Contact in a viscous fluid. Part 2. A compressible fluid and an elastic solid
2010 ◽
Vol 646
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pp. 339-361
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Keyword(s):
A lubrication theory is presented for the effect of fluid compressibility and solid elasticity on the descent of a two-dimensional smooth object falling under gravity towards a plane wall through a viscous fluid. The final approach to contact, which takes infinite time in the absence of both effects, is determined by numerical and asymptotic methods. Compressibility can lead to contact in finite time either during inertially generated oscillations or if the viscosity decreases sufficiently quickly with increasing pressure. The approach to contact is invariably slowed by allowing the solids to deform elastically; specific results are presented for an underlying elastic wall modelled as a foundation, half-space, membrane or beam.
2010 ◽
Vol 646
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pp. 327-338
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Keyword(s):
2016 ◽
Vol 442
(2)
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pp. 600-626
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Keyword(s):
Keyword(s):
Keyword(s):
2006 ◽
Vol 29
(7)
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pp. 683-698
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2021 ◽
pp. 095441002098456
Keyword(s):
1874 ◽
Vol 22
(148-155)
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pp. 46-47
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Keyword(s):
2015 ◽
Vol 52
◽
pp. 37-43
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Keyword(s):
1991 ◽
Vol 65
(3-5)
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pp. 276-282
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