High dimensional model representation for reliability analyses of complex rock–soil slope stability

Vessia, Giovanna; Kozubal, Janusz; Puła, Wojciech

doi:10.1016/j.acme.2017.04.005

Cited by 21 publications

(10 citation statements)

References 17 publications

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“…This approach is named the Modified Response Surface (MRS) method and was evaluated according to the classical Response Surface (RS) method widely descripted in [25]. In the RS method, discrete values of RS ( x ) are approximated by a continuous function as follows: where RS' ( x ) is an approximate function including high dimensional model representation [26], polynomials, neural networks or wavelons. Term is an error of approximation; x is a random vector of mechanical properties (or loads ) where N is dimension of subspace Ω domain.…”

Section: Reliability Task For Columns Under Lateral Loadmentioning

confidence: 99%

Probabilistic analysis of a concrete column in an aggressive soil environment

2019

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Sulphate attack is one of the most important factors that limit the lifetime of pure concrete constructions. Harsh environmental conditions have a large impact on the operational costs of concrete columns or piles dipped into soil. The results are non-deterministic; therefore, reliability analysis is often used. The strength characteristics of the substrate around the construction were modelled as one-dimensional prismatic beams related with random p-y curves. Sulphate deterioration is defined as a set of random variables jointed with two dimensional mechanical systems at acceptable levels. Fick’s second law describes the penetration of sulphate ingress into pure concrete with explicit numerical solutions for boundary conditions and an increase in the transition factor under the progress of sulphate ingress. This process was partially solved via analytical methods for sulphate ion transport and numerically for a random field. This solves the mechanical task and determines the system reliability. A numerical example is provided to illustrate the proposed method to prevent unexpected structural failures during column service life. The proposed methodology can assist designers and can help to make decisions on existing foundations to ensure the safety of geotechnical construction.

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Section: Reliability Task For Columns Under Lateral Loadmentioning

confidence: 99%

Probabilistic analysis of a concrete column in an aggressive soil environment

2019

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“…The Eurocode [11] allows for analysing safety factor using a probabilistic method that enables precise determination of the probability of a failure. It is described as the probability of safety factor being smaller than 1.0 and expressed with the following formula (3) [12]:…”

Section: Probabilistic Modelling Of Slopesmentioning

confidence: 99%

Slope stability analysis in the case of probabilistic and semi-probabilistic design method

Szabowicz

2019

E3S Web Conf.

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This paper addresses the issue of probabilistic and semi-probabilistic modelling of soil slopes. A slope made of cohesive-frictional soil of specific geometry was analysed as an example. Results were calculated for two methods using the Z-Soil finite element software. It has been assumed that the probability distributions of strength parameters, cohesion and internal friction angle are normal distributions with average values and coefficient of variation = 0.2. Random finite element method (RFEM) has been used for probabilistic modelling. Random fields of cohesion and internal friction angle have been generated using the Fourier series method (FSM). Monte Carlo simulation has been used to calculate the statistics of the slope factor of safety in order to determine the probability of failure. Moreover, assumed parameter distributions allowed to determine safe characteristic values used in the semi-probabilistic partial factors method. Both approaches have been compared in the article.

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“…In many complex stress environments, the performance function of a structure may be quite complicated or even impossible to obtain. To acquire a reliability index with a complex performance function or implicit state, some authors proposed the response surface method [27], which was initially mainly applied to the reliability analysis of slopes [28][29][30][31]. As research progressed, the response surface method has gradually been applied to reliability analysis in tunnel engineering [32].…”

Section: Introductionmentioning

confidence: 99%

Tunnel Failure Evolution and System Reliability Analysis Based on the β-unzipping Method

2021

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The structural failure of a tunnel is a process that evolves from local damage to overall destruction. The system reliability analysis method can be useful for analyzing the evolutionary law of local structural failure. In many complex stress environments, the structural performance function may be very complicated or even impossible to solve. This paper establishes a response surface function to represent the implicit tunnel performance function. The reliability of the shear capacity of a tunnel is considered. The critical parts and critical failure paths of the tunnel system are determined using the β-unzipping method. Failure evolution is analyzed to obtain the failure process of the tunnel system. Different failure modes are shown under different cases. Based on the partial failure probability and impact on the tunnel system, the risk levels of the critical parts at each stage of the failure history are evaluated. Therefore, the tunnel failure tree model obtained by combining the response surface method and β-unzipping method plays an important role in tunnel reliability evolution, and can evaluate tunnel safety comprehensively.

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High dimensional model representation for reliability analyses of complex rock–soil slope stability

Cited by 21 publications

References 17 publications

Probabilistic analysis of a concrete column in an aggressive soil environment

Probabilistic analysis of a concrete column in an aggressive soil environment

Slope stability analysis in the case of probabilistic and semi-probabilistic design method

Tunnel Failure Evolution and System Reliability Analysis Based on the β-unzipping Method

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