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Slope stability analysis using rigid...

Chen, Jian.

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Slope stability analysis using rigid elements.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Slope stability analysis using rigid elements./
作者:	Chen, Jian.
面頁冊數:	198 p.
附註:	Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4803.
Contained By:	Dissertation Abstracts International65-09B.
標題:	Geotechnology. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3148248
ISBN:	0496077864

Slope stability analysis using rigid elements.
Chen, Jian.

Slope stability analysis using rigid elements. - 198 p.

Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4803.

Thesis (Ph.D.)--Hong Kong Polytechnic University (People's Republic of China), 2004.

Slope stability problems are among the most commonly addressed problems in geotechnical engineering. In the past several decades, limit equilibrium methods have been most commonly used and widely accepted by engineers for slope stability analyses due to their relative simplicity and rich experience accumulated. However, it is well known that the solution obtained by a limit equilibrium method is not rigorous because neither static nor kinematic admissibility conditions are satisfied. Recently, many efforts have been made to utilize limit methods based on the upper bound or lower bound limit theorems in classical plasticity to assess the slope stability. The main objective of this thesis is to develop and provide a novel approach to the upper bound limit analysis of slope stability using rigid elements. A new rigid element formulation of the upper bound theorem is derived and presented. An efficient solution algorithm is adopted to obtain the factor of safety for the resulting optimization problem. A new three-dimensional (3-D) mesh generation scheme with the power of digital elevation model (DEM) in Geographical Information System (GIS) has been put forward as related to 3-D mesh generation for 3-D slope stability analysis.

ISBN: 0496077864Subjects--Topical Terms:

1018558
Geotechnology.

Slope stability analysis using rigid elements.
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245 1 0 $a Slope stability analysis using rigid elements.
300 $a 198 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4803.
500 $a Adviser: Jian-Hua Yin.
502 $a Thesis (Ph.D.)--Hong Kong Polytechnic University (People's Republic of China), 2004.
520 $a Slope stability problems are among the most commonly addressed problems in geotechnical engineering. In the past several decades, limit equilibrium methods have been most commonly used and widely accepted by engineers for slope stability analyses due to their relative simplicity and rich experience accumulated. However, it is well known that the solution obtained by a limit equilibrium method is not rigorous because neither static nor kinematic admissibility conditions are satisfied. Recently, many efforts have been made to utilize limit methods based on the upper bound or lower bound limit theorems in classical plasticity to assess the slope stability. The main objective of this thesis is to develop and provide a novel approach to the upper bound limit analysis of slope stability using rigid elements. A new rigid element formulation of the upper bound theorem is derived and presented. An efficient solution algorithm is adopted to obtain the factor of safety for the resulting optimization problem. A new three-dimensional (3-D) mesh generation scheme with the power of digital elevation model (DEM) in Geographical Information System (GIS) has been put forward as related to 3-D mesh generation for 3-D slope stability analysis.
520 $a The major part of this thesis describes a new upper bound formulation using rigid elements for the limit analysis of two-dimensional (2-D) and 3-D slope stability problems. Rigid elements are used to construct a kinematically admissible velocity field, which makes it possible to perform the limit analysis of stability problems with complex geometries, soil profiles, groundwater conditions, and complicated loadings. The velocity discontinuities are permitted to occur at all inter-element boundaries. The task of finding the minimum value of the factor of safety can be formulated as a nonlinear programming problem with linear and nonlinear equality constraints by expressing mathematically the Mohr-Coulomb failure criterion, a flow rule, velocity boundary conditions, and the energy-work balance equation. A special feasible sequential quadratic programming algorithm (FSQP) has been applied, for the first time, to obtain the solutions for such nonlinear optimization problems. In FSQP, the nonlinear equality constraints are turned into inequality constraints and the objective function is replaced by an exact penalty function which penalizes nonlinear equality constraint violations only. (Abstract shortened by UMI.)
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791 $a Ph.D.
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