Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

M. Cicalese - M. Ruf - F. Solombrino

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.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1