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Statistical method and associated non-linear cumulative model for fatigue nuclear applications

The nuclear industry requires a very high level of safety and therefore in-depth knowledge of the damages that may affect its components. The issue to extend the power plants operational lifespans thus raises the question of improving fatigue damage prediction.

The French codified nuclear methods used to assess fatigue damage are mainly based on deterministic methods [1]. However, it has been proven that on a macroscopic level, the fatigue process is of an uncertain nature: same load level on fatigue tests can lead to a varying number of cycles before failure [2]. To take into account uncertainties, probabilistic models are developed and can be used to quantify the error margin which cannot be estimated by the deterministic methods.

This study thus aims at…

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The nuclear industry requires a very high level of safety and therefore in-depth knowledge of the damages that may affect its components. The issue to extend the power plants operational lifespans thus raises the question of improving fatigue damage prediction.

The French codified nuclear methods used to assess fatigue damage are mainly based on deterministic methods [1]. However, it has been proven that on a macroscopic level, the fatigue process is of an uncertain nature: same load level on fatigue tests can lead to a varying number of cycles before failure [2]. To take into account uncertainties, probabilistic models are developed and can be used to quantify the error margin which cannot be estimated by the deterministic methods.

This study thus aims at developing a probabilistic fatigue model based on a database of fatigue tests. The dataset comprises 130 tests conducted on standardized specimens and on constant amplitude strain-controlled fatigue with a strain ratio of R= -1. They were performed on a large range of strain amplitude (0.15%-1%). In addition, two-level fatigue tests are also used to validate the model on non-linear fatigue damage cumulation. 

The proposed model is built on top of a classical Langer fatigue curve summed with an uncertainty term symbolized by an unknown random variable. Similar approaches exist in the literature: in [2], the dependance of the random variable to the strain level is modelized by another independent random variable multiplied by a factor that is a function of the strain level. The novelty of the presented model lies in the use of a partially linear function as the dependance function. Indeed, measurements of the conditional standard deviation indicates that the dispersion of fatigue only varies once the deformation loading is inferior to a given threshold. 

A statistical method using the distribution of the deterministic error above and below the threshold is therefore proposed to both calibrate the model parameters and to validate the hypotheses that were used to build the model. The Figure 1 compares the used dataset to the identified model.

To use the model in a reliability analysis, the protocol introduced by [3] is adapted to the studied model. The approach relies on two hypotheses. Firstly, the uncertainty of an experiment only comes from the initial state of the specimen. Secondly, all the fatigue damage applied to the specimen is a deterministic function of the current state of the specimen and of the strain amplitude of the fatigue loading. Combined with the hypotheses, the presence of the dependance function leads to a non-linear cumulative model based on a health decrease concept as shown in Figure 2. The non-linear effects of the resulting model are compatible to phenomenon observed in two-level fatigue tests [4]. The cumulative model is finally tested on the two-level fatigue results.

Artikelnummer
VAL5-2024-036

Titel
Statistical method and associated non-linear cumulative model for fatigue nuclear applications
Autor(en)
T. Lecleve, S. Courtin, F. Szmytka, C. Mai
DOI
10.48447/VAL5-2024-036
Veranstaltung
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
Jahr der Veröffentlichung
2024
Publikationsart
Tagungsmanuskript (PDF)
Sprache
Englisch
Stichwörter
Nuclear industry,Probabilistic models and methods,Amplitude-dependant models,Nonlinear cumulative damage

