The computational simulating and analysis of reinforced concrete structures nonlinear behavior is subjected to reversed cyclic loading dependent on the modeling of nonlinear constitutive laws of materials. Nonlinear behavior of structural concrete includes cracking, crushing, tension stiffening, compression softening and bond slip where reversed cyclic loadings introduces further complexities, such as stiffness degradation in concrete and the Bauschinger effect in reinforcing steel. In this paper the reliability of presented constitutive models for concrete subjected to reversed cyclic loading that considers transition curve between compression and tension by using crack closing model is investigated. In the analysis of reinforced concrete structures, a number of diverse approaches have been used for material modeling. These include plasticity-based procedures, fracture mechanics procedures, and various nonlinear elastic models where this simulation is related to constitutive models based on elasticity approach. For these aims, by reviewing the results of experimental tests on concrete specimens under cyclic loading in both compression and tension, and by reviewing suggested constitutive models by various researchers especially important simple models, the accordance of these constitutive models with experimental results are investigated.