Journal ArticleDOI
Reliability analysis of circular tunnel under hydrostatic stress field
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TLDR
In this paper, the first-order reliability method (FORM) was used to calculate the reliability index of a circular tunnel subjected to a hydrostatic stress field, and the reliability analysis involving correlated non-normal distributions was also investigated.About:
This article is published in Computers and Geotechnics.The article was published on 2010-01-01. It has received 122 citations till now. The article focuses on the topics: Reliability (statistics) & Hydrostatic stress.read more
Citations
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Journal ArticleDOI
Probabilistic analysis of underground rock excavations using response surface method and SORM
Qing Lü,Qing Lü,Bak Kong Low +2 more
TL;DR: In this article, a response surface is found using an iterative algorithm and the probability of failure is evaluated using the first-order and second-order reliability method (FORM/SORM).
Journal ArticleDOI
Impact of copula selection on geotechnical reliability under incomplete probability information
TL;DR: The results indicate that the probabilities of failure of geotechnical structures with given marginal distributions and correlation coefficient of shear strength parameters cannot be determined uniquely.
Journal ArticleDOI
New methods for system reliability analysis of soil slopes
ZhangJ.,H TangWilson +1 more
TL;DR: In this article, the system failure probability of a slope is different from the probability of failure along a slip surface, as sliding along any slip surface can cause slope failure, and the failure probability for a slope may have many possible slip surfaces.
Journal ArticleDOI
Reliability analysis of ground–support interaction in circular tunnels using the response surface method
TL;DR: In this paper, the first-order and second-order reliability method (FORM/SORM) were used to evaluate the failure probability of three performance functions of the ground-support interaction in circular tunnels subjected to hydrostatic stresses.
Journal ArticleDOI
Probabilistic evaluation of ground-support interaction for deep rock excavation using artificial neural network and uniform design
TL;DR: In this paper, an efficient approach for probabilistic ground-support interaction analysis of deep rock excavation using the artificial neural network (ANN) and uniform design is proposed, where the ANN model is employed as the response surface to fit the real limit state surface.
References
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Book
Advanced Engineering Mathematics
TL;DR: This book discusses ODEs, Partial Differential Equations, Fourier Series, Integrals, and Transforms, and Numerics for ODE's and PDE's, as well as numerical analysis and potential theory, and more.
Journal ArticleDOI
Exact and Invariant Second-Moment Code Format
A. M. Hasofer,Niels C. Lind +1 more
TL;DR: In this article, a fundamental analysis of the meaning of second-moment reliability in multivariate problems is presented, and the format described is entirely derived from one basic assumption concerning the measurement of reliability.
Journal ArticleDOI
Advanced Engineering Mathematics.
Ronald F. Barnes,Erwin Kreyszig +1 more
TL;DR: In this article, the authors present an approach for ODE's Phase Plane, Qualitative Methods, and Partial Differential Equations (PDE's) to solve ODE problems.
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.
Book
Reliability and statistics in geotechnical engineering
TL;DR: In this paper, the authors present a survey of the state of the art in the field of geotechnical reliability analysis, focusing on the following: 1.1 Randomness, uncertainty, and the world. 2.3 Probability.
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Probabilistic analysis of underground rock excavations using response surface method and SORM
Qing Lü,Qing Lü,Bak Kong Low +2 more