Calculus of Variations and Geometric Measure Theory

L. Freddi - P. Hornung - M. G. Mora - R. Paroni

A corrected Sadowsky functional for inextensible elastic ribbons

created by freddi on 01 Sep 2015
modified on 10 Jan 2017


Published Paper

Inserted: 1 sep 2015
Last Updated: 10 jan 2017

Journal: Journal of Elasticity
Volume: 123
Pages: 125–136
Year: 2016
Doi: 10.1007/s10659-015-9551-4


The classical theory of ribbons, developed by Sadowsky and Wunderlich, has recently received renewed attention. Here, by means of $\Gamma$-convergence, we re-examine the derivation of the limit energy of an inextensible, isotropic, elastic strip as the width goes to zero. We find that this rigorously derived functional agrees with the classical Sadowsky functional only for "large" curvature of the centerline of the strip.

Keywords: Sadowsky functional, Elastic ribbons , Gamma-convergence