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.

Detalhes bibliográficos
Main Authors: Majumdar, A, Prior, C, Goriely, A
Formato: Journal article
Publicado em: 2011
Descrição
Resumo: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.