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- W33362884 abstract "The surface tension of compliant materials such as gels provides resistance to deformation in addition to and sometimes surpassing that due to elasticity. This article studies how surface tension changes the contact mechanics of a small hard sphere indenting a soft elastic substrate. Previous studies have examined the special case where the external load is zero, so contact is driven by adhesion alone. Here we tackled the much more complicated problem where, in addition to adhesion, deformation is driven by an indentation force. We presented an exact solution based on small strain theory. The relation between indentation force (displacement) and contact radius is found to depend on two dimensionless parameters: the elasto-capillary number $alpha=sigma/(2mu R)$ and the normalized work of adhesion $W_{textrm{ad}}/(mu R)$, where $mu$ is the shear modulus of the substrate, $R$ the sphere radius, $sigma$ the surface tension of substrate-air interface and $W_{textrm{ad}}$ is the interfacial work of adhesion. Our theory reduces to the Johnson-Kendall-Roberts theory in the limit of small elasto-capillary number and in the limit of large elasto-capillary number compares well with experimental data." @default.
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- W33362884 date "2014-09-25" @default.
- W33362884 modified "2023-09-23" @default.
- W33362884 title "Role of Surface Tension in Adhesive Contact between a Rigid Sphere and a Soft Elastic Substrate" @default.
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