Nonlinear Strength Reduction Method of Rock Mass in Slope Stability Evaluation

Abstract

As the strength parameters of rock mass degrade differently during slope instability, different factors should be considered in the strength reduction method. Previous nonlinear reduction methods were essentially implemented based on the Mohr–Coulomb criterion, which was reported not to reflect the nonlinear performance of rock mass. To address this deficiency, in this study, the Hoek–Brown criterion was combined with a nonlinear reduction technique for slope stability evaluation. Firstly, based on the classical definition of safety factors, the relationships that should be satisfied by each parameter of the critical slope were derived. The critical curve of the slope regarding the Hoek–Brown constant mb and the uniaxial compressive strength of rock mass σcmass was then obtained. On the assumption that the slope parameter deterioration conforms to the shortest path theory, the reduction ratio of σcmass to mb was determined. The more objective k-means algorithm was employed to automatically search the potential sliding surface, on which the slope safety factor was calculated as the ratio of sliding resistance to sliding force. Finally, the slopes in published literature were adopted for verification, and the calculated safety factors were compared with those by other methods, which showed better efficacy.

Study of Slope Stability Using the Bishop Slice Method: An Approach Combining Analytical and Numerical Analyses

“…To carry out our study on slope stability, we chose to use the Limit Equilibrium Method, which is considered reliable and easy to use by many engineers [25] [26] The limiting equilibrium method is the traditional method used to determine the stability of slopes [27], LEM method is more often used by Engineers because they are more familiar than the FEM method [28]. Currently, both the limit equilibrium method and the strength reduction method are commonly used in slope stability calculations [29].…”

Stability analysis and support scheme design of the landslide behind Yang Erping's house in Zuopo Village

“…We choose the important model parameters based on the outcomes of the rock and soil mass's indoor and outdoor tests. The stability of the landslide behind Yang Erpingfang, Zuopo Village, Luluo Town, Xingtai County, was calculated using the finite element method [2] and the strength reduction method [3][4][5][6][7][8][9][10] with the aid of the MIDAS GTS software. Multi-angle analysis was carried out, and the best support strategy was suggested.…”

Stability Analysis and Design of Support Scheme for a Medium-sized Landslide on the South Slope of Xijiushui Village

“…The medium-sized landslide in the south slope of Xijiushui Village, Bai'an Township, Xingtai County is used as a prototype in this paper, which then uses MIDAS GTS NX (a professional geotechnical finite element calculation software) to examine its stability [3][4][5] , examine how the landslide changes as a result of various factors, and propose an appropriate and reasonable support plan.…”