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Capillary Adhesion of Elastic Bodies under the Conditions of Partial Slip

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Abstract

A contact problem is considered for an elastic axisymmetric indenter, the shape of which is described by a power-law function, and an elastic half-space in the conditions of capillary adhesion, i.e., in the presence of a liquid meniscus pulling onto the surfaces outside the contact region. The contacting bodies are subjected to normal and tangential loads under the conditions of partial slip, the two-term Coulomb friction law being assumed in the slip region. Under the assumption of similar materials of the indenter and half-space, the analytic relations are obtained for the tangential stress distribution in the contact region, tangential load and displacement, as well as the equation for the determination of the stick region radius. The contact characteristics are analyzed depending on the indenter shape, surface tension of the liquid, and capillary pressure in the meniscus.

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Funding

The study was supported by the Russian Foundation for Basic Research, grant no. 21-58-52006.

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Correspondence to Yu. Yu. Makhovskaya.

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The author declares that she has no conflicts of interest.

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Translated by M. Chubarova

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Makhovskaya, Y.Y. Capillary Adhesion of Elastic Bodies under the Conditions of Partial Slip. Mech. Solids 57, 1689–1700 (2022). https://doi.org/10.3103/S0025654422070123

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  • DOI: https://doi.org/10.3103/S0025654422070123

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