Stability estimates for a twisted rod under terminal loads: a three-dimensional study

The stability of an inextensible unshearable elastic rod with quadratic strain energy density subject to end loads is considered. A self-contained proof in terms of local energy minimizers is presented and optimal bounds are obtained for the problem.

Bibliographic Details
Main Authors: Majumdar, A, Prior, C, Goriely, A
Format: Journal article
Published: 2011
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author Majumdar, A
Prior, C
Goriely, A
author_facet Majumdar, A
Prior, C
Goriely, A
author_sort Majumdar, A
collection OXFORD
description The stability of an inextensible unshearable elastic rod with quadratic strain energy density subject to end loads is considered. A self-contained proof in terms of local energy minimizers is presented and optimal bounds are obtained for the problem.
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spelling oxford-uuid:87e52b2c-bf5f-45e8-bc8c-876c6dfa53fb2022-03-26T22:13:26ZStability estimates for a twisted rod under terminal loads: a three-dimensional study Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:87e52b2c-bf5f-45e8-bc8c-876c6dfa53fbMathematical Institute - ePrints2011Majumdar, APrior, CGoriely, AThe stability of an inextensible unshearable elastic rod with quadratic strain energy density subject to end loads is considered. A self-contained proof in terms of local energy minimizers is presented and optimal bounds are obtained for the problem.
spellingShingle Majumdar, A
Prior, C
Goriely, A
Stability estimates for a twisted rod under terminal loads: a three-dimensional study
title Stability estimates for a twisted rod under terminal loads: a three-dimensional study
title_full Stability estimates for a twisted rod under terminal loads: a three-dimensional study
title_fullStr Stability estimates for a twisted rod under terminal loads: a three-dimensional study
title_full_unstemmed Stability estimates for a twisted rod under terminal loads: a three-dimensional study
title_short Stability estimates for a twisted rod under terminal loads: a three-dimensional study
title_sort stability estimates for a twisted rod under terminal loads a three dimensional study
work_keys_str_mv AT majumdara stabilityestimatesforatwistedrodunderterminalloadsathreedimensionalstudy
AT priorc stabilityestimatesforatwistedrodunderterminalloadsathreedimensionalstudy
AT gorielya stabilityestimatesforatwistedrodunderterminalloadsathreedimensionalstudy