Evaluation of elastic properties of fiber reinforced concrete with homogenization theory and finite element simulation

Abstract This paper aims to evaluate the elastic modulus and Poisson ratio of fiber reinforced concrete with homogenization theory and finite element simulation. A theoretical model for predicting the elastic modulus and Poisson ratio of fiber reinforced concrete was established by homogenization theory. Firstly, the elastic tensor matrix of unidirectional distribution fiber reinforced concrete composites was solved by the composite cylinder model and Ruess series model, and then the elastic tensor matrix of random distribution of fiber reinforced concrete composites was obtained based on the probability density function of fiber distribution. Finally, the elastic modulus and Poisson ratio of fiber reinforced concrete were obtained based on the elastic tensor matrix. In addition, according to the related parameters of experiment, the random distribution meso-model of fiber reinforced concrete was established using MATLAB software, and then the axial compression of fiber reinforced concrete was stimulated using Abaqus. The simulation values of elastic modulus and Poisson ratio of fiber reinforced concrete were obtained. By comparison, it was found that the homogenization theoretical predicted value, the finite element simulation value and the macroscopic experiment value were in good agreement, which verified the accuracy of the homogenization theoretical model and the finite element model.