Global Sensitivity Analysis for Transformation of Hoek-Brown Failure Criterion for Rock Mass

Štefaňák, Jan; Kala, Zdeněk; Miča, Lumír; Norkus, Arnoldas

doi:10.3846/jcem.2018.5194

Cited by 11 publications

(10 citation statements)

References 35 publications

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“…In civil engineering, classical Sobol SA (SSA) [6,7] is applied in the research of structural responses [8][9][10][11][12][13][14][15][16] or responses in geotechnical applications [17,18]. SSA is attractive for a number of reasons, e.g., it measures sensitivity across the whole input space (i.e., it is a global method), and it is capable of dealing with non-linear responses, as well as measuring the effect of interactions in non-additive models.…”

Section: Introductionmentioning

confidence: 99%

From Probabilistic to Quantile-Oriented Sensitivity Analysis: New Indices of Design Quantiles

Kala

2020

Symmetry

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In structural reliability analysis, sensitivity analysis (SA) can be used to measure how an input variable influences the failure probability Pf of a structure. Although the reliability is usually expressed via Pf, Eurocode building design standards assess the reliability using design quantiles of resistance and load. The presented case study showed that quantile-oriented SA can provide the same sensitivity ranking as Pf-oriented SA or local SA based on Pf derivatives. The first two SAs are global, so the input variables are ranked based on total sensitivity indices subordinated to contrasts. The presented studies were performed for Pf ranging from 9.35 × 10−8 to 1–1.51 × 10−8. The use of quantile-oriented global SA can be significant in engineering tasks, especially for very small Pf. The proposed concept provided an opportunity to go much further. Left-right symmetry of contrast functions and sensitivity indices were observed. The article presents a new view of contrasts associated with quantiles as the distance between the average value of the population before and after the quantile. This distance has symmetric hyperbola asymptotes for small and large quantiles of any probability distribution. Following this idea, new quantile-oriented sensitivity indices based on measuring the distance between a quantile and the average value of the model output are formulated in this article.

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Section: Introductionmentioning

confidence: 99%

From Probabilistic to Quantile-Oriented Sensitivity Analysis: New Indices of Design Quantiles

Kala

2020

Symmetry

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“…In civil engineering, structural reliability is assessed using the well-developed co cept of limit states [59,60], which clearly defines the design quantiles of resistance and t In civil engineering, SA is focused on the stability of steel frames [20], deflection of concrete beams with correlated inputs [21], multiple-criteria decision-making (MCDM) [22], structural response to stochastic dynamic loads [23], rheological properties of asphalt [24], thermal performance of facades [25], strength of reinforced concrete beams [26], use of machines during the construction of tunnels [27], stress-based topology of structural frames [28], seismic response of steel plate shear walls [29], deformation of retaining walls [30], multiple-attribute decision making (MADM) [31], efficiency of the operations of transportation companies [32], unbalanced bidding prices in construction projects [33], shear buckling strength [34], reliability index β of steel girders [35], system reliability [36], seismic response and fragility of transmission toners [37], shear strength of corrugated web panels [38], inelastic response of conical shells [39], fatigue limit state [40], corrosion depth [41], building-specific seismic loss [42], vibration response of train-bridge coupled systems [43], shear strength of reinforced concrete beam-column joints [44], forecasts of groundwater levels [45], equivalent rock strength [46], vertical displacement and maximum axial force of piles [47], regional-scale subsurface flow [48], ultimate limit state of cross-beam structures [49], serviceability limit state of structures [50], deflection of steel frames…”

Section: Reliability-oriented Sensitivity Analysismentioning

confidence: 99%

Global Sensitivity Analysis of Quantiles: New Importance Measure Based on Superquantiles and Subquantiles

Kala

2021

Symmetry

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The article introduces quantile deviation l as a new sensitivity measure based on the difference between superquantile and subquantile. New global sensitivity indices based on the square of l are presented. The proposed sensitivity indices are compared with quantile-oriented sensitivity indices subordinated to contrasts and classical Sobol sensitivity indices. The comparison is performed in a case study using a non-linear mathematical function, the output of which represents the elastic resistance of a slender steel member under compression. The steel member has random imperfections that reduce its load-carrying capacity. The member length is a deterministic parameter that significantly changes the sensitivity of the output resistance to the random effects of input imperfections. The comparison of the results of three types of global sensitivity analyses shows the rationality of the new quantile-oriented sensitivity indices, which have good properties similar to classical Sobol indices. Sensitivity indices subordinated to contrasts are the least comprehensible because they exhibit the strongest interaction effects between inputs. However, using total indices, all three types of sensitivity analyses lead to approximately the same conclusions. The similarity of the results of two quantile-oriented and Sobol sensitivity analysis confirms that Sobol sensitivity analysis is empathetic to the structural reliability and that the variance is one of the important characteristics significantly influencing the low quantile of resistance.

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“…A numerical simulation result is very sensitive not only in terms of the applied mathematical model but also its initial parameters. In this case, the sensitivity analysis of SP and PG performance predictions (e.g., Kala & Vales, 2017;Chalmovsky et al, 2017;Stefanak, Kala, Mica, & Norkus, 2018) can be useful. The settlement s of an individual pile acting in PG is generally determined by using a superposition of interaction factors.…”

Section: Ground Resistance Of a Pile And Pile Groupmentioning

confidence: 99%

Experimental Study on Bearing Resistance of Short Displacement Pile Groups in Dense Sands

Norkus

Martinkus

2019

Journal of Civil Engineering and Management

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The prediction of the behavior of structures interacting with soil is one of the main challenges in structural design. Accurate evaluation of soil–structure interaction ensures a rational design solution for the superstructure and foundation of a building. In structural analysis, one of the key problems is the identification of relevant movements of the foundation considering the interaction between the superstructure, foundation and ground (the soil mass around the foundation). The correct assessment of soil–structure interaction contributes to the rational constructional design of the superstructure and foundation and allows avoiding violations of requirements for ultimate and serviceability limit states possible due to unpredicted additional stress on the structural system. Resistance predictions for pile group foundations is a complex problem, which may be the reason for scattered and insufficient information available despite numerous experimental and numerical studies, predominated by the focus on partial empirical relationships. This experimental study analyzed the prototype of a short displacement pile group with a flexible pile cap in terms of the bearing capacity and deformation behavior while subjected to static axial vertical load. In particular, attention was given to the resistance–stiffness evolution of single piles acting in a pile group with different spacing. Test results of short displacement pile groups were used to verify known models for the bearing resistance prediction of the pile group.

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Global Sensitivity Analysis for Transformation of Hoek-Brown Failure Criterion for Rock Mass

Cited by 11 publications

References 35 publications

From Probabilistic to Quantile-Oriented Sensitivity Analysis: New Indices of Design Quantiles

From Probabilistic to Quantile-Oriented Sensitivity Analysis: New Indices of Design Quantiles

Global Sensitivity Analysis of Quantiles: New Importance Measure Based on Superquantiles and Subquantiles

Experimental Study on Bearing Resistance of Short Displacement Pile Groups in Dense Sands

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