Homogenization of the acoustic equations for a porous long-memory viscoelastic material filled with a viscous fluid |
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Authors: | A S Shamaev V V Shumilova |
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Institution: | 1. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
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Abstract: | We consider the system of linear differential and integro-differential equations describing small vibrations in an ?-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 ? ?? 0. |
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