“…Note that this work only focuses on the damage and AE responses of the concrete materials (i.e., the representative volume elements (RVEs)) due to the sophisticated behaviors under fatigue loading, although a number of works have been contributed by researchers concerning that of reinforced concrete structures. Considering that the materials' behaviors are essential for further analysis of the mechanical behaviors of structures, a great number of studies have been already conducted in the literature [14,15,17,19,28,29,31,42,43]. In addition, the damages of concrete structures subjected to mode-I, mode-II, and mixing mode loading were classified by using AE [3].…”