4.4 Article

Modified Double-Reduction Method considering Strain Softening and Equivalent Influence Angle

Journal

KSCE JOURNAL OF CIVIL ENGINEERING
Volume 24, Issue 11, Pages 3257-3266

Publisher

KOREAN SOCIETY OF CIVIL ENGINEERS-KSCE
DOI: 10.1007/s12205-020-0547-7

Keywords

Linear softening model; Stability contribution; Equivalent influence angle; Contribution scaling factor; Double-reduction method

Funding

  1. National Natural Science Foundation of China [51774107, 51774322, 51774131]
  2. Hunan Provincial Natural Science Foundation of China [2018JJ2500]
  3. [2019zzts303]

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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 phi 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 phi are described by adopting different slopes in linear softening model for c and tan phi, in which case the respective reduction factors in strength reduction methodF(c)andF(phi)are solved. 2) The distinct slope stability contributions of c and phi is readily linked with the different influences to safety factor, and therefore, introducing the equivalent influence angle theta(e)(defined as the slope angle at whichcand phi share identical contributions to stability), as well as its determination method. 3) According to weighted average hypothesis that the overall safety factorF(s)is the weighted average ofF(c)andF(phi), the contribution scaling factor mu(defined as the weighted ratio ofF(c)andF(phi)is proposed, which promotes the solution of respective weighted coefficientsw(c)andw(phi)of two reduction factors by combining theta(e), achieving a new double-reduction method. 4) The validity of this method is verified via comprehensive comparison with existing double-reduction methods of practical slope examples.

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