Investigation for Mechanical Properties of Porous Materials Based on Homogenization Theory

This paper investigated the macro-mechanical properties of three dimension porous materials consisted of periodically arrayed base units with random pore distribution using homogenization theory. The model of base unit using random numbers was established. A finite element method of homogenization equations was derived for the three dimension periodic structures and was applied to the calculation of the equivalent elastic modulus of porous materials with various porosities.The results shows the equivalent elastic modulus of three dimension porous material has significantly negative correlation with the porosity of material (p < 0.001) and the regression equation is E=(-19.4)ρ+17.6(E=equivalent elastic modulus, ρ=porosity ) when the elastic modulus of the solid matrix is 18 Gpa.