“…(2009)and Papuga (2011). Three categories of models are usually used: critical plane-based models (Carpinteri and Spagnoli, 2001; Carpinteri et al., 2003, 2014b; Papuga and Ruzicka, 2008; Shang et al., 2007; Shang and Wang, 1998; Susmel and Lazzarin, 2002; Zhang and Yao, 2011; Zhang et al., 2018), mesoscopic scale-based models (Brünig et al., 2011; Flaceliere et al., 2007; Eslami et al., 2016; Ju and Ko, 2008; Shariyat, 2010; Tay et al., 2008) and energy-based models (Ahmadzadeh and Varvani-Farahani, 2016; Chen et al., 1999; Zhu et al., 2012, 2017). Since the critical plane method has physical meaning, it is widely used in service.…”