The hybrid homogenization model of elastic anisotropic porous materials

A hybrid model of homogenization of elastic anisotropic porous materials with non-spherical pores was proposed. Instead of the localization strain tensors as a ratio of average strain of a phase and composite, the model considers the effective volume tensors of averaged strain as the ratio of the strain amounts in the phase and composite volumes. The effective volumes of the averaged strains of anisotropic porous material with non-spherical pores are expressed in terms of the phenomenological models of an isotropic material with spherical pores. The results of calculation of elasticity moduli of the transversely isotropic porous materials are in close agreement with the experimental data and simulation results.