VARIANT OF THE CONTINUUM MODEL OF EFFECTIVE ELASTIC MODULI OF TRANSVERSELY ISOTROPIC POROUS MATERIALS

摘要

A continuum model of the effective elastic moduli of transversely isotropic porous materials with nonspherical pores is proposed. A distinctive feature of the model is calculation of the concentration ratios of average strains of the Hill model by using the effective volumes of averaging of phase strains. Quantitatively, these volumes are the ratios of strains in the volume of a phase to the sum of strains in the volume of entire composite. The effective volumes of averaging for a nonspherical porous material are expressed in terms of the effective volumes of averaging of an isotropic material with spherical pores and Eshelby tensors. The calculated elastic moduli of a transversely isotropic material are in good agreement with experimental data.