Published Paper

Inserted: 19 jan 2017
Last Updated: 9 oct 2017

Journal: Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Volume: 68
Number: 6
Pages: 122
Year: 2017
Doi: 10.1007/s00033-017-0870-0

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.

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