Cascade unlooping of a low-pitch helical spring under tension

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dc.creatorStarostin, E. L.
dc.creatorvan der Heijden, G. H. M.
dc.date2008-12-09
dc.date.accessioned2026-07-07T13:08:43Z
dc.date.available2026-07-07T13:08:43Z
dc.descriptionWe study the force vs extension behaviour of a helical spring made of a thin torsionally-stiff anisotropic elastic rod. Our focus is on springs of very low helical pitch. For certain parameters of the problem such a spring is found not to unwind when pulled but rather to form hockles that pop-out one by one and lead to a highly non-monotonic force-extension curve. Between abrupt loop pop-outs this curve is well described by the planar elastica whose relevant solutions are classified. Our results may be relevant for tightly coiled nanosprings in future micro- and nano(electro)mechanical devices.
dc.description20 pages, 15 figures
dc.identifierhttps://arxiv.org/abs/0812.1805
dc.identifierhttp://arxiv.org/abs/0812.1805
dc.identifierJournal of the Mechanics and Physics of Solids, 57(6) 959-969 (2009)
dc.identifierdoi:10.1016/j.jmps.2009.02.004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228506
dc.subjectClassical Physics
dc.titleCascade unlooping of a low-pitch helical spring under tension
dc.typetext

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