Calculus of Variations and Geometric Measure Theory
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M. Cicalese - M. Ruf - F. Solombrino

Hemihelical local minimizers in prestrained elastic bi-strips

created by cicalese on 19 Jan 2017
modified by solombrin on 20 Sep 2017


Accepted Paper

Inserted: 19 jan 2017
Last Updated: 20 sep 2017

Journal: Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Year: 2017


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.


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