“…Initially, as per the fitting results from independent studies concerning the stress-strain relation of plain concrete, many practical models in the form of pure mathematical expression were proposed (Feng et al., 2020; Li et al., 1996; Moradi et al., 2020; Sima et al., 2008). On that basis, some more sophisticated empirical models were established subsequently to account for the effects of concrete strength (normal strength, high strength, and ultra-high strength), loading rate (static loading, dynamic loading, and impact loading), and loading path (uniaxial monotonic/cyclic loading, multiaxial loading) (Breccolotti et al., 2015; Karpenko et al., 2015; Xu and Wen, 2016). Under specific conditions, these models can describe the stress-strain behaviors with high accuracy, although the involved physical mechanisms are not very sufficient (Moradi et al., 2020; Yang et al., 2019).…”