The paper investigates the plastic deformation processes in metal materials using the numerical methods, in particular, the finite-element method. The calculation and experimental technique developed for determining the rheological characteristics of a porous material is performed according to the well-known mechanical characteristics of the material’s particles on the basis of analyzing the deformation of an idealized model of a porous body. We have considered an idealized model of the porous body, based on which we simulated the deformation process of a representative elementary cell shaped as 1/8th of a cube with a spherical pore. The simulation results are in good agreement with the experimental data on the pressing of the AKB-2.5 porous material. This means it is possible to use the developed calculation and experimental technique for determining the rheological characteristics of a porous body from the known yield point values of the particle material for simulating the consolidation processes of porous materials.