On global and local minimizers of prestrained thin elastic rods

Marco Cicalese, Matthias Ruf, Francesco Solombrino

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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 Γ -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.

Original languageEnglish
Article number115
JournalCalculus of Variations and Partial Differential Equations
Volume56
Issue number4
DOIs
StatePublished - 1 Aug 2017

Keywords

  • 49J45
  • 49S05
  • 74K10

Fingerprint

Dive into the research topics of 'On global and local minimizers of prestrained thin elastic rods'. Together they form a unique fingerprint.

Cite this