Analytical solutions to assess the stability of rock slopes subject to cracks via limit analysis

Based on the kinematic approach of limit analysis, a full set of upper bound solutions for the stability of homogeneous rock slopes subjected to cracks are obtained. The generalized Hoek-Brown failure criterion is adopted to describe the non-linear strength envelope of rocks. In this paper, critical...

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Bibliographic Details
Published inIOP conference series. Earth and environmental science Vol. 26; no. 1; pp. 12057 - 12067
Main Author Wu, W
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.01.2015
Subjects
Charts
Cracks
Exact solutions
Failure mechanisms
Kinematics
Limit analysis
Mathematical analysis
Rock
Rocks
Slope stability
Slopes
Stability
Stability analysis
Tables
Upper bounds
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ISSN1755-1307
1755-1315
1755-1315
DOI10.1088/1755-1315/26/1/012057

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Summary:Based on the kinematic approach of limit analysis, a full set of upper bound solutions for the stability of homogeneous rock slopes subjected to cracks are obtained. The generalized Hoek-Brown failure criterion is adopted to describe the non-linear strength envelope of rocks. In this paper, critical failure mechanisms are determined for cracks of known depth but unspecified location, cracks of known location but unknown depth, and cracks of unspecified location and depth. It is shown that there is a nearly up to 50% drop in terms of the stability factors for rock slopes intersected by cracks compared with intact ones. Tables and charts of solutions in dimensionless forms are presented for ease of use by practitioners.
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ISSN:1755-1307
1755-1315
1755-1315
DOI:10.1088/1755-1315/26/1/012057