“…Furthermore, the history variable governing the evolution of damage is usually related to a scalar measure of local deformation via the loading criterion function. It is also noteworthy that there are various definitions available in the literature for the consideration of local measure of deformation [29,36], which can be determined by using damage equivalent strains in terms of either principal stresses [9] or principal strains [27,28], damage energy release rate [10,42], effective stress [26], equivalent effective stress [14] and inelastic strains [7] or sometimes inelastic multipliers [11]. Similarly, there are also different alternatives to express the damage equivalent strain, namely Mazars criterion [28], modified von Mises strain [13,36], and two separate expressions, for cracking and crushing, respectively [27].…”