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- Title
On global and local minimizers of prestrained thin elastic rods.
- Authors
Cicalese, Marco; Ruf, Matthias; Solombrino, Francesco
- Abstract
We study the stable configurations of a thin three-dimensional weakly prestrained rod subject to a terminal load as the thickness of the section vanishes. By $$\Gamma $$ -convergence we derive a one-dimensional limit theory and show that isolated local minimizers of the limit model can be approached by local minimizers of the three-dimensional model. In the case of isotropic materials and for two-layers prestrained three-dimensional models the limit energy further simplifies to that of a Kirchhoff rod-model of an intrinsically curved beam. In this case we study the limit theory and investigate global and/or local stability of straight and helical configurations.
- Subjects
ELASTIC rods &; wires; MECHANICAL loads; STOCHASTIC convergence; ISOTROPIC properties; CURVED beams; LIMIT theorems
- Publication
Calculus of Variations & Partial Differential Equations, 2017, Vol 56, Issue 4, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-017-1197-6