Journal ArticleDOI
A probabilistic analysis of foundation settlements
W. Brza̧kała,Wojciech Puła +1 more
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TLDR
In this paper, the authors deal with a settlement analysis of shallow foundations resting on a layered subsoil, which is based on the finite element method coupled with stochastic versions of the perturbation and the Neumann expansion methods.About:
This article is published in Computers and Geotechnics.The article was published on 1996-01-01. It has received 41 citations till now. The article focuses on the topics: Shallow foundation & Randomness.read more
Citations
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An overview of soil heterogeneity: quantification and implications on geotechnical field problems
TL;DR: The implications of geostatistical techniques and up-scaling methods used for quantifying the heterogeneous permeability of soil as addressed in the petroleum industry are presented and the interest of geotechnical practice to incorporate the statistical properties of soil in a probabilistic design framework is discussed.
Journal ArticleDOI
Comparison of different probabilistic methods for predicting stability of a slope in spatially variable c–φ soil
TL;DR: In this article, three probabilistic methods of different complexity for slope stability calculations are evaluated with respect to a well-documented case study of slope failure in Lodalen, Norway.
Journal ArticleDOI
Probabilistic Analysis of Coupled Soil Consolidation
Jinsong Huang,Jinsong Huang,D. V. Griffiths,D. V. Griffiths,Gordon A. Fenton,Gordon A. Fenton +5 more
TL;DR: In this paper, the results of parametric studies are presented, which describe the effect of the standard deviation, spatial correlation length, and cross correlation coefficient on output statistics relating to the overall “equivalent” coefficient of consolidation.
Journal ArticleDOI
Reliability with respect to settlement limit-states of shallow foundations on linearly-deformable subsoil
J. Bauer,Wojciech Puła +1 more
TL;DR: In this paper, a step-by-step procedure for applying the response surface and SORM methods in estimating the reliability index associated with exceeding a certain allowable settlement level by a shallow foundation is presented.
References
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Book
Stochastic Finite Elements: A Spectral Approach
Roger Ghanem,Pol D. Spanos +1 more
TL;DR: In this article, a representation of stochastic processes and response statistics are represented by finite element method and response representation, respectively, and numerical examples are provided for each of them.
Journal ArticleDOI
Structural reliability under combined random load sequences
Rüdiger Rackwitz,Bernd Flessler +1 more
TL;DR: In this paper, an algorithm for the calculation of structural reliability under combined loading is formulated, in which loads or any other actions upon structures are modelled as independent random sequences and the relevant limit state criterion is pointwise approximated by a tangent hyperplane.
Journal ArticleDOI
Asymptotic approximations for multinormal integrals
TL;DR: In this paper, the problem of deriving approximations for multinormal integrals is examined using results of asymptotic analysis, where the boundary of the integration domain given by g(x¯) is simplified by replacing by its Taylor expansion at the points on the boundary with minimal distance to the origin.
Journal ArticleDOI
The stochastic finite-element method
TL;DR: In this article, a generic stochastic finite-element method for modeling structures is proposed as a means to analyze and design structures in a probabilistic framework, which is applied in structures discretized with the finite element methodology, and an estimate of the probability of failure based on known and established procedures in second-moment reliability analysis is made with the aid of a transformation to gaussian space of the random variables that define structural reliability.
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Optimization algorithms for structural reliability
TL;DR: In this paper, several optimization algorithms are evaluated for application in structural reliability, where the minimum distance from the origin to the limit-state surface in the standard normal space is required, and the objective is to determine the suitability of the algorithms for application to linear and nonlinear finite element reliability problems.
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Probabilistic Foundation Settlement on Spatially Random Soil
Gordon A. Fenton,D. V. Griffiths +1 more