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Wrinkling Hierarchy in Constrained Thin Sheets from Suspended Graphene to Curtains

Abstract : The drive towards miniaturization in technology is demanding for increasingly thinner components, raising new mechanical challenges. Thin films are however unstable to boundary or substrate-induced compressive loads. Moderate compression results in regular wrinkling while further confinement can lead to crumpling. Regions of stress focusing can be a hindrance, acting as nucleation points for mechanical failure. Conversely, they can be exploited constructively for tunable thin structures. For example, singular points of deformation dramatically affect the electronic properties of graphene. Here, we show that thin sheets under boundary confinement spontaneously generate a universal self-similar hierarchy of wrinkles; from strained suspended graphene to ordinary hanging curtains. We develop a formalism based on "wrinklons", a localized transition zone in the merging of two wrinkles, as building-blocks to describe these wrinkled patterns. Our approach may find applications in domains such as graphene-based electronics, fuel cell technology, thin-film solar cells or draping in virtual reality.
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Submitted on : Wednesday, December 22, 2010 - 12:09:34 AM
Last modification on : Friday, August 5, 2022 - 11:54:09 AM

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Hugues Vandeparre, Miguel Pineirua, Fabian Brau, Benoit Roman, Jose Bico, et al.. Wrinkling Hierarchy in Constrained Thin Sheets from Suspended Graphene to Curtains. Physical Review Letters, 2011, 106 (22), pp.224301. ⟨10.1103/PhysRevLett.106.224301⟩. ⟨hal-00549423⟩



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