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Comparative Evaluation of Machine Learning Models and Super Ellipse Criterion for Fatigue Life Prediction of Welded Joints under Multiaxial Loading

Fatigue life evaluation of welded joints under multiaxial loading presents a significant challenge in structural engineering, requiring accurate prediction methods to ensure safety and reliability. This study compares various machine learning (ML) approaches to state-of-the-art design criteria and the extended Gough-Pollard criterion for assessing the fatigue life of welded joints. A comprehensive dataset comprising uniaxial fatigue test results under nominal and shear loading, as well as multiaxial fatigue test data with varying phase angles, forms the basis of the analysis. The ML models are trained to predict fatigue life using a diverse set of features derived from stress amplitudes, phase differences, and material properties. State-of-the-art design criteria from standards such as…

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Fatigue life evaluation of welded joints under multiaxial loading presents a significant challenge in structural engineering, requiring accurate prediction methods to ensure safety and reliability. This study compares various machine learning (ML) approaches to state-of-the-art design criteria and the extended Gough-Pollard criterion for assessing the fatigue life of welded joints. A comprehensive dataset comprising uniaxial fatigue test results under nominal and shear loading, as well as multiaxial fatigue test data with varying phase angles, forms the basis of the analysis. The ML models are trained to predict fatigue life using a diverse set of features derived from stress amplitudes, phase differences, and material properties. State-of-the-art design criteria from standards such as Eurocode 3 and the International Institute of Welding and the extended Gough-Pollard criterion, a novel analytical method, serves as a benchmark for evaluating ML performance.

ML methods offer a promising alternative to computational science-based methods, as ML methods are particularly adept at capturing and modeling complex data interactions. The potential of ML has been demonstrated in numerous studies; nevertheless, significant differences exist between ML models. Traditional ML models are statistical in nature, focusing on the identification of patterns within the data, whereas neural networks learn to approximate complex relationships in data by adjusting weights in a layered structure, using nonlinear activation functions to capture both simple and intricate patterns. Both approaches offer distinct advantages. Neural networks, as purely black-box models, often achieve higher accuracy compared to traditional ML methods; however, models that leverage data patterns directly tend to be more interpretable, enabling reliable interpretation of results and uncovering hidden correlations within the data.

This study, thus, aims to investigate the potential of different ML methods for modeling the multiaxial fatigue behavior of welded joints. The research specifically seeks to analyze data interactions leading to the fatigue life predictions, compare the results with assessments from guidelines, and assess the interpretability and effectiveness of these methods in providing insights into complex fatigue phenomena. Beyond neural networks, the study also employs the ensemble tree-based algorithm, Extreme Gradient Boosting (XGBoost), to predict fatigue life based on multiaxial fatigue test data from welded joints, with the resulting predictions being compared. To facilitate model-agnostic interpretation of the XGBoost predictions, the Shapley Additive Explanations (SHAP) framework is utilized.

Results demonstrate the potential of data-driven approaches to outperform traditional criteria in capturing complex multiaxial loading effects, particularly under non-proportional loading conditions; however, ML models face prediction challenges at the borders of the training data space. This work highlights the advantages and limitations of ML models for fatigue life prediction and provides insights into their application to enhance the reliability of welded structures subjected to multiaxial stresses.

Artikelnummer
ICMFF14-2025-40

Titel
Comparative Evaluation of Machine Learning Models and Super Ellipse Criterion for Fatigue Life Prediction of Welded Joints under Multiaxial Loading
Autor(en)
M. Beiler, N. M. Bauer, J. Baumgartner, M. Braun
DOI
10.48447/ICMFF14-2025-40
Veranstaltung
14. International Conference on Multiaxial Fatigue and Fracture 2025
Jahr der Veröffentlichung
2025
Publikationsart
Tagungsmanuskript (PDF)
Sprache
Englisch
Stichwörter
Fatigue strength assessment,Multiaxial fatigue,Artificial neural network,Extreme gradient boosting,Explainable AI

