Stochastic micromechanics-based investigations for the damage healing of unsaturated concrete using electrochemical deposition method

Abstract

The (micro-) cracks or (micro-) voids will lead to the damage of concrete material. A stochastic micromechanical framework is proposed to investigate the damage healing of the unsaturated concrete with the electrochemical deposition method. Stochastic micromechanical representations are presented based on the material’s random microstructures. Differential scheme-based multilevel homogenization procedures are proposed to quantitatively predict the effective properties of the repaired concrete. The probability density functions are obtained for the material’s effective properties with an efficient stochastic simulation framework, which is composed of the univariate approximation for the multivariate function, Newton interpolations and Monte Carlo simulations. Numerical examples are employed to verify the proposed stochastic micromechanical framework, which indicates that the presented framework is computationally efficient and capable of describing the electrochemical deposition method healing process for the unsaturated concrete considering the material’s inherent randomness. Finally, the influences of the saturation degrees and the equivalent aspect ratios on the probabilistic behavior of the repaired concrete are discussed on the basis of the proposed models.

A chemo-micromechanical damage model of concrete under sulfate attack

“…Liao et al (2020) recorded the constitutive relationship of sulfateattacked concrete. The stress-induced microcracks were interpreted by damage variables based on the continuum damage mechanics (Bru¨nig and Michalski, 2020;Chen et al, 2020aChen et al, , 2020bJu, 1989Ju, , 1990Liu et al, 2020;Oucif et al, 2019;Ju, 1987a, 1987b;Tixier and Mobasher, 2003;Zhou and Ju, 2019;Zhou et al, 2016Zhou et al, , 2017Zhu et al, 2016), which has been widely adopted as the basis of other damage models (Chen et al, 2021;Fan et al, 2020;Liu et al, 2019;Sochu et al, 2018;Yan et al, 2019;Zhang et al, 2019Zhang et al, , 2020. In this context, the constitutive response of the progressively damaged material is simulated by a constitutive law of uniaxial stress-strain, which links the local strain with the damage.…”

A numerical chemo-micromechanical damage model of sulfate attack in cementitious materials

“…The expansion of particles brings about local stress. The stress-induced microcracks can be interpreted by damage variables based on the continuum damage mechanics (Bruenig and Michalski, 2020; Chen et al., 2020a, 2020b, 2020c; Fan et al., 2020; Ju, 1989, 1990; Liu et al., 2019b, 2020; Oucif et al., 2019; Simo and Ju, 1987a, 1987b; Sochu et al., 2018; Zhou et al., 2016, 2017; Zhou and Ju, 2020; Zhu et al., 2016). Here, the damage state of cementitious materials is related to the number of bonds in the DEM model (Zhou et al., 2017).…”

Constitutive modelling of a self-healing composite matrix polymer material

“…On the other hand, (Sanz-Herrera et al., 2019) introduced a coupled-mechano-chemical-diffusive model where healing is a result of two chemical reactions. Moreover, in (Chen et al., 2021) and (Chen et al., 2020) multiscale healing constitutive models for cementitious materials are presented. In addition, in (Siroky et al., 2021) a constitutive model for solder alloys, where the healing phenomenon is dependant on hydrostatic pressure, liquid viscosity and surface tension is presented.…”