The modified Xiyuan model and its stability analysis

Abstract：In order to describe the accelerated creep property of the rock, the modified Xiyuan model has been established by using the non_linear N element to replace the linear one. Then its constitutive equation is derived. In the local scope, non_linear creep question is transferred into linear one, and the stability condition of the modified model is obtained. With analysis of the control variables of the creep deformation, the creep speed and the creep acceleration, the modified Xiyuan model can be used to better describe the three stages of rock sample creep, especially the non_linear accelerating creep stage.

Keyword：rheological model;stability;control variable;cre;