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.
Hemihelical local minimizers in prestrained elastic bi-strips / Cicalese, Marco; Ruf, Matthias; Solombrino, Francesco. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - 68:6(2017). [10.1007/s00033-017-0870-0]
Hemihelical local minimizers in prestrained elastic bi-strips
Cicalese, Marco;SOLOMBRINO, Francesco
2017
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.