Influence of pore geometry and porosity on elastic properties of porous materials

The generalized method of cells(GMC)was used to study the influence of pore geometry and porosity on equivalent elastic parameters of porous materials. 2D models with square and circular pore geometry and 3D models with cubic and spherical pore geometry were used to simulate porous materials. The results of equivalent elastic parameters under different porosities show that different pore geometry affects the degradation of equivalent elastic parameters with increasing of porosity. The comparison of 2D and 3D models indicates that 2D models would underestimate equivalent elastic parameters of porous materials. Experimental data from existing literature were used to verify the accuracy of GMC prediction, and both are in good agreement. Finally, GMC results were compared with finite element and empirical model to obtain the limitation of GMC model. It can be summarized from all the calculations that GMC has certain accuracy and could be used in engineering analysis.