期刊
SOFT MATTER
卷 9, 期 45, 页码 10699-10704出版社
ROYAL SOC CHEMISTRY
DOI: 10.1039/c3sm51780b
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资金
- Ecole Normale Superieure of Paris
- Fondation Langlois
Using a thermodynamical approach, we calculate the deformation of a spherical elastic particle placed on a rigid substrate, under zero external load, and including an ingredient of importance in soft matter: the interfacial tension of the cap. In a first part, we limit the study to small deformation. In contrast with previous studies, we obtain an expression for the energy that precisely contains the JKR and Young-Dupre asymptotic regimes, and which establishes a continuous bridge between them. In the second part, we consider the large deformation case, which is relevant for future comparison with numerical simulations and experiments on very soft materials. Using a fruitful analogy with fracture mechanics, we derive the exact energy of the problem and thus obtain the equilibrium state for any given choice of physical parameters.
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