A numerical simulation of elastic-plastic compression is carried out. Absolutely rigid plates moved symmetrically towards each other and compressed the symmetrical fragment. The simulation was performed in ANSYS and ANSYS LS-DYNA. Compression was produced by an absolutely rigid plate. In the numerical simulation, a multilinear plasticity model with isotropic hardening and an experimentally obtained material deformation pattern were used. We studied the effect of time constraints of the loading impulse, the effect of the difference between static and dynamic diagrams of the material deformation. The main influence on the dynamic behavior of a fragment of a porous steel mesh package is exerted by the dynamic properties of the wire material (the difference between the dynamic strain diagram and the static one). The final duration of the loading pulse and the friction between the wires for this type of mesh have no significant effect. Numerical dependences of the relative area of the normal and lateral flow section of a symmetric fragment of the grid package on the compression deformation are obtained.