Articles with "elastic sheet" as a keyword



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An asymptotic variational problem modeling a thin elastic sheet on a liquid, lifted at one end

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Published in 2020 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6161

Abstract: We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gravity and… read more here.

Keywords: problem modeling; variational problem; sheet; elastic sheet ... See more keywords
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On the dynamics of a thin viscous film spreading between a permeable horizontal plate and an elastic sheet

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Published in 2018 at "Journal of Fluid Mechanics"

DOI: 10.1017/jfm.2018.61

Abstract: The two-dimensional dynamics of a thin film of viscous fluid spreading between a permeable horizontal plate and an overlying thin elastic sheet is explored. We use a lubrication model to describe the balance between the… read more here.

Keywords: permeable horizontal; spreading permeable; sheet; dynamics thin ... See more keywords
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Viscous-fingering mechanisms under a peeling elastic sheet

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Published in 2019 at "Journal of Fluid Mechanics"

DOI: 10.1017/jfm.2019.59

Abstract: We study the mechanisms affecting the viscous-fingering instability in an elastic-walled Hele-Shaw cell by considering the stability of steady states of unidirectional peeling-by-pulling and peeling-by-bending. We demonstrate that the elasticity of the wall influences the… read more here.

Keywords: mechanisms peeling; viscous fingering; elastic sheet; fingering mechanisms ... See more keywords
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Positive disclination in a thin elastic sheet with boundary.

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Published in 2021 at "Physical review. E"

DOI: 10.1103/physreve.104.065002

Abstract: An isolated positive wedge disclination deforms an initially flat elastic sheet into a perfect cone when the sheet is of infinite extent and is elastically inextensible. The latter requires the elastic stretching strains to be… read more here.

Keywords: field; sheet; gaussian curvature; dirac singularity ... See more keywords
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Heat transport mechanism via ion-slip and hall current in viscoplastic flow along a porous elastic sheet

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Published in 2021 at "Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering"

DOI: 10.1177/09544089211051596

Abstract: Heat transfer phenomena occur in most of the natural as well as engineering or manufacturing production plants. Such significant industrial processes utilize various modes for the transportation of heat and energy. In this veneration, the… read more here.

Keywords: porous elastic; transport; elastic sheet; ion ... See more keywords