A comparison between S-N Logistic and Kohout-Věchet formulations applied to the fatigue data of old metallic bridges materials

A new formulation of a Logistic deterministic S-N curve is applied to fatigue data of metallic materials from ancient Portuguese riveted steel bridges. This formulation is based on a modified logistic relation that uses three parameters to fit the low-cycle- (LCF), finite-life- and high-cycle-fatigu...

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Main Authors: Joelton Fonseca Barbosa, José A.F.O. Correia, Pedro Montenegro, Raimundo Carlos Silverio Freire Júnior, Grzegorz Lesiuk, Abílio M.P. De Jesus, Rui A.B. Calçada
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2019-03-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/2229
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author Joelton Fonseca Barbosa
José A.F.O. Correia
Pedro Montenegro
Raimundo Carlos Silverio Freire Júnior
Grzegorz Lesiuk
Abílio M.P. De Jesus
Rui A.B. Calçada
author_facet Joelton Fonseca Barbosa
José A.F.O. Correia
Pedro Montenegro
Raimundo Carlos Silverio Freire Júnior
Grzegorz Lesiuk
Abílio M.P. De Jesus
Rui A.B. Calçada
author_sort Joelton Fonseca Barbosa
collection DOAJ
description A new formulation of a Logistic deterministic S-N curve is applied to fatigue data of metallic materials from ancient Portuguese riveted steel bridges. This formulation is based on a modified logistic relation that uses three parameters to fit the low-cycle- (LCF), finite-life- and high-cycle-fatigue (HCF) regions. This model is compared to the Kohout-Věchet fatigue model, which has a refined adjustment from very low-cycle fatigue (VLCF) to very high-cycle fatigue (VHCF). These models are also compared with other models, such as, Power law and fatigue-life curve from the ASTM E739 standard. The modelling performance of the S-N curves was made using the fatigue data considering the stress fatigue damage parameter for the materials from the Eiffel, Luiz I, Fão and Trezói riveted steel bridges. Using a qualitative methodology of graphical adjustment analysis and another quantitative using the mean square error, it was possible to evaluate the performance of the mean S-N curve formulation. The results showed that the formulation of the S-N curve using the Logistic equation applied to the metallic materials from the old bridges obtained superior performance to the analysed models, both in the estimation of fatigue behaviour in the low-cycle fatigue (LCF) region and in the lowest mean square error.
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spelling doaj-art-54cf5a3cbc5a4973b18406f42e35e4542025-01-02T20:56:20ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-03-011348A comparison between S-N Logistic and Kohout-Věchet formulations applied to the fatigue data of old metallic bridges materialsJoelton Fonseca Barbosa0José A.F.O. Correia1Pedro Montenegro2Raimundo Carlos Silverio Freire Júnior3Grzegorz Lesiuk4Abílio M.P. De Jesus5Rui A.B. Calçada6Federal University of Rio Grande do Norte, Natal, Brazil & Federal Rural University of the Semi-Arid Region, Mossoró, Brazil Faculty of Engineering, University of Porto, Porto, PortugalFaculty of Engineering, University of Porto, Porto, PortugalFaculty of Engineering, University of Porto, Porto, PortugalFederal University of Rio Grande do Norte, Natal, BrazilFaculty of Mechanical Engineering, Department of Mechanics, Material Science and Engineering, Wrocław University of Science and Technology, Smoluchowskiego 25, 50-370 Wrocław, PolandFaculty of Engineering, University of Porto, Porto, PortugalFaculty of Engineering, University of Porto, Porto, PortugalA new formulation of a Logistic deterministic S-N curve is applied to fatigue data of metallic materials from ancient Portuguese riveted steel bridges. This formulation is based on a modified logistic relation that uses three parameters to fit the low-cycle- (LCF), finite-life- and high-cycle-fatigue (HCF) regions. This model is compared to the Kohout-Věchet fatigue model, which has a refined adjustment from very low-cycle fatigue (VLCF) to very high-cycle fatigue (VHCF). These models are also compared with other models, such as, Power law and fatigue-life curve from the ASTM E739 standard. The modelling performance of the S-N curves was made using the fatigue data considering the stress fatigue damage parameter for the materials from the Eiffel, Luiz I, Fão and Trezói riveted steel bridges. Using a qualitative methodology of graphical adjustment analysis and another quantitative using the mean square error, it was possible to evaluate the performance of the mean S-N curve formulation. The results showed that the formulation of the S-N curve using the Logistic equation applied to the metallic materials from the old bridges obtained superior performance to the analysed models, both in the estimation of fatigue behaviour in the low-cycle fatigue (LCF) region and in the lowest mean square error.https://www.fracturae.com/index.php/fis/article/view/2229FatigueAnalytical modellingFatigue-life curvePredictionLogistic formulation
spellingShingle Joelton Fonseca Barbosa
José A.F.O. Correia
Pedro Montenegro
Raimundo Carlos Silverio Freire Júnior
Grzegorz Lesiuk
Abílio M.P. De Jesus
Rui A.B. Calçada
A comparison between S-N Logistic and Kohout-Věchet formulations applied to the fatigue data of old metallic bridges materials
Fracture and Structural Integrity
Fatigue
Analytical modelling
Fatigue-life curve
Prediction
Logistic formulation
title A comparison between S-N Logistic and Kohout-Věchet formulations applied to the fatigue data of old metallic bridges materials
title_full A comparison between S-N Logistic and Kohout-Věchet formulations applied to the fatigue data of old metallic bridges materials
title_fullStr A comparison between S-N Logistic and Kohout-Věchet formulations applied to the fatigue data of old metallic bridges materials
title_full_unstemmed A comparison between S-N Logistic and Kohout-Věchet formulations applied to the fatigue data of old metallic bridges materials
title_short A comparison between S-N Logistic and Kohout-Věchet formulations applied to the fatigue data of old metallic bridges materials
title_sort comparison between s n logistic and kohout vechet formulations applied to the fatigue data of old metallic bridges materials
topic Fatigue
Analytical modelling
Fatigue-life curve
Prediction
Logistic formulation
url https://www.fracturae.com/index.php/fis/article/view/2229
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