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• W3096129136 abstract "The conformation of a long linear polymer dissolved in fluid and exposed to an extensional flow is well-known to exhibit a coil-stretch transition, which for sufficiently long chains can lead to bistability. The present work reports computations indicating that an analogous compact-stretched transition arises in the dynamics of a thin elastic sheet. Sheets of nominally circular, square or rectangular shape are simulated in planar and biaxial flows using a finite element method for the sheet conformations and a regularized Stokeslet method for the fluid flow. If a neo-Hookean constitutive model is used for the sheet elasticity, the sheets will stretch without bound once a critical extension rate, as characterized nondimensionally by a capillary number, is exceeded. Nonlinear elasticity, represented with the Yeoh model, arrests the stretching, leading to a highly-stretched steady state once the critical capillary number is exceeded. For all shapes and in both planar and biaxial extension, a parameter regime exists in which both weakly stretched (compact) and strongly stretched states can be found, depending on initial conditions. I.e. this parameter regime displays bistability. As in the long-chain polymer case, the bistable behavior arises from the hydrodynamic interaction between distant elements of the sheet, and vanishes if these interactions are artificially screened by use of a Brinkman model for the fluid motion. While the sheets can transiently display wrinkled shapes, all final shapes in planar and biaxial extension are planar." @default.
• W3096129136 created "2020-11-09" @default.
• W3096129136 creator A5023202198 @default.
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• W3096129136 date "2021-01-01" @default.
• W3096129136 modified "2023-09-23" @default.
• W3096129136 title "Coil–stretch-like transition of elastic sheets in extensional flows" @default.
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• W3096129136 doi "https://doi.org/10.1039/d0sm01630f" @default.
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