Analysis on horizontal bearing capacity based on catastrophe theory of anti-slide micropiles

The destruction of the micro piles belongs to the scope of the catastrophe theory under the horizontal force of the landslide. In this study, the function of the landslide thrust to the micro piles is treated as the gathering process of the elastic energy. In the process of bending and deformation of the micro pile, when the energy accumulates to a certain threshold, the instability will be occurred in the micro piles. Firstly, the cusp catastrophe theory will be applied to the landslide reinforcement micro pile buckling critical load of damage in the study. We establish the micro pile at the top free and the bottom build-in cases, which is the micro pile buckling nonlinear cusp catastrophic model in line with the engineering characteristics. Moreover, we also introduce micro pile instability energy potential function and the bifurcation set equation, in this way, the micro pile limit bearing capacity formula is obtained. In the landslide using the micro pile to reinforcement, the anti-sliding experiment is conducted. We compare the results of the cusp catastrophe theory and the results of the validation. The results show that the catastrophe theory to study the level of the micro anti-slide pile bearing force is feasible, which has a certain engineering value. © 2015 CAFET-INNOVA TECHNICAL SOCIETY. All rights reserved.