Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 57, Issue 6, Pages 959-969Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2009.02.004
Keywords
Thin anisotropic elastic rod; Helical spring; Planar elastica; Force-extension response; Loop pop-out
Funding
- Engineering and Physical Sciences Research Council [GR/T22926/01] Funding Source: researchfish
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We 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. (C) 2009 Elsevier Ltd. All rights reserved.
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