A Stochastic Micromechanical Framework for Saturated Concrete Repaired by Electrochemical Deposition Method

Abstract

A stochastic micromechanical framework is presented to predict the probabilistic behavior of saturated concrete repaired by the electrochemical deposition method (EDM). The repaired concrete is represented as a multiphase composite composed of the intrinsic concrete, water and deposition products. Multi-level homogenization schemes are presented to predict the properties of the repaired concrete. The equivalent inclusion is reached by homogenization of the two-phase composite composed of the deposition products and the water. The equivalent composite of the repaired concrete is attained by the homogenization of the two-phase composited made up of the equivalent inclusion and the intrinsic concrete. By modeling the volume fractions and the properties of constituents as stochastic, the deterministic framework is extended to stochastic to incorporate the inherent randomness of the effective properties among the different specimens. Through the Monte Carlo simulations, the probabilistic behaviors are obtained, such as the mean, the different order moments and the probability density functions. Numerical examples including deterministic and stochastic micromechanical validations indicate that the proposed models are capable of providing an accurate framework in characterizing the effective properties of the concrete repaired by the EDM.