Spline Search for Slip Surfaces in 3D Slopes

Ma, T; Cami, B; Javankhoshdel, S; Corkum, B; Chan, N; Gandomi, AH

Spline Search for Slip Surfaces in 3D Slopes

Ma, T Cami, B Javankhoshdel, S Corkum, B Chan, N Gandomi, AH

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Publisher:: ASCE-AMER SOC CIVIL ENGINEERS
Publication Type:: Journal Article
Citation:: International Journal of Geomechanics, 2023, 23, (8)
Issue Date:: 2023-08-01

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Field	Value	Language
dc.contributor.author	Ma, T
dc.contributor.author	Cami, B
dc.contributor.author	Javankhoshdel, S
dc.contributor.author	Corkum, B
dc.contributor.author	Chan, N
dc.contributor.author	Gandomi, AH
dc.date.accessioned	2024-05-13T12:35:18Z
dc.date.available	2024-05-13T12:35:18Z
dc.date.issued	2023-08-01
dc.identifier.citation	International Journal of Geomechanics, 2023, 23, (8)
dc.identifier.issn	1532-3641
dc.identifier.issn	1943-5622
dc.identifier.uri	http://hdl.handle.net/10453/178946
dc.description.abstract	A novel method involving the transformation of spline surfaces is introduced to search for the critical slip surface in a three-dimensional (3D) slope, which corresponds to the minimum limit equilibrium method factor of safety for overall slope stability. A slipping surface in a slope can be represented as the intersection of any continuous geometrical entity with the slope topography, over which the mass of sliding soil is discretized to solve for the factor of safety satisfying given equilibrium conditions. Traditionally, many researchers have searched for a critical ellipsoidal or spherical surface, or surfaces formed using other simple shapes. However, the critical slip surface in complicated cases, for example, a landslide, is seldom purely ellipsoidal or spherical, which leads to overestimations of the true factor of safety in a slope. To provide greater flexibility for transforming the shape of the slip surfaces during a global search, the geometry representing the slip surface is assumed to be in the form of a nonuniform rational basis spline (NURBS) surface in this paper. The proposed method involves varying the parameters of a parametric exponential function, which spawns control points within its domain to create NURBS surfaces. The parameters in the exponential function are varied to transform the slipping surface using a metaheuristic search algorithm, such as particle swarm optimization. A major advantage of the proposed method is that the final spline surface in the search is formulated such that it can then be locally optimized using surface altering optimization methods by adjusting the locations of its control points.
dc.language	English
dc.publisher	ASCE-AMER SOC CIVIL ENGINEERS
dc.relation.ispartof	International Journal of Geomechanics
dc.relation.isbasedon	10.1061/IJGNAI.GMENG-8459
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0905 Civil Engineering, 0914 Resources Engineering and Extractive Metallurgy
dc.subject.classification	General Mathematics
dc.subject.classification	4005 Civil engineering
dc.subject.classification	4019 Resources engineering and extractive metallurgy
dc.title	Spline Search for Slip Surfaces in 3D Slopes
dc.type	Journal Article
utslib.citation.volume	23
utslib.for	0905 Civil Engineering
utslib.for	0914 Resources Engineering and Extractive Metallurgy
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
dc.date.updated	2024-05-13T12:35:16Z
pubs.issue	8
pubs.publication-status	Published
pubs.volume	23
utslib.citation.issue	8

Abstract:

A novel method involving the transformation of spline surfaces is introduced to search for the critical slip surface in a three-dimensional (3D) slope, which corresponds to the minimum limit equilibrium method factor of safety for overall slope stability. A slipping surface in a slope can be represented as the intersection of any continuous geometrical entity with the slope topography, over which the mass of sliding soil is discretized to solve for the factor of safety satisfying given equilibrium conditions. Traditionally, many researchers have searched for a critical ellipsoidal or spherical surface, or surfaces formed using other simple shapes. However, the critical slip surface in complicated cases, for example, a landslide, is seldom purely ellipsoidal or spherical, which leads to overestimations of the true factor of safety in a slope. To provide greater flexibility for transforming the shape of the slip surfaces during a global search, the geometry representing the slip surface is assumed to be in the form of a nonuniform rational basis spline (NURBS) surface in this paper. The proposed method involves varying the parameters of a parametric exponential function, which spawns control points within its domain to create NURBS surfaces. The parameters in the exponential function are varied to transform the slipping surface using a metaheuristic search algorithm, such as particle swarm optimization. A major advantage of the proposed method is that the final spline surface in the search is formulated such that it can then be locally optimized using surface altering optimization methods by adjusting the locations of its control points.

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http://hdl.handle.net/10453/178946