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.
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Cicalese, M., Ruf, M. & Solombrino, F. Hemihelical local minimizers in prestrained elastic bi-strips. Z. Angew. Math. Phys. 68, 122 (2017). https://doi.org/10.1007/s00033-017-0870-0
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DOI: https://doi.org/10.1007/s00033-017-0870-0