A COMBINED CAPILLARITY AND ELASTICITY PROBLEM FOR A THIN-PLATE

The equilibrium of an elastic thin plate in contact with a drop of flu id (both surrounded by another fluid), including capillarity (i.e., th e thermodynamic properties of the fluid-fluid and solid-fluid surfaces ), leads to a variational problem with discontinuities of some derivat ives of the elastic displacement of the plate at the solid-fluid-fluid contact line. Owing to the elasticity of the solid, the classical cap illary Young's equation is modified.