Reinforcing mechanism of anchors in slopes: a numerical comparison of results of LEM and FEM

This paper reports the limitation of the conventional Bishop's simplified method to calculate the safety factor of slopes stabilized with anchors, and proposes a new approach to considering the reinforcing effect of anchors on the safety factor. The reinforcing effect of anchors can be explained using an additional shearing resistance on the slip surface. A three-dimensional shear strength reduction finite element method (SSRFEM), where soil–anchor interactions were simulated by three-dimensional zero-thickness elasto-plastic interface elements, was used to calculate the safety factor of slopes stabilized with anchors to verify the reinforcing mechanism of anchors. The results of SSRFEM were compared with those of the conventional and proposed approaches for Bishop's simplified method for various orientations, positions, and spacings of anchors, and shear strengths of soil–grouted body interfaces. For the safety factor, the proposed approach compared better with SSRFEM than the conventional approach. The additional shearing resistance can explain the influence of the orientation, position, and spacing of anchors, and the shear strength of soil–grouted body interfaces on the safety factor of slopes stabilized with anchors. Copyright © 2003 John Wiley & Sons, Ltd.

[1]  E. Bromhead STABILITY OF SLOPES , 1986 .

[2]  R. A. Jewell,et al.  Direct shear tests on reinforced sand , 1987 .

[3]  Dov Leshchinsky,et al.  THREE-DIMENSIONAL LIMIT EQUILIBRIUM AND FINITE ELEMENT ANALYSES : A COMPARISON OF RESULTS , 1995 .

[4]  Tamotsu Matsui,et al.  Finite element slope stability analysis by shear strength reduction technique , 1992 .

[5]  F. Cai,et al.  NUMERICAL ANALYSIS OF THE STABILITY OF A SLOPE REINFORCED WITH PILES , 2000 .

[6]  Keizo Ugai,et al.  EFFECTS OF HORIZONTAL DRAINS ON SLOPE STABILITY UNDER RAINFALL BY THREE-DIMENSIONAL FINITE ELEMENT ANALYSIS , 1998 .

[7]  D. V. Griffiths,et al.  SLOPE STABILITY ANALYSIS BY FINITE ELEMENTS , 1999 .

[8]  G W Clough,et al.  Performance of Tied-Back Walls in Clay , 1974 .

[9]  N. J. O'Riordan,et al.  A COMPUTER MODEL FOR THE ANALYSIS OF GROUND MOVEMENTS IN LONDON CLAY , 1979 .

[10]  K. Ugai,et al.  A Method of Calculation of Total Safety Factor of Slope by Elasto-Plastic FEM , 1989 .

[11]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[12]  Hiroyuki Nakamura,et al.  Decision of initial anchor force for prestressed anchor , 1992 .

[13]  C. S. Desai,et al.  Interaction Analysis of Anchor-Soil Systems , 1986 .

[14]  Young-Kyo Seo,et al.  Limit state analysis of earthen slopes using dual continuum/FEM approaches , 1999 .

[15]  R. Lewis,et al.  Associated and non-associated visco-plasticity and plasticity in soil mechanics , 1975 .

[16]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[17]  Jean-Louis Briaud,et al.  Tieback walls in sand : Numerical simulation and design implications , 1999 .

[18]  Roman D. Hryciw Anchor Design for Slope Stabilization by Surface Loading , 1991 .

[19]  A. Bishop The use of the Slip Circle in the Stability Analysis of Slopes , 1955 .