The electrochemical deposition method is a promising approach to repair the deteriorated concrete in the aqueous environment. In this paper, a continuum damage-healing framework is presented for the electrochemical deposition method based on the multi-field coupling growth process of the electrochemical deposition products. The ion transportation and the electrode reactions are characterized by employing the Nernst-Planck equation and the current conservation equation. The level set method is adopted to capture the growth of the deposition products. Based on the deposition process, a new empirical healing law is presented, with which a new continuum damage-healing framework is presented for electrochemical deposition method. Numerical examples are conducted by applying the presented framework to the damaged cementitious composite under the tensile loadings. The presented framework is compared with the classic continuum damage-healing theory and the experimental data. The results show that the presented models can describe the electrochemical deposition method induced damage-healing for the cementitious composite. Furthermore, the effects of the healing time, the solution concentration and the external voltage on the damage-healing behaviors are investigated based on our proposed framework.

电化学沉积方法是在水性环境中修复劣化的混凝土的有前途的方法。本文基于电化学沉积产物的多场耦合生长过程，提出了一种连续的损伤修复框架。通过采用能斯特-普朗克方程和电流守恒方程来表征离子传输和电极反应。采用水平设定方法来捕获沉积产物的生长。在沉积过程的基础上，提出了一种新的经验愈合规律，为电化学沉积方法提出了一种新的连续损伤修复框架。通过将提出的框架应用于拉伸荷载作用下的受损水泥基复合材料，进行了数值算例。将提出的框架与经典的连续损伤修复理论和实验数据进行了比较。结果表明，所提出的模型可以描述电化学沉积方法对水泥基复合材料的损伤修复。此外，基于我们提出的框架，研究了愈合时间，溶液浓度和外部电压对损伤修复行为的影响。