Abstract:The importance of study on constitutive model of statically loaded rock under dynamic loading is expounded,and the methods of dynamic constitutive model are classified according to the current studying. By way of combining statistic damage model and viscoelastic model,uniaxial and triaxial constitutive models of statically loaded rock under dynamic loading(coupled static-dynamic constitutive model) with intermediate strain rate are established. The verification experiment on 1D coupled static-dynamic constitutive model under different static loadings is designed and performed. It is found that there is a good agreement between experimental stress-strain curves and theoretical stress-strain curves. The 3D theoretical stress-strain curves under different strain rates are verified by test data.