title: How a curved elastic strip opens.
abstract: An elastic strip is transversely clamped in a curved frame. The induced curvature decreases as the strip opens and connects to its flat natural shape. Various ribbon profiles are measured and the scaling law for the opening length validates a description where the in-plane stretching gradually relaxes the bending stress. An analytical model of the strip profile is proposed and a quantitative agreement is found with both experiments and simulations of the plates equations. This result provides a unique illustration of smooth nondevelopable solutions in thin sheets.
authors.affiliation: Department of Mechanics, LadHyX, École Polytechnique-CNRS, 91128 Palaiseau, France and Université Grenoble Alpes, LEGI, F-38000 Grenoble, France CNRS, LEGI, F-38000 Grenoble, France.
authors.forename: Thomas
authors.initials: T
authors.lastname: Barois
authors.affiliation: Department of Mechanics, LadHyX, École Polytechnique-CNRS, 91128 Palaiseau, France.
authors.forename: Loïc
authors.initials: L
authors.lastname: Tadrist
authors.affiliation: Université Grenoble Alpes/CNRS UMR 5588, LIPhy, 38041 Grenoble, France.
authors.forename: Catherine
authors.initials: C
authors.lastname: Quilliet
authors.affiliation: Aix-Marseille Université, CNRS UMR 7343, IUSTI 13453 Marseille Cedex 13, France.
authors.forename: Yoël
authors.initials: Y
authors.lastname: Forterre