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Slope stability analysis based on elasto‐plastic finite element method
Author(s) -
Zheng H.,
Liu D. F.,
Li C. G.
Publication year - 2005
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1406
Subject(s) - finite element method , mathematics , convergence (economics) , stability (learning theory) , predictor–corrector method , plane stress , variational inequality , computation , slope stability analysis , ordinary differential equation , shakedown , slope stability , plane (geometry) , mathematical analysis , geometry , differential equation , structural engineering , computer science , engineering , geotechnical engineering , algorithm , machine learning , economics , economic growth
The paper deals with two essential and related closely processes involved in the finite element slope stability analysis in two‐dimensional problems, i.e. computation of the factors of safety (FOS) and location of the critical slide surfaces. A so‐called ϕ – v inequality, sin ϕ ⩾1 – 2 v is proved for any elasto‐plastic material satisfying Mohr–Coulomb's yield criterion. In order to obtain an FOS of high precision with less calculation and a proper distribution of plastic zones in the critical equilibrium state, it is stated that the Poisson's ratio v should be adjusted according to the principle that the ϕ – v inequality always holds as reducing the strength parameters c and ϕ . While locating the critical slide surface represented by the critical slide line (CSL) under the plane strain condition, an initial value problem of a system of ordinary differential equations defining the CSL is formulated. A robust numerical solution for the initial value problem based on the predictor–corrector method is given in conjunction with the necessary and sufficient condition ensuring the convergence of solution. A simple example, the kinematic solution of which is available, and a challenging example from a hydraulic project in construction are analysed to demonstrate the effectiveness of the proposed procedures. Copyright © 2005 John Wiley & Sons, Ltd.