Scaling properties of stretching ridges in a crumpled elastic sheet

Alex Lobkovsky, Sharon Gentges, Hao Li, David Morse, T. A. Witten

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Strong deformation of a sheet of solid material often leads to a crumpled state having sharp points of high curvature. A scaling property governing the crumpled state has been numerically demostrated by an examination of the ridges joining pairs of sharp points in a range of simple geometries of variable size. As the linear size X increases sufficiently, the deformation energy grows as X1/3 and consists of similar amounts of bending and stretching energy. The deformation energy becomes concentrated in a fraction of the sheet that decreases as X1/3. Despite this concentration, the local strain in the ridge decreases as X2/3. Nearly all the deformation energy in thin, crumpled elastic sheets was found to be concentrated in ridges that obey these scaling laws.

Original languageEnglish (US)
Pages (from-to)1482-1485
Number of pages4
Issue number5241
StatePublished - 1995

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