Anomalous strength of membranes with elastic ridges

Physics – Condensed Matter

Scientific paper

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4 pages, REVTEX, 3 figures

Scientific paper

10.1103/PhysRevLett.87.206105

We report on a simulational study of the compression and buckling of elastic ridges formed by joining the boundary of a flat sheet to itself. Such ridges store energy anomalously: their resting energy scales as the linear size of the sheet to the 1/3 power. We find that the energy required to buckle such a ridge is a fixed multiple of the resting energy. Thus thin sheets with elastic ridges such as crumpled sheets are qualitatively stronger than smoothly bent sheets.

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