc.citation.volumeNumber47en_US
dc.contributor.authorStanciulescu, Ilincaen_US
dc.contributor.authorMitchell, Tobyen_US
dc.contributor.authorChandra, Yennyen_US
dc.contributor.authorEason, Thomasen_US
dc.contributor.authorSpottswood, Michaelen_US
dc.date.accessioned2014-08-04T20:53:45Zen_US
dc.date.available2014-08-04T20:53:45Zen_US
dc.date.issued2012en_US
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.en_US
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.en_US
dc.identifier.doihttp://dx.doi.org/10.1016/j.ijnonlinmec.2011.10.004en_US
dc.identifier.urihttps://hdl.handle.net/1911/76353en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.en_US
dc.subject.keywordsnap-throughen_US
dc.subject.keywordfinite elementen_US
dc.subject.keywordcurved beamen_US
dc.subject.keywordsolid (continuum) elementsen_US
dc.subject.keywordthermomechanical loadsen_US
dc.titleA lower bound on snap-through instability of curved beams under thermomechanical loadsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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