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 twoscale convergence technique. The model describes a new material which possesses some interesting properties.