Modelling dependence structures of soil shear strength data with bivariate copulas and applications to geotechnical reliability analysis

Wu, Xing Zheng

doi:10.1016/j.sandf.2015.09.023

Cited by 39 publications

(18 citation statements)

References 52 publications

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“…between 0.4% and 0.9%) for each method. Nonetheless, it is in good agreement with the results reported by other investigators, such as Lü andLow (2011), andWu (2015a). This discrepancy is caused by the differences between the normal and the lognormal distribution of the bulk unit weight.…”

Section: Solutionsupporting

confidence: 91%

“…between 0.7% and 1.4%) than the results obtained using the multivariate best-fit distribution. This discrepancy is mainly attributed to the differences of marginal distributions with w and g. Some similar conclusions can be found in the results of other investigators, such as Mbarka et al (2010) and Wu (2015a). Figure 8.…”

Section: Solutionsupporting

confidence: 82%

“…In the practice of geotechnical engineering or geosciences, several researchers have demonstrated the abilities of the R programming language (Grunsky 2002;Wu 2013aWu , 2013bWu , 2015aWu , 2015bKaklamanos and Elmy 2016), and their studies cover specific aspects of both the deterministic and probabilistic applications. These applications are still in their nascent stages, and the full potential of R for analysing geotechnical problems has yet to be realised.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Implementing statistical fitting and reliability analysis for geotechnical engineering problems in R

2016

Georisk: Assessment and Management of Risk for Engineered Syste

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Reliability analysis and multivariate statistical fitting are valuable techniques that enhance the scientific basis of regulatory decisions in geotechnical problems. This study introduces the use of several R packages specifically developed to assist risk assessors in their geotechnical projects. Firstly, the fitting of parameterised models either to the distribution of observed samples or to characterise the dependence structures among variables, or both is presented. Secondly, the most popular reliability analysis methods, such as the first-and second-order reliability methods and the random sampling simulation method, are implemented in R. The efficiency of implementing these classical approximation methods is demonstrated through two example problems. ARTICLE HISTORY

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Section: Solutionsupporting

confidence: 91%

Section: Solutionsupporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

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Implementing statistical fitting and reliability analysis for geotechnical engineering problems in R

2016

Georisk: Assessment and Management of Risk for Engineered Syste

Self Cite

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“…Cohesion and internal shear angle are basic parameters of soil mechanics determined by failure criteria of Mohr-Coulomb that is applied to describe and check the stability in geotechnical engineering [20]. The shear angle is an angle formed by the relationship between normal stress and shear stress in soil material or rock [21].…”

Section: Soil Testing Specificationmentioning

confidence: 99%

Analysis of Rake Angle Effect to Stress Distribution on Excavator Bucket Teeth Using Finite Element Method

et al. 2018

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Excavator is mostly used for mining and construction. This heavy equipment, widely known as a backhoe, is a digging machine commonly used for dredging the mining materials, digging and leveling the soil, dredging the river, removing the road and demolition. Excavator has bucket teeth, component that frequently undergoes a change. The replacement of bucket teeth is performed due to its low usage time and many failure experiences such as wear, bend, crack and facture during the use. To prevent the occurrence of the failures, a structural analysis on bucket teeth is necessarily conducted. The analysis was conducted to find the stress distribution on bucket teeth from the rake angle effect during the excavation. The analysis was performed using finite element method by static loading and two-dimensional modeling to determine digging and resistive force in bucket teeth. Based on the analysis, it was obtained the stress distribution and maximum value of von misses occurring in the bucket teeth from the rake angle effect. The maximum stress, obtained from the analysis results, was then compared to the allowable stress of the bucket teeth material. The results showed that the materials used were in safe limits and had small potential for experiencing failure as well.

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“…Chen et al had proven that marginal distribution has a minor effect on calculated results of the factor of safety as a major influence on the failure probability [19]. Wu demonstrated the performances of conventional distribution models differ from each other [20]. ese studies concluded that a reasonable marginal distribution of shear strength parameter is vitally significant to the accuracy of reliability analysis.…”

Section: Introductionmentioning

confidence: 99%

Optimal Estimation of Shear Strength Parameters Based on Copula Theory Coupling Information Diffusion Technique

Zhou

Zhang

et al. 2019

Advances in Civil Engineering

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In geotechnical reliability analysis, random volatility in marginal distributions of shear strength parameters has been rarely considered. Unfortunately, conventional marginal distribution models cannot characterize real probability distribution accurately, leading to considerable dispersion with incomplete probabilistic information. In this paper, an estimation methodology is proposed based on copula theory coupling information diffusion technique. Firstly, information diffusion distribution is extended to represent one-dimensional marginal distributions of shear strength parameters. Secondly, copula theory is employed to characterize the dependence structures among the parameters. Eventually, equivalent sample is yielded by information diffusion distribution that has been already established. A case study in Singapore is implemented to enunciate and validate the competence of the proposed method. The performances of the candidate copulas coupling different marginal distributions are further discussed. Results indicate that information diffusion distribution can efficiently capture the random volatility of real distributions of shear strength parameters and hold remarkable superiority in modeling marginal distributions. The equivalent sample, estimated by information diffusion technique in conjunction with Gaussian copula, has considerable consistency with original data. The proposed method can provide a reference to reliability analysis in geotechnical engineering.

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Modelling dependence structures of soil shear strength data with bivariate copulas and applications to geotechnical reliability analysis

Cited by 39 publications

References 52 publications

Implementing statistical fitting and reliability analysis for geotechnical engineering problems in R

Implementing statistical fitting and reliability analysis for geotechnical engineering problems in R

Analysis of Rake Angle Effect to Stress Distribution on Excavator Bucket Teeth Using Finite Element Method

Optimal Estimation of Shear Strength Parameters Based on Copula Theory Coupling Information Diffusion Technique

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