Multiple equilibria in a simple elastocapillary system
We consider the elastocapillary interaction of a liquid drop placed between two elastic beams, which are both clamped at one end to a rigid substrate. This is a simple model system relevant to the problem of surface-tension-induced collapse of flexible micro-channels that has been observed in the ma...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1797059797547220992 |
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| author | Taroni, M Vella, D |
| author_facet | Taroni, M Vella, D |
| author_sort | Taroni, M |
| collection | OXFORD |
| description | We consider the elastocapillary interaction of a liquid drop placed between two elastic beams, which are both clamped at one end to a rigid substrate. This is a simple model system relevant to the problem of surface-tension-induced collapse of flexible micro-channels that has been observed in the manufacture of microelectromechanical systems (MEMS). We determine the conditions under which the beams remain separated, touch at a point, or stick along a portion of their length. Surprisingly, we show that in many circumstances multiple equilibrium states are possible. We develop a lubrication-type model for the flow of liquid out of equilibrium and thereby investigate the stability of the multiple equilibria. We demonstrate that for given material properties two stable equilibria may exist, and show via numerical solutions of the dynamic model that it is the initial state of the system that determines which stable equilibrium is ultimately reached. © 2012 Cambridge University Press. |
| first_indexed | 2024-03-06T20:09:14Z |
| format | Journal article |
| id | oxford-uuid:2a009ba7-693e-4da6-8818-b4845ebf95ba |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:09:14Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:2a009ba7-693e-4da6-8818-b4845ebf95ba2022-03-26T12:22:20ZMultiple equilibria in a simple elastocapillary systemJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2a009ba7-693e-4da6-8818-b4845ebf95baEnglishSymplectic Elements at Oxford2012Taroni, MVella, DWe consider the elastocapillary interaction of a liquid drop placed between two elastic beams, which are both clamped at one end to a rigid substrate. This is a simple model system relevant to the problem of surface-tension-induced collapse of flexible micro-channels that has been observed in the manufacture of microelectromechanical systems (MEMS). We determine the conditions under which the beams remain separated, touch at a point, or stick along a portion of their length. Surprisingly, we show that in many circumstances multiple equilibrium states are possible. We develop a lubrication-type model for the flow of liquid out of equilibrium and thereby investigate the stability of the multiple equilibria. We demonstrate that for given material properties two stable equilibria may exist, and show via numerical solutions of the dynamic model that it is the initial state of the system that determines which stable equilibrium is ultimately reached. © 2012 Cambridge University Press. |
| spellingShingle | Taroni, M Vella, D Multiple equilibria in a simple elastocapillary system |
| title | Multiple equilibria in a simple elastocapillary system |
| title_full | Multiple equilibria in a simple elastocapillary system |
| title_fullStr | Multiple equilibria in a simple elastocapillary system |
| title_full_unstemmed | Multiple equilibria in a simple elastocapillary system |
| title_short | Multiple equilibria in a simple elastocapillary system |
| title_sort | multiple equilibria in a simple elastocapillary system |
| work_keys_str_mv | AT taronim multipleequilibriainasimpleelastocapillarysystem AT vellad multipleequilibriainasimpleelastocapillarysystem |