In slope stability analysis, various limit equilibrium methods are applied, e.g., Fellenius' method, Bishop's method, Janbu's method, Kenney's method, the Morgenstern-Price method, Madej's method, and others. All these methods are generally called "methods of slices." The safety factor is obtained from the conditions of a global equilibrium of forces acting on the vertical rigid slices. Thus, the methods are similar to the limit analysis method, which is based on the static equilibrium of the field of forces being associated with the failure mechanism. However, application of the slices methods requires various additional assumptions concerning the force distribution on interfaces of slices, since the stability problems are statically indeterminate. The application of the upper bound theorem to the determination of the safety factor is examined in this paper. The upper bound of the safety factor is compared with those obtained by conventional limit equilibrium methods. The accuracy of limit equilibrium methods is also estimated. (Author)

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  • Accession Number: 00330615
  • Record Type: Publication
  • Report/Paper Numbers: ASCE 16044
  • Files: TRIS
  • Created Date: Oct 28 1981 12:00AM