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Monte Carlo method for computing the mechanical properties of porous media

Abstract:

This research reports the design of a method for computing the elasticity modulus (E) of a known geometry porous medium. The porous medium is simulated as an elastic network of central forces, to which a known deformation is applied. The minimum deformation energy is calculated applying the Monte Carlo Method. E is obtained from theoretical relations between the deformation energy of a system and its deformation. The method is validated by applying to a known analytical solution. The porous media model used in 2 dimensions is Random Sequential Aggregation (RSA). As for the range of concentrations studied for the RSA system, it was found that the elasticity modulus E decreases as the porosity of the system increases. Our method is able to differentiate the variations in the structures of different porous media.(In Spanish).