2016•International Journal of GeomechanicsOpen access

Slope-Stability Assessments Using Finite-Element Limit-Analysis Methods

K. Lim, A. J. Li, Alexander Uwe Schmid, Andrei V. Lyamin

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Abstract

This paper utilizes finite-element limit-analysis methods to investigate the stability of slopes of various properties and in nature. Specifically, a slope with a soft (weak material) band, a postquake slope, and rock slopes were investigated. The conventional Mohr-Coulomb failure criterion and the Hoek-Brown failure criterion are utilized for soil and rock slopes, respectively. The Hoek-Brown failure criterion can be applied directly in the finite-element limit-analysis methods without the need for conversion to the equivalent Mohr-Coulomb parameters. The applicability of the numerical limit-analysis methods in both soil and rock slopes is clearly demonstrated. It is also significant to note that the results presented in this paper have two distinct solutions: the upper- and lower-bound solutions. In addition, the failure mechanisms of the slopes are also shown. Prior assumptions of the failure mechanisms are not required for these finite-element limit-analysis methods, therefore providing a more realistic understanding of slope failures.

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What this paper is about

This paper utilizes finite-element limit-analysis methods to investigate the stability of slopes of various properties and in nature. Specifically, a slope with a soft (weak material) band, a postquake slope, and rock slopes were investigated. The conventional Mohr-Coulomb failure criterion and the Hoek-Brown failure criterion are utilized for soil and rock slopes, respectively. The Hoek-Brown failure criterion can be applied directly in the finite-element limit-analysis methods without the need for conversion to the equivalent Mohr-Coulomb parameters. The applicability of the numerical limit-analysis methods in both soil and rock slopes is clearly demonstrated. It is also significant to note that the results presented in this paper have two distinct solutions: the upper- and lower-bound solutions. In addition, the failure mechanisms of the slopes are also shown. Prior assumptions of the failure mechanisms are not required for these finite-element limit-analysis methods, therefore providing a more realistic understanding of slope failures.

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Available abstract

This paper utilizes finite-element limit-analysis methods to investigate the stability of slopes of various properties and in nature. Specifically, a slope with a soft (weak material) band, a postquake slope, and rock slopes were investigated. The conventional Mohr-Coulomb failure criterion and the Hoek-Brown failure criterion are utilized for soil and rock slopes, respectively. The Hoek-Brown failure criterion can be applied directly in the finite-element limit-analysis methods without the need for conversion to the equivalent Mohr-Coulomb parameters. The applicability of the numerical limit-analysis methods in both soil and rock slopes is clearly demonstrated. It is also significant to note that the results presented in this paper have two distinct solutions: the upper- and lower-bound solutions. In addition, the failure mechanisms of the slopes are also shown. Prior assumptions of the failure mechanisms are not required for these finite-element limit-analysis methods, therefore providing a more realistic understanding of slope failures.

Key concepts: Limit analysis, Finite element method, Hoek–Brown failure criterion, Slope stability analysis, Finite element limit analysis, Limit (mathematics), Geotechnical engineering, Slope stability

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