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Homogenization of very rough three-dimensional interfaces for the poroelasticity theory with biot’s model

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n this paper, we carry out the homogenization of a very rough threedimensional interface separating two dissimilar generally anisotropic poroelastic solids modeled by the Biot theory. The very rough interface is assumed to be a cylindrical surface that rapidly oscillates between two parallel planes, and the motion is time-harmonic. Using the homogenization method with the matrix formulation of the poroelasicity theory, the explicit homogenized equations have been derived. |