%0 Journal Article
%T From adhesion to wetting of a soft particle
%A Thomas Salez
%A Michael Benzaquen
%A Elie Rapha£żl
%J Physics
%D 2013
%I arXiv
%R 10.1039/C3SM51780B
%X 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 works, we obtain an expression for the energy that precisely contains the JKR and Young-Dupr\'e asymptotic regimes, and which establishes a continuous bridge between them. In a 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.
%U http://arxiv.org/abs/1309.1755v1