Influence of Fatigue Crack Formation and Propagation on Reliability of Steel Members

Koteš, Peter; Vičan, Josef

doi:10.3390/app112311562

Cited by 6 publications

(5 citation statements)

References 36 publications

(40 reference statements)

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“…Both limit states are based on the general concept of action and barrier, where P f can be calculated according to Equation (2). Structural reliability is verified by computational models using material and geometric characteristics with the application of various limits, such as stress limits [47,48], buckling limits [49,50], deformation limits [51,52], etc.…”

Section: Probability Analysis Of Reliability With Model Uncertaintiesmentioning

confidence: 99%

Quantification of Model Uncertainty Based on Variance and Entropy of Bernoulli Distribution

Kala

2022

Mathematics

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This article studies the role of model uncertainties in sensitivity and probability analysis of reliability. The measure of reliability is failure probability. The failure probability is analysed using the Bernoulli distribution with binary outcomes of success (0) and failure (1). Deeper connections between Shannon entropy and variance are explored. Model uncertainties increase the heterogeneity in the data 0 and 1. The article proposes a new methodology for quantifying model uncertainties based on the equality of variance and entropy. This methodology is briefly called “variance = entropy”. It is useful for stochastic computational models without additional information. The “variance = entropy” rule estimates the “safe” failure probability with the added effect of model uncertainties without adding random variables to the computational model. Case studies are presented with seven variants of model uncertainties that can increase the variance to the entropy value. Although model uncertainties are justified in the assessment of reliability, they can distort the results of the global sensitivity analysis of the basic input variables. The solution to this problem is a global sensitivity analysis of failure probability without added model uncertainties. This paper shows that Shannon entropy is a good sensitivity measure that is useful for quantifying model uncertainties.

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Section: Probability Analysis Of Reliability With Model Uncertaintiesmentioning

confidence: 99%

Quantification of Model Uncertainty Based on Variance and Entropy of Bernoulli Distribution

Kala

2022

Mathematics

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“…Given that hydrogen interacting with metal on the one hand facilitates the nucleation and development of defects in local volumes [6][7][8][9], and on the other hand accelerates its degradation due to the flooding ability of the media, which is caused by their electrochemical interaction with the metal and the release of hydrogen [10][11][12][13][14][15][16], this process is enhanced by a change in the stress-strain state in local volumes due to its change along the length of the pipe (bends, bends). All changes are most fully manifested on the inner surface of the pipe in contact with the environment, which affects the operational degradation that occurs under the combined action of stresses under the working pressure and corrosive-wetting environments, which reduces the material's resistance to strain and destruction.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Technical Condition of Pipes during the Transportation of Hydrogen Mixtures According to the Energy Approach

Ivanytskyi,

Blikharskyy,

Sęp

et al. 2024

Applied Sciences

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In this study, a theoretical–experimental methodology for determining the stress–strain state in pipeline systems, taking into account the hydrogen environment, was developed. A complex of theoretical and experimental studies was conducted to determine the specific energy of destruction as an invariant characteristic of the material’s resistance to strain at different hydrogen concentrations. The technique is based on the construction of complete diagrams of the destruction of the material based on the determination of true strains and stresses in the local volume using the method involving the optical–digital correlation of speckle images. A complex of research was carried out, and true diagrams of material destruction were constructed, depending on the previous elastic–plastic strain and the action of the hydrogen environment. The change in the concentration of hydrogen absorbed by the material was estimated, depending on the value of the specific energy of destruction. A study was conducted on tubular samples, and the degree of damage to the material of the inner wall under the action of hydrogen and stress from the internal pressure was evaluated according to the change in specific energy, depending on the value of the true strain established with the help of an optical–digital correlator on the outer surface, and the degree of damage was determined. It has been established that the specific fracture energy of 17G1S steel decreases by 70–90% under the influence of hydrogen. The effect of the change in the amount of strain energy on the thickness of the pipe wall is illustrated.

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“…According to the results of analytical calculation with the use of probabilistic approach, the decrease in the reliability and durability of the bridge was identified. Also, the relationship between the fatigue crack size and change of the resistance and the reliability of the cross section over time was identified (Koteš and Vičan, 2021).…”

Section: Introductionmentioning

confidence: 99%

Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement

Selejdak

Bobalo

Blikharskyy

et al. 2023

Production Engineering Archives

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Most of the modern computer software for the building structures‘ calculation is based on mathematical dependencies which make it possible to analyse rather complex stress-strain state of structures subjected to loading. As a rule, the calculation is based on the finite element method and is reduced to the calculation of deformations arising in structures due to the action of external forces with the use of real strain diagrams of materials, σ-ε diagrams for concrete and reinforcement. Modern normative regulations for reinforced concrete structures‘ calculation are also based on the deformation model using material deformation diagrams, which are as close to the real ones, as possible. Therefore, this study was aimed to investigate in more detail the stress-strain state and the physical essence of the processes occurring in reinforced concrete structures with combined reinforcement according to mathematical approaches and regulations of DBN B.2.6-98:2009 and DSTU B. In 2.6-156:2010. Namely, in the research is analysed the combined reinforcement of S245 steel tapes and A1000 rebar, which is used in the production of reinforced concrete elements. The results of mathematical modelling were compared with the calculation results, according to DBN B.2.6-98: 2009 and DSTU B. B 2.6-156:2010, as well as with field experimental data. Therefore, the conclusion could be made, whether it is possible to use this technique with sufficient accuracy to calculate reinforced concrete structures with combined reinforcement.

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Influence of Fatigue Crack Formation and Propagation on Reliability of Steel Members

Cited by 6 publications

References 36 publications

Quantification of Model Uncertainty Based on Variance and Entropy of Bernoulli Distribution

Quantification of Model Uncertainty Based on Variance and Entropy of Bernoulli Distribution

Evaluation of the Technical Condition of Pipes during the Transportation of Hydrogen Mixtures According to the Energy Approach

Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement

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