Abstract
Practically all properties of porous media (elastic moduli, thermal conductivity, electrical resistivity, etc.) are subject to potentially significant and nonlinear variations with regard to the degree of their porosity. This may be due, among other reasons, to the pore-to-pore interactions that stem from the elastic fields arising from the applied stresses. The nature of these interactions is disputed-whether they are attractive or repulsive among the pores-thus hindering the estimations about such property variations. Herein, a numerical solution is provided, devoid of the shortcomings of the previous models, showing unequivocally that in an externally stressed material with equilibrium pores (i.e., pores nonexerting any stresses on the surrounding matrix), the aforementioned interactions are repulsive and (approximately) inversely proportional to the 4th power of the interpore distance.
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