“…Similar work includes Feng et al (2018) and Palermo and Trombetti (2016). Note that damage mechanics have also been widely applied to the modeling of concrete materials under static (Chen et al, 2018;Jin et al, 2018a;Li and Wu, 2018;Suchorzewski et al, 2018;Vorobiev et al, 2018), fatigue (Ding and Li, 2018), and dynamic (Hu et al, 2018;Jin et al, 2018bJin et al, , 2018cYang et al, 2019) loadings as well as harsh environments (Dong et al, 2018;Luo et al, 2018). The remainder of the paper is structured as follows.…”