By means of the self-defined artificial neural network(ANN)and its excellent function fitting func-tion,aimed at aggregate-mortar matrix 2-phase concrete,the analytical solutions of the highly nonlinear cou-pling differential equation of the differential method in the indirect homogenization theory were given,the func-tional relations between the volume modulus and the shear modulus of concrete and the volume fractions of ag-gregate were obtained respectively,and the results were compared with those of numerical simulation.The re-sults show that,the method based on the ANN is fast and has higher precision.In addition,the method of de-constructing ANN provides the formula of calculating the elastic modulus of aggregate-mortar matrix-pore 3-phase concrete directly from aggregate volume fractions and initial porosities under constant meso-mechanical parameters.For concrete samples with different aggregate volume fractions and initial porosities,the formula has higher calculation accuracy,and avoids the complex analysis and many assumptions of the traditional hom-ogenization method.The work provides a new idea of homogenization method for composite materials.
维普
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