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.

中文翻译：

---

基于随机微观力学的电化学沉积法非饱和混凝土损伤愈合研究

（微）裂缝或（微）空隙会导致混凝土材料的损坏。提出了一种随机微机械框架，用电化学沉积方法研究不饱和混凝土的损伤愈合。基于材料的随机微观结构呈现随机微机械表示。提出了基于差分方案的多级均化程序来定量预测修复后的混凝土的有效性能。概率密度函数是通过有效的随机模拟框架获得的材料有效特性的概率密度函数，该框架由多元函数的单变量近似、牛顿插值和蒙特卡罗模拟组成。数值例子被用来验证所提出的随机微机械框架，这表明所提出的框架在计算上是有效的，并且能够描述考虑到材料固有随机性的不饱和混凝土的电化学沉积方法愈合过程。最后，在提出的模型的基础上讨论了饱和度和等效纵横比对修复后混凝土概率行为的影响。