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Treatment of the interface between fine elastic structures and fluids

The interaction of fine pin or bristle structures with fluids is studied. Such problems arise when modeling bimolecular layers moving in liquids or when simulating epithelium surfaces of blood vessels. We propose a homogenized model where the interaction between the bristles and the fluid is accounted through an averaged material whose properties are derived using the passage to the limit in the model based on the fluid-solid interface conditions as the number of the bristles goes to infinity whereas their thickness goes to zero. The model of such an averaged material is used for the study of a Love wave biosensor.