Modeling plastic deformation and fracture of porous materials

Strain hardening of a porous material was numerically modeled. The corresponding stress-strain (σ-ε) curves, the ultimate strength, and the strain at break were calculated for iron with a relative porosity in the interval from 0 to 30%. Anomalous behavior of these characteristics is observed at a porosity corresponding to the percolation transition from isolated pores to the “infinite” pore cluster. The proposed model adequately describes the available experimental data.