Homogenization of Interfaces between Rapidly Oscillating Fine Elastic Structures and Fluids

The paper studies the interaction of a periodic solid bristle structure with a fluid. Such problems arise, for example, when modelling biotechnological devices operating in liquids or when simulating epithelium surfaces of blood vessels. The fluid is described by the linearized Navier-Stokes equation whereas the solid part is governed by equations of linear elasticity. The interface conditions are accounted. A homogenized model of the structure is derived by employing the two-scale convergence technique. The model describes a new material which possesses some interesting properties.