Properties of Ridges in Elastic Membranes

Details Properties of Ridges in Elastic Membranes Properties of Ridges in Elastic Membranes

1996-09-06

arxiv.org/abs/cond-mat/9609068v2

Physics

Condensed Matter

13 pages, RevTeX, acknowledgement added

Scientific paper

10.1103/PhysRevE.55.1577

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.

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