Stability Estimates for a Twisted Rod Under Terminal Loads: A Three-dimensional Study
KAUST Grant NumberKUK-C1-013-04
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AbstractThe stability of an inextensible unshearable elastic rod with quadratic strain energy density subject to end loads is considered. We study the second variation of the corresponding rod-energy, making a distinction between in-plane and out-of-plane perturbations and isotropic and anisotropic cross-sections, respectively. In all cases, we demonstrate that the naturally straight state is a local energy minimizer in parameter regimes specified by material constants. These stability results are also accompanied by instability results in parameter regimes defined in terms of material constants. © 2012 Springer Science+Business Media B.V.
CitationMajumdar A, Prior C, Goriely A (2012) Stability Estimates for a Twisted Rod Under Terminal Loads: A Three-dimensional Study. Journal of Elasticity 109: 75–93. Available: http://dx.doi.org/10.1007/s10659-012-9371-8.
SponsorsThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). AG is a Wolfson Royal Society Merit Holder. AM is also supported by an EPSRC Career Acceleration Fellowship EP/J001686/1. We also would like to thank John Maddocks for comments on an earlier version of this manuscript, and bringing to our attention important references.
JournalJournal of Elasticity