Abstract:A homogenization-based method for predicting the visco-elastic property of undirectionally jointed rock is presented,and the explicit formulae for predicting the visco-elastic relaxation modulus are obtained. After Laplace transforming the governing equation of the visco-elastic problem of jointed rock,the dependent relation of the Laplace transformation of the effective relaxation modulus of jointed rock with the joint form is derived by applying the homogenization method in phase space. Then,the effective relaxation modulus is obtained from the inverse transformation. Numerical example is presented in the end of this paper.