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A mathematical model of a porous material is considered, in which an elastic
skeleton and two fluid phases filling the pores are discerned. The dynamic equations are
written in Laplace-type representation for unknown displacement functions of the skeleton
and pore pressures of the fillers. The fundamental solutions of the defining differential
equations are numerically-analytically studied. A solution in the time-domain is constructed,
using the time-step method of numerically inverting Laplace transform.
Keywords: elastic diffusion, unsteady problems, Green's functions, integral transformations |
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