Deformations of a pre-stretched and lubricated finite elastic sheet. Boyko, E., Gat, A., D., & Bercovici, M. Journal of Fluid Mechanics, 3, 2017. ![Deformations of a pre-stretched and lubricated finite elastic sheet [link]](https://bibbase.org/img/filetypes/link.svg "link")
Website abstract bibtex The interaction of an elastic sheet with a thin viscous film appears in a wide range of natural phenomena and can be utilized as an actuation mechanism for surface deformations, applicable to microfluidics, optics, and soft robotics. Implementation of such configurations inherently takes place over finite domains and often requires pre-stretching of the sheet. Under the assumptions of strong pre-stretching and small deformations of the lubricated elastic sheet, we derive Green's functions describing the deformation in a finite domain due to external forces acting either directly on the sheet or through the fluid, accounting for both bending and stretching effects. Using these Green's functions we provide a closed-form solution for the case of a square-shaped actuation and present the effect of pre-stretching on the dynamics of the deformation. We further study the dependence of the deformation magnitude on the spatial wavenumber, revealing its effect on the transition between stretching and bending dominant regimes. Finally, we present the effect of spatial discretization of the forcing (representing practical actuation) on the achievable resolution.
@article{
title = {Deformations of a pre-stretched and lubricated finite elastic sheet},
type = {article},
year = {2017},
identifiers = {[object Object]},
websites = {http://arxiv.org/abs/1703.06820},
month = {3},
day = {20},
id = {c7e49b89-7dd8-3411-8c0f-1e2423c61cd8},
created = {2019-01-20T05:45:06.242Z},
accessed = {2019-01-19},
file_attached = {false},
profile_id = {dc1fdcdf-637d-32ee-a353-6a1d76918405},
last_modified = {2019-01-27T01:48:17.800Z},
read = {false},
starred = {false},
authored = {true},
confirmed = {true},
hidden = {false},
private_publication = {false},
abstract = {The interaction of an elastic sheet with a thin viscous film appears in a wide range of natural phenomena and can be utilized as an actuation mechanism for surface deformations, applicable to microfluidics, optics, and soft robotics. Implementation of such configurations inherently takes place over finite domains and often requires pre-stretching of the sheet. Under the assumptions of strong pre-stretching and small deformations of the lubricated elastic sheet, we derive Green's functions describing the deformation in a finite domain due to external forces acting either directly on the sheet or through the fluid, accounting for both bending and stretching effects. Using these Green's functions we provide a closed-form solution for the case of a square-shaped actuation and present the effect of pre-stretching on the dynamics of the deformation. We further study the dependence of the deformation magnitude on the spatial wavenumber, revealing its effect on the transition between stretching and bending dominant regimes. Finally, we present the effect of spatial discretization of the forcing (representing practical actuation) on the achievable resolution.},
bibtype = {article},
author = {Boyko, Evgeniy and Gat, Amir D. and Bercovici, Moran},
journal = {Journal of Fluid Mechanics}
}
Downloads: 0
{"_id":"BBAiPxxYdGg3K7RMC","bibbaseid":"boyko-gat-bercovici-deformationsofaprestretchedandlubricatedfiniteelasticsheet-2017","downloads":0,"creationDate":"2019-01-27T01:48:47.443Z","title":"Deformations of a pre-stretched and lubricated finite elastic sheet","author_short":["Boyko, E.","Gat, A., D.","Bercovici, M."],"year":2017,"bibtype":"article","biburl":null,"bibdata":{"title":"Deformations of a pre-stretched and lubricated finite elastic sheet","type":"article","year":"2017","identifiers":"[object Object]","websites":"http://arxiv.org/abs/1703.06820","month":"3","day":"20","id":"c7e49b89-7dd8-3411-8c0f-1e2423c61cd8","created":"2019-01-20T05:45:06.242Z","accessed":"2019-01-19","file_attached":false,"profile_id":"dc1fdcdf-637d-32ee-a353-6a1d76918405","last_modified":"2019-01-27T01:48:17.800Z","read":false,"starred":false,"authored":"true","confirmed":"true","hidden":false,"private_publication":false,"abstract":"The interaction of an elastic sheet with a thin viscous film appears in a wide range of natural phenomena and can be utilized as an actuation mechanism for surface deformations, applicable to microfluidics, optics, and soft robotics. Implementation of such configurations inherently takes place over finite domains and often requires pre-stretching of the sheet. Under the assumptions of strong pre-stretching and small deformations of the lubricated elastic sheet, we derive Green's functions describing the deformation in a finite domain due to external forces acting either directly on the sheet or through the fluid, accounting for both bending and stretching effects. Using these Green's functions we provide a closed-form solution for the case of a square-shaped actuation and present the effect of pre-stretching on the dynamics of the deformation. We further study the dependence of the deformation magnitude on the spatial wavenumber, revealing its effect on the transition between stretching and bending dominant regimes. Finally, we present the effect of spatial discretization of the forcing (representing practical actuation) on the achievable resolution.","bibtype":"article","author":"Boyko, Evgeniy and Gat, Amir D. and Bercovici, Moran","journal":"Journal of Fluid Mechanics","bibtex":"@article{\n title = {Deformations of a pre-stretched and lubricated finite elastic sheet},\n type = {article},\n year = {2017},\n identifiers = {[object Object]},\n websites = {http://arxiv.org/abs/1703.06820},\n month = {3},\n day = {20},\n id = {c7e49b89-7dd8-3411-8c0f-1e2423c61cd8},\n created = {2019-01-20T05:45:06.242Z},\n accessed = {2019-01-19},\n file_attached = {false},\n profile_id = {dc1fdcdf-637d-32ee-a353-6a1d76918405},\n last_modified = {2019-01-27T01:48:17.800Z},\n read = {false},\n starred = {false},\n authored = {true},\n confirmed = {true},\n hidden = {false},\n private_publication = {false},\n abstract = {The interaction of an elastic sheet with a thin viscous film appears in a wide range of natural phenomena and can be utilized as an actuation mechanism for surface deformations, applicable to microfluidics, optics, and soft robotics. Implementation of such configurations inherently takes place over finite domains and often requires pre-stretching of the sheet. Under the assumptions of strong pre-stretching and small deformations of the lubricated elastic sheet, we derive Green's functions describing the deformation in a finite domain due to external forces acting either directly on the sheet or through the fluid, accounting for both bending and stretching effects. Using these Green's functions we provide a closed-form solution for the case of a square-shaped actuation and present the effect of pre-stretching on the dynamics of the deformation. We further study the dependence of the deformation magnitude on the spatial wavenumber, revealing its effect on the transition between stretching and bending dominant regimes. Finally, we present the effect of spatial discretization of the forcing (representing practical actuation) on the achievable resolution.},\n bibtype = {article},\n author = {Boyko, Evgeniy and Gat, Amir D. and Bercovici, Moran},\n journal = {Journal of Fluid Mechanics}\n}","author_short":["Boyko, E.","Gat, A., D.","Bercovici, M."],"urls":{"Website":"http://arxiv.org/abs/1703.06820"},"bibbaseid":"boyko-gat-bercovici-deformationsofaprestretchedandlubricatedfiniteelasticsheet-2017","role":"author","downloads":0},"search_terms":["deformations","pre","stretched","lubricated","finite","elastic","sheet","boyko","gat","bercovici"],"keywords":[],"authorIDs":[]}