Hemihelical local minimizers in prestrained elastic bi-strips

Marco Cicalese, Matthias Ruf, Francesco Solombrino

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We consider a double-layered prestrained elastic rod in the limit of vanishing cross section. For the resulting limit Kirchhoff rod model with intrinsic curvature, we prove a supercritical bifurcation result, rigorously showing the emergence of a branch of hemihelical local minimizers from the straight configuration, at a critical force and under clamping at both ends. As a consequence we obtain the existence of nontrivial local minimizers of the 3-d system.

Original languageEnglish
Article number122
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume68
Issue number6
DOIs
StatePublished - 1 Dec 2017

Keywords

  • Bifurcation
  • Elasticity
  • Hemihelical minimizers
  • Prestrain

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