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Probabilistic stability assessment of slopes using high dimensional model representation
Published in
2010
Volume: 37
   
Issue: 7-8
Pages: 876 - 884
Abstract
This paper presents a new computational tool for probabilistic stability assessment of earth slopes/embankments. The method involves high dimensional model representation (HDMR) that facilitates lower dimensional approximation of the original limit state, response surface generation of HDMR component functions, and Monte Carlo simulation. HDMR is a general set of quantitative model assessment and analysis tools for capturing the high-dimensional relationships between sets of input and output model variables. It is a very efficient formulation of the system response, if higher-order variable correlations are weak, allowing the physical model to be captured by the first few lower-order terms. Once the approximate form of the original limit state is defined, the failure probability can be obtained by statistical simulation. Results of four numerical examples indicate that the proposed method provides accurate and computationally efficient estimates of the failure probability of earth slopes/embankments. © 2010 Elsevier Ltd.
About the journal
JournalComputers and Geotechnics
ISSN0266352X
Open AccessNo
Concepts (35)
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    ANALYSIS TOOLS
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    Computational tools
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    Computationally efficient
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    EFFICIENT FORMULATION
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    Failure probability
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    HIGH DIMENSIONAL MODEL REPRESENTATION
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    High-dimensional
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    Higher order
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    Input and outputs
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    LIMIT STATE
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    MODEL VARIABLES
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    Monte carlo simulation
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    Moving least squares
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    Numerical example
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    Physical model
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    Quantitative models
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    Response surface
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    Stability assessment
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    Statistical simulation
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    System response
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    Computer simulation
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    Monte carlo methods
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    Probability
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    Probability density function
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    Railroad plant and structures
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    Surface properties
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    System stability
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    Slope stability
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    EMBANKMENT
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    FAILURE ANALYSIS
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    Monte carlo analysis
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    Numerical model
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    Quantitative analysis
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    RESPONSE ANALYSIS
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    Stability analysis