Application of Three － Dimensional Finite Element Method Limit Equilibrium Method for Slope Stability Analysis

LI Hong － jun; SHAO Long － tan

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Journal of Railway Engineering Society ›› 2011, Vol. 28 ›› Issue (5) : 17-21.

Application of Three － Dimensional Finite Element Method Limit Equilibrium Method for Slope Stability Analysis

LI Hong － jun1，SHAO Long － tan2

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Abstract

Research purposes: As an extension of two － dimensional FEM limit equilibrium method，the three －dimensional FEM limit equilibrium method based on the concept of strength reduction and the unique sliding direction，is presented． The definition and physical meaning of factor of safety ( FOS) ，the relationship between FOS and unique sliding direction are clarified as well as the application in earth and rock slope． On the basis of mean value theorem of integrals，the FOS corresponding to sliding body of arbitrary shape is defined． The relationship between partial FOS and overall FOS can be demonstrated by the definition of factor of safety in this approach．

Research conclusions: ( 1) the factor of safety and critical sliding surface for soil and rock slopes calculated from the proposed approach are in good agreement with those from 3D rigid limit equilibrium method and 3D shear strength reduction method． ( 2) 3D problem shouldn＇t be modeled as a 2D one owing to obvious spatial effect when the axial length of slope is short，the factor of safety obtained by 2D method is conservative． However，the stability analysis for 3D problem can be approximated by a corresponding 2D problem when the axial length of slope reaches a certain value．

Key words

3D slope / stability analysis / factor of safety / unique sliding direction / finite element method

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LI Hong － jun, SHAO Long － tan. Application of Three － Dimensional Finite Element Method Limit Equilibrium Method for Slope Stability Analysis[J]. Journal of Railway Engineering Society, 2011, 28(5): 17-21

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