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RESEARCH PRODUCT
Crumpling of a stiff tethered membrane.
J. TimonenJan ÅStrömMikko Karttunensubject
Physicsgeographygeography.geographical_feature_categoryanimal structuresStatistical Mechanics (cond-mat.stat-mech)General Physics and AstronomyStiffnessFOS: Physical sciencesMechanicsCondensed Matter - Soft Condensed MatterContact forceQuantitative Biology::Subcellular ProcessesCondensed Matter::Soft Condensed MatterWavelengthAmplitudeClassical mechanicsBucklingRidgemedicineSoft Condensed Matter (cond-mat.soft)medicine.symptomDivergence (statistics)ScalingCondensed Matter - Statistical Mechanicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-09-22 | Physical review letters |