Abstract: The smeared crack and plasticity damage models in general finite element program ABAQUS were detailed introduced, including the uniaxial stress-strain relationship, crack model, yield criterion, flow rules and hysteretic rules. Then comparison and analysis were made on the key factors of concrete constitutive models that have effect on the static mechanical behavior of structural members. The mechanical behavior of reinforced concrete members and steel-concrete composite members under monotonic and cyclic loadings were simulated using various concrete constitutive models, thusly the suitable model could be chosen when analyzing structural members according to the comparison results.