Abstract
When the finite element-strength reduction method is used for two-dimensional slope stability analysis for elastic-perfectly plastic material, the failure criterion usually adopts the criterion of plastic zone penetration. That is, when the slope is in the limit equilibrium state, the plastic zone goes through the slope from the toe to the top. Meanwhile, the critical slip surface is composed of a series of points of maximum equivalent plastic strain along the depth direction. By deploying a set of parallel lines approximately perpendicular to the slope surface and picking out the points of these lines with the maximum equivalent strain points, we obtain a series of points taking on a wave shape, which constitutes a signal function. Subsequently, the wavelet packet analysis is used to smooth these points, i.e., locating the critical slip surface. The analysis of classic examples and comparison with Spencer’s method show that the proposed method in this paper is reasonable and effective.
Highlights
The finite element method is the most widely used method for slope stability analysis (SSA)
Griffiths et al systematically summarized the advantages of the finite element method–strength reduction method compared with limit equilibrium methods (LEM) [9] in SSA; more detail can be found in [10]
Mallat first proposed a multi-resolution analysis (MRA) and presented a fast algorithm based on wavelet transformation and reconstruction, named the Mallat algorithm
Summary
The finite element method is the most widely used method for slope stability analysis (SSA). As Duncan [3] pointed out, the FOS is the factor that continuously reduces the soil shear strength to bring the slope to the verge of failure This method, which brings slope into a limit equilibrium state (LES) by reducing the shear strength of the soil, is called the strength reduction method (SRM), was first used in SSA by Zienkiewicz et al [4], and has been studied by Naylor [5], Wong [6], Donald et al [7], Matsui et al [8], Duncan, and others. There are two crucial issues in the SSA: calculation of the FOS and location of the critical slip surface (CSS). Three numerical examples including a homogeneous slope, a slope containing a weak intercalated layer, and a soil–rock mixture slope are employed to validate the proposed method
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