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Fatigue behaviour of specimen and rotor lamellas of non-grain oriented electrical steel under constant and variable amplitude loading
Fatigue behaviour of specimen and rotor lamellas of non-grain oriented electrical steel under constant and variable amplitude loading
P. Schwarz, P. Häfele, T. Langlois
10.48447/VAL5-2024-026
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
electrical steel strip,Variable amplitude fatigue,cut-edge,notch influence,real damage sum 
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1
Fatigue behaviour of specimen and rotor lamellas of non-grain oriented electrical steel under constant and variable amplitude loading
P. Schwarz, P. Häfele, T. Langlois
10.48447/VAL5-2024-026
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
electrical steel strip,Variable amplitude fatigue,cut-edge,notch influence,real damage sum
Preis 25,00 €
Nur online erhältlich
Simulation-based lifetime prediction for cables
Autor(en): F. Schneider-Jung, M. Speckert, K. Dreßler
10.48447/VAL5-2024-023
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Cable Simulation,Lifetime Prediction,SN Curves 
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Simulation-based lifetime prediction for cables
Simulation-based lifetime prediction for cables
F. Schneider-Jung, M. Speckert, K. Dreßler
10.48447/VAL5-2024-023
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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Simulation-based lifetime prediction for cables
F. Schneider-Jung, M. Speckert, K. Dreßler
10.48447/VAL5-2024-023
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Cable Simulation,Lifetime Prediction,SN Curves
Preis 25,00 €
Nur online erhältlich
Accelerated vibration-fatigue characterization for 3D-printed structures: Application to fused-filament-fabricated PLA samples
Autor(en): M. Česnik, J. Slavič, M. Boltežar
10.48447/VAL5-2024-028
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Accelerated fatigue test,Random-signal excitation,Specimen design,Fused filament fabrication 
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Accelerated vibration-fatigue characterization for 3D-printed structures: Application to fused-filament-fabricated PLA samples
Accelerated vibration-fatigue characterization for 3D-printed structures: Application to fused-filament-fabricated PLA samples
M. Česnik, J. Slavič, M. Boltežar
10.48447/VAL5-2024-028
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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1
Accelerated vibration-fatigue characterization for 3D-printed structures: Application to fused-filament-fabricated PLA samples
M. Česnik, J. Slavič, M. Boltežar
10.48447/VAL5-2024-028
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Accelerated fatigue test,Random-signal excitation,Specimen design,Fused filament fabrication
Preis 25,00 €
Nur online erhältlich
Automatic operating state identification from load time series through unsupervised learning and fatigue damage regression
Autor(en): J. Riebe, P. Hantschke, A. Griesing, M. Kästner
10.48447/VAL5-2024-017
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
load assumption,unsupervised machine learning,fatigue damage,operating state,label machine 
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Automatic operating state identification from load time series through unsupervised learning and fatigue damage regression
J. Riebe, P. Hantschke, A. Griesing, M. Kästner
10.48447/VAL5-2024-017
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
load assumption,unsupervised machine learning,fatigue damage,operating state,label machine 
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1
Automatic operating state identification from load time series through unsupervised learning and fatigue damage regression
J. Riebe, P. Hantschke, A. Griesing, M. Kästner
10.48447/VAL5-2024-017
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
load assumption,unsupervised machine learning,fatigue damage,operating state,label machine
Preis 25,00 €
Nur online erhältlich
Non-stationary vibration loading - Assessing its effects on structural dynamics and vibration fatigue
Autor(en): A. Trapp, P. Wolfsteiner
10.48447/VAL5-2024-053
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
structural dynamics,non-stationarity matrix,non-stationary vibration loading,random vibration fatigue 
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1
Non-stationary vibration loading - Assessing its effects on structural dynamics and vibration fatigue
Non-stationary vibration loading - Assessing its effects on structural dynamics and vibration fatigue
A. Trapp, P. Wolfsteiner
10.48447/VAL5-2024-053
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
structural dynamics,non-stationarity matrix,non-stationary vibration loading,random vibration fatigue 
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Non-stationary vibration loading - Assessing its effects on structural dynamics and vibration fatigue
A. Trapp, P. Wolfsteiner
10.48447/VAL5-2024-053
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
structural dynamics,non-stationarity matrix,non-stationary vibration loading,random vibration fatigue
Preis 25,00 €
Nur online erhältlich
Fatigue life estimation of notched components under multiaxial non-proportional loading with variable amplitudes.
Autor(en): J. Kraft, M. Vormwald
10.48447/VAL5-2024-035
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
multiaxial fatigue,critical plane,notches 
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Fatigue life estimation of notched components under multiaxial non-proportional loading with variable amplitudes.
Fatigue life estimation of notched components under multiaxial non-proportional loading with variable amplitudes.
J. Kraft, M. Vormwald
10.48447/VAL5-2024-035
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
multiaxial fatigue,critical plane,notches 
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1
Fatigue life estimation of notched components under multiaxial non-proportional loading with variable amplitudes.
J. Kraft, M. Vormwald
10.48447/VAL5-2024-035
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
multiaxial fatigue,critical plane,notches
Preis 25,00 €
Nur online erhältlich
Dynamic fatigue analysis of a welded joints under sequential and simultaneous multi-axial random PSD loading
Autor(en): A. Halfpenny, S. Vervoort
10.48447/VAL5-2024-027
