Abstract: This paper presents two damage constitutive models,namely, the damage visco-elastic constitutive model and the coupledconstitutive model of damage and plasticity, to describe the impact behaviorof concrete. A comparison between the model prediction and theexperimental results shows that the damage visco-elastic constitutivemodel is not adequate to describe the plastic deformation inconcrete, with increase of impact velocity. The damageconstitutive model coupled with plasticity accounts for such effects asmodulus degradation due to micro-cracking, the increase of bulk modulus andplastic strain due to micro-voids collapse. Therefore, it describesvery well the impactbehavior of concrete subjected to shock loading.