Slope Stability Analysis Based on the Numerical Manifold Method and the Graph Theory-Case Study Evaluation
- PDF / 1,640,774 Bytes
- 12 Pages / 547.087 x 737.008 pts Page_size
- 9 Downloads / 241 Views
(0123456789().,-volV) ( 01234567 89().,-volV)
ORIGINAL PAPER
Slope Stability Analysis Based on the Numerical Manifold Method and the Graph Theory-Case Study Evaluation Saeed Ghaffarpour Jahromi . Fatemeh Bodaghi
Received: 26 October 2017 / Accepted: 21 May 2020 Ó Springer Nature Switzerland AG 2020
Abstract Contemporary major methods among the most common and traditional methods for soil and rock slope stability analysis are the limit equilibrium method and the strength reduction methods. Both methods are based on the limit equilibrium conditions. However, the limit equilibrium methods are limited to the stiff body assumption, while the strength reduction method has expansive calculations and simulation progresses. In this study, a search algorithm is proposed to access the critical slip surface and safety factor. The numerical manifold method, which based on existing stress, is used to analysis and obtain the stress distribution of soil and rock slopes cut by joints. Based on the stress results obtained, a graph theory is used to convert the solution of the critical slip surface to a shortest path problem, which can be directly solved by the Bellman–Ford algorithm. This method can completely remove the rigid body assumptions in the limit equilibrium method and reduce computations which existing in the strength reduction methods. Keywords Rock and soil slope Stability analysis Numerical manifold method Graph theory
S. Ghaffarpour Jahromi (&) F. Bodaghi Department of Civil Eng., Shahid Rajaee Teacher Training University, Tehran, Iran e-mail: [email protected]
1 Introduction: Many methods have been proposed to analyze the stability of soil and rock slopes that have been studied by Fellenius, Abramson et al., Cheng et al., Duncan and Wright (Fellenius 1936; Duncan and Wright 2005; Cheng and Lau 2014). In these methods, the volume of sliding materials is divided into a finite number of rigid substances. Among these methods, the limit equilibrium methods are the most commonly used due to their simple. Different assumption in association with equilibrium conditions and the inter-section forces are considered to convert slope stability problem to statically determinate. The limit equilibrium method includes known methods such as Bishop, Morgenstern-Price, Janbu and Sarma. Particularly and Sarma method that widely used in rock slope analysis (Bishop 1955; Morgenstern and Price 1965; Janbu 1968; Sarma 1973; Florkiewicz and Kubzdela 2013). During the past three decades, many researchers such as Chen and Morgenstern, Lam and Fredlund and Zhu et al. tried to develop limited equilibrium methods in an analytical model. The Limit Equilibrium Methods have precise theoretical inference which can provide the critical slip surface. However, they are limited by the rigid body supposition and do not discuss the fundamental models describing the stress–strain relation in the geo material; Hence, the loading path cannot be simulated (Chen and Morgenstern 1983; Zhu et al. 2003; Kalatehjari and Nazri 2013). To overcome the
Data Loading...
