Abstract
In the present paper, we derive effective dynamic equations and analyze the spectral properties of strongly inhomogeneous media such as elastic porous materials saturated by a fluid and two-fluid mixtures (suspensions).We also study the structure of the natural vibration spectrum of bounded volumes for several effective models and the convergence rate of solutions of the original boundary value problems for two-phase media to the corresponding solutions of the effective (homogenized) boundary value problems.
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Original Russian Text © D.A. Kosmodem’yanskii, A.S. Shamaev, 2009, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2009, No. 6, pp. 75–114.
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Kosmodem’yanskii, D.A., Shamaev, A.S. Spectral properties of some problems in mechanics of strongly inhomogeneous media. Mech. Solids 44, 874–906 (2009). https://doi.org/10.3103/S0025654409060077
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DOI: https://doi.org/10.3103/S0025654409060077