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92. "Deformation and Adhesive Contact of Elastomeric Membranes" Flory, A.L.; Brass, D.A.; Shull, K.R., J. Polym. Sci. B: Polym. Phys. Ed., 45, 3361 (2007).
We have developed a highly sensitive inflation technique for probing adhesive
interactions between soft materials. In this method, an elastomeric membrane
is placed across a cylindrical glass tube and is pressurized into contact with
a substrate. The adhesive interaction between the membrane and the substrate
is obtained from the angle of contact, which is determined indirectly from
the measured contact radius and applied pressure. An analysis of the membrane
profile based on the numerical solution of the axisymmetric Laplace equation
is developed. In a non-adhesive situation, where the membrane contact angle
is known to be zero, the analysis is used to obtain the relationship between
the membrane deformation and the biaxial membrane strain. Linearization of
the governing equations is used to develop an analytic solution for the contact
angle and energy release rate, making a connection to existing, more restrictive
analyses of this problem. Results from three different types of membranes are
presented as illustrative applications of the method. The substrate in these
experiments is the gold electrode surface of a quartz crystal resonator, and
the effect of membrane contact on the crystal resonance is summarized briefly.
Adhesive interactions between the membranes are minimized in most cases by
adding a grafted polyethylene glycol brush to one or both of the contacting
surfaces.
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