منابع مشابه
Buckling Behavior of Substrate Supported Graphene Sheets
The buckling of graphene sheets on substrates can significantly degrade their performance in materials and devices. Therefore, a systematic investigation on the buckling behavior of monolayer graphene sheet/substrate systems is carried out in this paper by both molecular mechanics simulations and theoretical analysis. From 70 simulation cases of simple-supported graphene sheets with different s...
متن کاملScaling of the buckling transition of ridges in thin sheets.
When a thin elastic sheet crumples, the elastic energy condenses into a network of folding lines and point vertices. These folds and vertices have elastic energy densities much greater than the surrounding areas, and most of the work required to crumple the sheet is consumed in breaking the folding lines or "ridges." To understand crumpling it is then necessary to understand the strength of the...
متن کاملSimulating Thin Sheets: Buckling, Wrinkling, Folding and Growth
Numerical simulations of thin sheets undergoing large deformations are computationally challenging. Depending on the scenario, they may spontaneously buckle, wrinkle, fold, or crumple. Nature’s thin tissues often experience significant anisotropic growth, which can act as the driving force for such instabilities. We use a recently developed finite element model to simulate the rich variety of n...
متن کاملCrumpling, buckling, and cracking: Elasticity of thin sheets
crumple, stretch, or tear it. Sometimes the sheet can spring right back to its original form, as with a roll of paper, while other times it is permanently changed, as with torn plastic. Much can be learned from such everyday acts. The subtle mathematics of differential geometry is needed to make sense of the deformed sheets, and along the way it offers insights into issues such as the shapes of...
متن کاملPHYSICAL MATHEMATICS SEMINAR Isometric immersions and self-similar buckling in Non-Euclidean elastic sheets
The rippling patterns observed in torn elastic sheets, leaves and swelling hydrogels provide striking examples of periodic and self-similar patterns. Within the formalism of finite elasticity, it is understood that such patterns arise from the sheet buckling to relieve growth induced residual strains. While numerical experiments set within this framework have been able to replicate these patter...
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ژورنال
عنوان ژورنال: Nature
سال: 2002
ISSN: 0028-0836,1476-4687
DOI: 10.1038/419579a