###### Abstract  
Assessing the damage level in concrete infrastructures over time is a critical issue to plan their timely maintenance with proper actions. Self-sensing concretes offer new opportunities for damage assessment by monitoring their electrical properties and relating their variations to damage levels. In this research, fatigue tests were conducted to study the response of a self-sensing concrete under high-cycle dynamic loading. The concept of G-value was defined as the slope of the voltage response baseline of the self-sensing concrete over time that reflects the damage created under the fatigue-loading test. Based on this definition, log (G)-log (N) curves were obtained using a linear regression approach, with N representing the number of cycles during the fatigue tests. While traditional fatigue curves S-log (N) are used to estimate the remaining life under fatigue loading, log (G)-log (N) diagrams can be used to determine the damage level based on the voltage response of the self-sensing concrete as a function of the loading history. This finding can be useful for the estimation of the lifetime and remaining life of self-sensing concrete structures and infrastructure, eventually helping to optimize the related maintenance operations. self-sensing concrete; fatigue; damage; remaining life; structural health monitoring Article  
Properties of Self-Sensing Cement-Based Materials  
[PERSON], [PERSON], [PERSON], G.  
major events. Major damage can be seen by visual inspection while minor occurrences are due to the degradation of the structural properties [20]. Under low-cycle fatigue loading, they found that the fractional change in resistance decreased. They attributed this decrease to a deterioration of the cement matrix separating adjacent fibers at their junction: this type of damage enhanced the chance for adjacent fibers to touch one another. This behavior qualifies the extent of damage in the regime of low damage [10, 20, 21, 22, 23, 24, 25]. [PERSON] and [PERSON] investigated the correlation of conductivity and damage in carbon-fiber-reinforced conductive concrete (CFRCC) under axial static loading and quasi-static cycle loading. They found that the real-time damage that is detected by ultrasonic technique and resistivity had a cubic polynomial correlation under the static load condition [19]. [PERSON] et al. mentioned that the resistivity measurement in multifunctional concrete was able to capture multiple discrete cracks and material degradation at the micro-level due to fatigue [26]. [PERSON] et al. tested CFRC specimens under dynamic compression and measured their strain and electrical response. The electrical resistance increased as the stress increased in each cycle. The resistance baseline increased significantly cycle by cycle and continued to increase after the stress level had reached its maximum. They believed that, at low-stress levels, the resistance baseline decreased irreversibly and gradually cycle by cycle [20]. The same effect was observed and reported by [PERSON] and [PERSON] [9] and was attributed to a damage mechanism affecting the cement matrix, with a consequent increased chance for adjacent fibers to touch one another. At high-stress levels, this effect is overshadowed by the damage-induced resistance increase, the occurrence of which causes the baseline resistance to increase irreversibly cycle by cycle as the stress level increases [20]. These two opposing baseline effects caused the baseline to have a positive, zero, or negative slope. Different studies mentioned that fatigue life and damage are strongly affected by matrix cracks [27, 28, 29], and a lot of them find relationships between crack propagation and electrical changes in self-sensing concrete [30]. Nevertheless, a few studies focused on finding the damage assessment model based on self-sensing ability [30, 31].