Constitutive model for concrete under biaxial tension-compression stresses based on statistical damage theory

The statistical damage constitutive model for concrete under biaxial tensile and compressive stresses was proposed, based on the statistical damage theory and the experimental phenomena. It considered two meso-scale damage modes, rupture and yield. The evolution process of damage was driven by the principal tensile and compressive strains. The damage evolution process of concrete under complex stress state was considered as the combination of uniaxial tension and uniaxial compression, which were regarded as the two most fundamental failure forms. The equivalent relations of micromechanical damage mechanisms corresponding to the macroscopic tensile and compressive failure modes were established, by introducing the concepts of equivalent transfer tensile damage strain and the damage influence parameter. The results show that it can accurately predict the constitutive behavior in the uniform damage phase for concrete under biaxial tension and compression. The damage mechanism was discussed from the view points of biaxial strength, deformation properties and the failure form. © 2015, Editorial Board of Journal of Basic Science and Engineering. All right reserved.