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Hemihelical local minimizers in prestrained elastic bi-strips

  • Marco Cicalese
  • Matthias Ruf
  • Francesco Solombrino
Article

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.

Keywords

Hemihelical minimizers Prestrain Bifurcation Elasticity 

Mathematics Subject Classification

34K18 74K10 49J45 74B20 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Marco Cicalese
    • 1
  • Matthias Ruf
    • 1
  • Francesco Solombrino
    • 1
    • 2
  1. 1.Zentrum Mathematik - M7Technische Universität MünchenGarchingGermany
  2. 2.Dip. Mat. Appl. “Renato Caccioppoli”Univ. Napoli “Federico II”NaplesItaly

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