Modified Double-Reduction Method considering Strain Softening and Equivalent Influence Angle
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pISSN 1226-7988, eISSN 1976-3808 www.springer.com/12205
DOI 10.1007/s12205-020-0547-7
Geotechnical Engineering
Modified Double-Reduction Method considering Strain Softening and Equivalent Influence Angle Yifan Chena, Hang Lin
a
, Yixian Wang
, Rihong Caoa, Chunyang Zhangc, and Yanlin Zhaod
b
a
School of Resources and Safety Engineering, Central South University, Changsha 410083, China School of Civil Engineering, Hefei University of Technology, Hefei 230009, China c School of Resources and Environment Engineering, Wuhan University of Technology, Wuhan 430070, China d School of Energy and Safety Engineering, Hunan University of Science and Technology, Xiangtan 411201, China b
ARTICLE HISTORY
ABSTRACT
Received 25 March 2020 Revised 4 June 2020 Accepted 2 July 2020 Published Online 10 September 2020
Slope stability has been the research focus in the field of geotechnical engineering. Both the asynchronous decay speeds and distinct stability contributions of cohesion c and friction ϕ during slope instability have been evidenced. In this study, based on linear softening model and weighted average hypothesis, a modified double-reduction method is established. The research includes: 1) the asynchronism between decay speeds of c and ϕ are described by adopting different slopes in linear softening model for c and tanϕ, in which case the respective reduction factors in strength reduction method Fc and Fϕ are solved. 2) The distinct slope stability contributions of c and ϕ is readily linked with the different influences to safety factor, and therefore, introducing the equivalent influence angle θe (defined as the slope angle at which c and ϕ share identical contributions to stability), as well as its determination method. 3) According to weighted average hypothesis that the overall safety factor FS is the weighted average of Fc and Fϕ, the contribution scaling factor μ (defined as the weighted ratio of Fc and Fϕ is proposed, which promotes the solution of respective weighted coefficients wc and wϕ of two reduction factors by combining θe, achieving a new double-reduction method. 4) The validity of this method is verified via comprehensive comparison with existing doublereduction methods of practical slope examples.
KEYWORDS Linear softening model Stability contribution Equivalent influence angle Contribution scaling factor Double-reduction method
1. Introduction Known as a mountainous country with developed construction industry, both natural and artificial slopes are ubiquitous in China, especially in tunnels, mines, dams, highways and other engineering, which is closely related to our daily life. Consequently, slope stability is of great significance to guarantee the safety of life and property, and inevitably, becoming the focus of concern for experts and engineers. In most cases, the safety factor of slope is adopted to quantify its stability state. To quickly access slope safety factor, strength reduction technique SRM has been appropriately proposed with the tide of computer revolution. In the process of
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