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
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Dynamic fatigue analysis of a welded joints under sequential and simultaneous multi-axial random PSD loading
Dynamic fatigue analysis of a welded joints under sequential and simultaneous multi-axial random PSD loading
A. Halfpenny, S. Vervoort
10.48447/VAL5-2024-027
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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1
Dynamic fatigue analysis of a welded joints under sequential and simultaneous multi-axial random PSD loading
A. Halfpenny, S. Vervoort
10.48447/VAL5-2024-027
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Fatigue,vibration,multiaxial,spot weld,battery pack
Preis 25,00 €
Nur online erhältlich
Fatigue strength assessment of tube-to-flange welded steel joints with reinforcement ribs under variable amplitude loadings according to the Peak Stress Method
Autor(en): A. Visentin, A. Campagnolo, V. Babini, G. Meneghetti
10.48447/VAL5-2024-052
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
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Fatigue strength assessment of tube-to-flange welded steel joints with reinforcement ribs under variable amplitude loadings according to the Peak Stress Method
Fatigue strength assessment of tube-to-flange welded steel joints with reinforcement ribs under variable amplitude loadings according to the Peak Stress Method
A. Visentin, A. Campagnolo, V. Babini, G. Meneghetti
10.48447/VAL5-2024-052
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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1
Fatigue strength assessment of tube-to-flange welded steel joints with reinforcement ribs under variable amplitude loadings according to the Peak Stress Method
A. Visentin, A. Campagnolo, V. Babini, G. Meneghetti
10.48447/VAL5-2024-052
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Steel welded joints,Variable Amplitude loads,Fatigue testing,Peak Stress Method,Automated fatigue strength assessment
Preis 25,00 €
Nur online erhältlich
A fatigue damage assessment approach in vibration fatigue exploiting the static approach
Autor(en): M. Palmieri, G. Morettini, G. Zucca, F. Cianetti, C. Braccesi
10.48447/VAL5-2024-054
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Multibody Dynamics,Rigid Body Modeling,Frequency Domain Analysis,Fatigue Damage Evaluation,Random Loading Conditions 
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1
A fatigue damage assessment approach in vibration fatigue exploiting the static approach
A fatigue damage assessment approach in vibration fatigue exploiting the static approach
M. Palmieri, G. Morettini, G. Zucca, F. Cianetti, C. Braccesi
10.48447/VAL5-2024-054
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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A fatigue damage assessment approach in vibration fatigue exploiting the static approach
M. Palmieri, G. Morettini, G. Zucca, F. Cianetti, C. Braccesi
10.48447/VAL5-2024-054
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Multibody Dynamics,Rigid Body Modeling,Frequency Domain Analysis,Fatigue Damage Evaluation,Random Loading Conditions
Preis 25,00 €
Nur online erhältlich
A Comparative Analysis: Time vs. Frequency Domain Definitions of the Fatemi-Socie Criterion
Autor(en): A. Niesłony, M. Böhm, M. Sgamma, A. Chiocca, F. Bucchi, F. Frendo
10.48447/VAL5-2024-037
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
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A. Niesłony, M. Böhm, M. Sgamma, A. Chiocca, F. Bucchi, F. Frendo
10.48447/VAL5-2024-037
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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A Comparative Analysis: Time vs. Frequency Domain Definitions of the Fatemi-Socie Criterion
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10.48447/VAL5-2024-037
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
Fatemi-Socie criterion,frequency domain,vibration fatigue,multiaxial fatigue
Preis 25,00 €
Nur online erhältlich
An efficient algorithm for critical plane search in random multiaxial fatigue based on Maximum Variance Method, 3D matrices and Hadamard’s element-wise product.
Autor(en): D. Benasciutti
10.48447/VAL5-2024-006
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
random loading,critical plane,maximum variance 
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An efficient algorithm for critical plane search in random multiaxial fatigue based on Maximum Variance Method, 3D matrices and Hadamard’s element-wise product.
An efficient algorithm for critical plane search in random multiaxial fatigue based on Maximum Variance Method, 3D matrices and Hadamard’s element-wise product.
D. Benasciutti
10.48447/VAL5-2024-006
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
random loading,critical plane,maximum variance 
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An efficient algorithm for critical plane search in random multiaxial fatigue based on Maximum Variance Method, 3D matrices and Hadamard’s element-wise product.
D. Benasciutti
10.48447/VAL5-2024-006
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
random loading,critical plane,maximum variance
Preis 25,00 €
Nur online erhältlich
Fatigue analysis of random variable loads acting on wheels for special off-highway applications from experimental data
Autor(en): L. Solazzi, A. Mazzoni, N. Danzi, M. Cima
10.48447/VAL5-2024-022
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
random fatigue,damage counting,wheel,stress acquisition 
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Fatigue analysis of random variable loads acting on wheels for special off-highway applications from experimental data
Fatigue analysis of random variable loads acting on wheels for special off-highway applications from experimental data
L. Solazzi, A. Mazzoni, N. Danzi, M. Cima
10.48447/VAL5-2024-022
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Publikationsart: Tagungsmanuskript (PDF)
Englisch
random fatigue,damage counting,wheel,stress acquisition 
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Fatigue analysis of random variable loads acting on wheels for special off-highway applications from experimental data
L. Solazzi, A. Mazzoni, N. Danzi, M. Cima
10.48447/VAL5-2024-022
VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
2024
Tagungsmanuskript (PDF)
Englisch
random fatigue,damage counting,wheel,stress acquisition
Preis 25,00 €
Nur online erhältlich