Stress-Strain State of a Two-Layer Partially Porous Medium Under External Pressure

The paper deals with the problem of the stress-strain state of a two-layer porous medium under external pressure. Each layer is modeled as a thin elastic medium with specified mass per unit area and stiffness. An intermediate layer connects the layers, with consideration of elastic and shear interactions between them. The porous bottom layer is in contact with a liquid. The bottom layer porosity is modeled using the rate of liquid penetration at its lower boundary that is determined by Darcy's law. The considered two-layer medium is subjected to periodic external pressure. The obtained solution for displacements and distributions of deformations in each layer is time-periodic. The behavior of the layers is investigated in relation to different values of intermediate layer parameters and porosity. It is found that the behavior of the layers, primarily the upper one, strongly depends on the parameters of the intermediate layer. Deformations in the layers increase with increasing porosity of the bottom layer.