Crumpling of a stiff tethered membrane

Abstract

first-principles numerical simulation model for crumpling of a stiff tethered membrane is introduced. In our model membranes, wrinkles, ridge formation, ridge collapse, as well as the initiation of stiffness divergence, are observed. The ratio of the amplitude and wave length of the wrinkles, and the scaling exponent of the stiffness divergence, are consistent with both theory and experiment. We observe that close to the stiffness divergence there appears a crossover beyond which the elastic behavior of a tethered membrane becomes similar to that of dry granular media. This suggests that ridge formation in membranes and force-chain network formation in granular packings are different manifestations of a single phenomenon.

For full resolution figures, please send us an email

References in corpus (5)

• Random Packings of Frictionless Particles
• Crumpling a Thin Sheet
• Anomalous strength of membranes with elastic ridges
• Scaling of the buckling transition of ridges in thin sheets
• Singularities, Structures and Scaling in Deformed Elastic m-Sheets

Cited by in corpus (7)

• A comparative study of crumpling and folding of thin sheets
• The Statistics of Crumpled Paper
• Morphological Phases of Crumpled Wire
• Modeling the buckling and delamination of thin films
• Entropic rigidity of a crumpling network in a randomly folded thin sheet
• X-ray tomography of a crumpled plastoelastic thin sheet
• Condensation of elastic energy in two-dimensional packing of wire