“…From a modeling point of view, the presently existing numerical approaches can be grouped according to the nature of their particular self-healing mechanism into (1) chemical reaction-based models [ 12 , 31 , 32 , 33 , 34 ], for predicting carbonation, hydration, polymerization and precipitation phenomena; (2) transport phenomena-based models [ 35 , 36 ], in which the phases affecting the healing processes are transported through the concrete pore-structure network; and (3) fracture-based models, smeared [ 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 ] and discrete [ 47 , 48 , 49 , 50 , 51 , 52 , 53 ] crack approaches for predicting strength recoveries of self-healing systems.…”