A mixed formulation of limit analysis for seismic slope stability

Nguyen, HC ORCID: 0000-0001-6599-2790 (2023) A mixed formulation of limit analysis for seismic slope stability. Géotechnique Letters, 13 (1). pp. 1-11.

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Abstract

<jats:p> This paper presents a mixed formulation based on the node-based smoothed finite-element method for estimating seismic slope stability. The final form of Hellinger–Reissner is cast as the min–max optimisation problem with conic constraints. Solving the second-order cone programming directly determines both master fields, stress and displacement. It is shown from the numerical results that the stability numbers obtained are almost equal to the exact collapse loads for the relatively flat slopes. Moreover, the effects of the dilation angle on the seismic stability number are studied by incorporating a simple iterative technique in the algorithm cast as max-min programming, arriving at the observation that both the static and the seismic stability numbers are susceptible to the dilation angle. Although the magnitude of the seismic stability number largely depends on the vertical seismic acceleration for a broad range of typical slope angles, the seismic stability number for the relatively flat slopes in cohesive-frictional soils is likely independent of the seismic acceleration in the vertical direction. </jats:p>

Item Type:	Article
Uncontrolled Keywords:	seismic slope stability, smoothed finite element method, the min-max optimisation problem
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	30 Mar 2023 15:27
Last Modified:	01 Mar 2024 02:30
DOI:	10.1680/jgele.22.00087
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3169347