Homogenization of Interfaces Between Rapidly Oscillating Fine Elastic Structures and Fluids
Karl Heinz Hoffmann, Nikolai D. Botkin, V. N. Starovoîtov · SIAM Journal on Applied Mathematics · 2005
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.