Ian Wark Research Institute,
University of South Australia, Mawson Lakes SA 5095 Australia.
Langmuir 17, 8217-8223 (2001)
Abstract
It is shown that gas bubbles and liquid droplets
respond identically as Hookean springs to applied loads.
An analytic expression is obtained for the
spring constant that is linear in the surface tension $\gamma$,
and logarithmically dependent on the lengths,
(the decay length of the interaction,
the radius of the bubble or droplet,
and the radius of the particle or probe).
For acute interior contact angles greater than about 20$^\circ$
it is typically in the range 0.8--1.2$\gamma$,
in agreement with published atomic force microscopy data,
and it increases logarithmically for smaller contact angles.
Analytic expressions are also obtained for the deformed profile,
the extent of the dimple and of the interaction region,
the wrapping radius, and the rupture force.
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