Abstract
We consider the system of linear differential and integro-differential equations describing small vibrations in an ɛ-periodic combined medium consisting of a porous long-memory viscoelastic material and a viscous fluid filling the pores. By using the two-scale convergence method, we construct the system of homogenized equations and prove the convergence of solutions of the original problems to the solution of the homogenized problem as ɛ → 0.
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