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

*(English)*Zbl 1049.74773Summary: 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.

##### MSC:

74S05 | Finite element methods applied to problems in solid mechanics |

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74L10 | Soil and rock mechanics |

##### Keywords:

anchor; slope stability; limit equilibrium method; finite element method; soil-structure interaction; interface element
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\textit{F. Cai} and \textit{K. Ugai}, Int. J. Numer. Anal. Methods Geomech. 27, No. 7, 549--564 (2003; Zbl 1049.74773)

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