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.

1. Introduction

Micro pile, also called as the root pile, was proposed by Lizzi (Andrew ZB, 2006) in Italy in 1950s. Furthermore, the hole bored pile with a small diameter are firstly developed and utilized by Fonddile (Juran H.et al., 1996) company. The diameter is generally 10 ~ 30 cm and the length/diameter ratio is more than 30. Moreover, the pile is composed by the reinforcement materials and the cement mortar grouted by the pressure or the small stone concrete. As a new type of supporting technology, the micro pile has experienced with the rapid development and the wide application in the engineering practice, which is mainly applied in the embankment engineering, deep foundation, wharf, anti-seismic reinforcement of the buildings and the landslide treatment etc. (S. Isam.et al., 2012; J.D. Nelson et al., 2012; M. Esmaeili et al., 2013; Yan J. K. et al., 2011; Liu H. et al., 2013).

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