Stability Estimates for a Twisted Rod Under Terminal Loads: A Three-dimensional Study

Apala Majumdar, Christopher Prior, Alain Goriely

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The 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.
Original languageEnglish (US)
Pages (from-to)75-93
Number of pages19
JournalJournal of Elasticity
Volume109
Issue number1
DOIs
StatePublished - Mar 1 2012
Externally publishedYes

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