Behaviour of reinforced embankment on soft ground and reliablity analysis

Xu, Baoxi

doi:10.32657/10356/12053

Cited by 2 publications

(2 citation statements)

References 171 publications

(273 reference statements)

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“…Slope reliability analyses considering inherent spatial variability of soil properties have attracted considerable research attention in the past few decades (e.g., ). Wang et al have concluded that variation of the most probable slip surface has significant influence on the slope reliability.…”

Section: Introductionmentioning

confidence: 99%

Multiple response surfaces for slope reliability analysis

Chu

2014

Num Anal Meth Geomechanics

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This paper develops a multiple response surfaces approach to approximate the limit state function for slope failure by second-order polynomial functions, to incorporate the variation of the most probable slip surfaces, and to evaluate the slope failure probability p f . The proposed methodology was illustrated through a cohesive soil slope example. It is shown that the p f values estimated from multiple response surfaces agree well with those p f values that have been obtained by searching a large number of potential slip surfaces in each Monte Carlo simulation (MCS) sample.The variation of number of the most probable slip surfaces is studied at different scale of fluctuation (λ) values. It is found that when full correlation assumed for each of random fields (i.e., spatial variability is ignored), the number of the most probable slip surfaces is equal to the number of random fields (in this study, it is 3). When the spatial variability grows significantly, the number of the most probable slip surfaces or number of multiple response surfaces firstly increases evidently to a higher value and then varies slightly. In addition, the contribution of a specific most probable slip surface varies dramatically at different spatial variability level, and therefore, the variation of the most probable slip surfaces should be accounted for in the reliability analysis. The multiple response surfaces approach developed in this paper provides a limit equilibrium method and MCS-based means to incorporate such a variation of the most probable slip surfaces in slope reliability analysis.

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Section: Introductionmentioning

confidence: 99%

Multiple response surfaces for slope reliability analysis

Chu

2014

Num Anal Meth Geomechanics

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“…Discretizing the 2-D random fields over the slip surface according to slicesSeveral published works have applied the method of autocorrelated slices directly or indirectly Xu (2006). studied the influence of spatial variation on slope reliability by treating the strength parameters at the mid-point along the base of slices as correlated random variables, and made comparisons with the variance reduction method.…”

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confidence: 99%

Reliability analysis of earth slopes accounting for spatial variation

Ji¹

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The stability of earth slopes is an important issue in geotechnical engineering. In the routine stability analysis, soil properties are given deterministic values, based on which a lumped factor of safety is derived as the deterministic solution. One limitation of the deterministic analysis is that the parametric uncertainty which is inherent in geotechnical engineering cannot be taken into account explicitly. In contrast, the uncertainty can be accounted for by adopting probabilistic methods. However, extending deterministic slope stability analysis to probabilistic analysis is often a complicated and challenging task. The objective of this study is to develop some practical approaches of reliability assessment of earth slopes and to investigate the effect of spatial variation on slope reliability. An efficient approach of first-order reliability method (FORM) is proposed based on a recursive algorithm searching for the design point in the equivalent standard normal variable space (n-space). Based on the recursive algorithm, reliability analysis involving implicit limit state surface can be carried out via finite-difference sensitivity analysis in the n-space (probabilistic sensitivity-based FORM). The probabilistic sensitivity-based FORM is shown to be as efficient as the commonly-used response surface method for FORM (RSM-based FORM), but it needs less evaluation of the limit state surface and hence is more efficient. Application of the probabilistic sensitivity-based FORM to strength-reduction finite element slope reliability analysis is presented via two case studies. The importance of spatial variation of geotechnical properties is highlighted in this study. Based on the limit equilibrium method (LEM) of slices, two methods, namely, method of autocorrelated slices and method of interpolated autocorrelations are proposed to model the two-dimensional (2-D) spatial variability of soil properties. The iii Acknowledgement This author would like to express his deepest appreciation to his supervisor, Associate Professor Bak Kong Low, for his guidance and encouragement, and for the many invaluable discussions with him. It has been a very memorable and inspiring four-year learning experience. The author would also like to thank the Nanyang Technological University (NTU) of Singapore for granting him the scholarship (2008-2012) for this research program.

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Behaviour of reinforced embankment on soft ground and reliablity analysis

Cited by 2 publications

References 171 publications

Multiple response surfaces for slope reliability analysis

Multiple response surfaces for slope reliability analysis

Reliability analysis of earth slopes accounting for spatial variation

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