Properties of ridges in elastic membranes
- 1 February 1997
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 55 (2), 1577-1589
- https://doi.org/10.1103/physreve.55.1577
Abstract
When a thin elastic sheet is confined to a region much smaller than its size the morphology of the resulting crumpled membrane is a network of straight ridges or folds that meet at sharp vertices. A virial theorem predicts the ratio of the total bending and stretching energies of a ridge. Small strains and curvatures persist far away from the ridge. We discuss several kinds of perturbations that distinguish a ridge in a crumpled sheet from an isolated ridge studied earlier [A. E. Lobkovsky, Phys. Rev. E 53, 3750 (1996)]. Linear response as well as buckling properties are investigated. We find that, quite generally, the energy of a ridge can change by no more than a finite fraction before it buckles.Keywords
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