Abstract: It is a practical and effective method to strengthen the slope using pre-stressed anchor cables. Complicated coupling effect exists between the anchorage force loss of anchor cable and creep of rock and soil. Two coupling models are established. The constitutive equations of the model and the formulas for the effective pre-stress are derived. Based on the pre-stress monitoring data in a practical engineering, the creep parameters of the slope are obtained by inverse analysis methods. The corresponding theoretical models are adopted after the division of the prediction stages. The comparison between theoretical calculation value and the actual monitoring value is used to verify the rationality and accuracy of the models. The results show that a single coupled model leads to an increase in prediction of error as time goes on. The curve of H-K model, which is made up of the elastic model and the generalized Kelvin model in parallel, declines quickly, so it is suitable for predicting the early pre-stress loss of anchor cable. H-2K model, elastomer parallel with generalized Kelvin body to consider the stress relaxation of anchor cable, can fit the late changes of anchor cable pre-stress better. Reasonable staged prediction can accurately evaluate the loss of anchor cable pre-stress, and thus to provide references for the prevention and treatment of landslides

Key words: pre-stressed cable, loss of anchorage force, creep, coupling effect, calculation model