“…Micromechanics-informed damage models permit taking the stochastics on the microscale into account naturally, e. g., for progressive fiber breakage in fiber-reinforced composites (Ju and Wu, 2016; Wu and Ju, 2017), interfacial transition-zone effects (Chen et al., 2018), uncertainty in the elastic moduli of fiber-reinforced concrete (Liu et al., 2020), localized microcracks (Li et al., 2020) or random loading in fatigue processes (Franko et al., 2017). Another advantage concerns modeling the unilateral character of brittle damage, i. e., a different damaging behavior under tension compared to compression (Goidescu et al., 2015; Zhang et al., 2019), and accounting for interface debonding (Pupurs and Varna, 2017; Schemmann et al., 2018b; Yang et al., 2020). However, care has to be taken as homogenization and localization are incompatible (Gitman et al., 2007), in general, i.e., upon localization, the volume elements considered will not be representative for the effective mechanical behavior (Drugan and Willis, 1996; Hill, 1963; Kanit et al., 2003).…”