# Hemihelical local minimizers in prestrained elastic bi-strips

created by cicalese on 19 Jan 2017

[BibTeX]

Preprint

Inserted: 19 jan 2017
Last Updated: 19 jan 2017

Year: 2017

Abstract:

We consider a double layered prestrained elastic rod in the limit of vanishing cross section. For the resulting limit Kirchoff-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.