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New tests and multiaxial fatigue modeling of steels with different small defects
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The Use of Polar Damage Sum Concept for Calculating Mean Stress Effect in Multiaxial Fatigue Loading Conditions
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Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part II: Phase field modelling of crack propagation
Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part II: Phase field modelling of crack propagation
A. Gibb, A. Tsakmakis, M. Vormwald
10.48447/ICMFF14-2025-59
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
Plasticity,Phase Field,Multi-axial,Fatigue,Damage 
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A. Gibb, A. Tsakmakis, M. Vormwald
10.48447/ICMFF14-2025-59
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Plasticity,Phase Field,Multi-axial,Fatigue,Damage
Preis 25,00 €
Nur online erhältlich Neu
Fatigue assessment of structural components through the Effective Critical Plane approach: methodology and applications
Autor(en): A. Chiocca, F. Frendo, M. Sgamma
10.48447/ICMFF14-2025-25
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
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Fatigue assessment of structural components through the Effective Critical Plane approach: methodology and applications
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A. Chiocca, F. Frendo, M. Sgamma
10.48447/ICMFF14-2025-25
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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A. Chiocca, F. Frendo, M. Sgamma
10.48447/ICMFF14-2025-25
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Structural integrity,Critical plane methods,Multiaxial loading,Fatigue assessment,Effective Critical Plane approach
Preis 25,00 €
Nur online erhältlich Neu
Fatigue assessment of welded component like specimens at 300 °C under variable amplitude loading considering multiaxiality with strain- and energy-based fatigue damage parameters
Autor(en): G. Veile, J. Lotz, J. Rudolph, S. Weihe
10.48447/ICMFF14-2025-04
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
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G. Veile, J. Lotz, J. Rudolph, S. Weihe
10.48447/ICMFF14-2025-04
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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G. Veile, J. Lotz, J. Rudolph, S. Weihe
10.48447/ICMFF14-2025-04
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Fatigue,Multiaxiality,Variable amplitude loading,FEM,weld
Preis 25,00 €
Nur online erhältlich Neu
A Maximum-Damage Critical Plane Formulation considering Peak Deviatoric Stress Effects
Autor(en): M.A. Meggiolaro, J. T.P. Castro, H. Wu
10.48447/ICMFF14-2025-32
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Critical plane,Mean stress effects,Deviatoric damage parameter,Smith-Watson-Topper,Fatemi-Socie 
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A Maximum-Damage Critical Plane Formulation considering Peak Deviatoric Stress Effects
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M.A. Meggiolaro, J. T.P. Castro, H. Wu
10.48447/ICMFF14-2025-32
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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10.48447/ICMFF14-2025-32
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Critical plane,Mean stress effects,Deviatoric damage parameter,Smith-Watson-Topper,Fatemi-Socie
Preis 25,00 €
Nur online erhältlich Neu
Data-Driven Approach to Statistical-Based Fatigue Predictions of the Findley Criterion
Autor(en): A. Trapp, K. Rother
10.48447/ICMFF14-2025-47
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Non-Proportional Stresses,Random Vibration Loading,Data-Driven Approach,Non-Stationary Loading,Modal Approach 
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A. Trapp, K. Rother
10.48447/ICMFF14-2025-47
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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1
Data-Driven Approach to Statistical-Based Fatigue Predictions of the Findley Criterion
A. Trapp, K. Rother
10.48447/ICMFF14-2025-47
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Non-Proportional Stresses,Random Vibration Loading,Data-Driven Approach,Non-Stationary Loading,Modal Approach
Preis 25,00 €
Nur online erhältlich Neu
Fatigue strength assessment of different materials under variable amplitude loadings with the Findley damage parameter
Autor(en): C. Fällgren, M. Vormwald
10.48447/ICMFF14-2025-01
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Multiaxial fatigue,Findley parameter,critical plane method,variable amplitude loading,FKM-guideline 
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Fatigue strength assessment of different materials under variable amplitude loadings with the Findley damage parameter
Fatigue strength assessment of different materials under variable amplitude loadings with the Findley damage parameter
C. Fällgren, M. Vormwald
10.48447/ICMFF14-2025-01
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
Multiaxial fatigue,Findley parameter,critical plane method,variable amplitude loading,FKM-guideline 
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1
Fatigue strength assessment of different materials under variable amplitude loadings with the Findley damage parameter
C. Fällgren, M. Vormwald
10.48447/ICMFF14-2025-01
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Multiaxial fatigue,Findley parameter,critical plane method,variable amplitude loading,FKM-guideline
Preis 25,00 €
Nur online erhältlich Neu
Modeling of small fatigue crack growth under multiaxial stress conditions
Autor(en): N. Santos, R. Costa, F. Castro
10.48447/ICMFF14-2025-22
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
small crack growth,fatigue life,small defect,multiaxial fatigue 
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1
Modeling of small fatigue crack growth under multiaxial stress conditions
Modeling of small fatigue crack growth under multiaxial stress conditions
N. Santos, R. Costa, F. Castro
10.48447/ICMFF14-2025-22
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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Modeling of small fatigue crack growth under multiaxial stress conditions
N. Santos, R. Costa, F. Castro
10.48447/ICMFF14-2025-22
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
small crack growth,fatigue life,small defect,multiaxial fatigue
Preis 25,00 €
Nur online erhältlich Neu
Numerical Analysis of Defect Population Influence on the Multiaxial High-cycle Fatigue Strength Anisotropy of Ti64 Manufactured by Laser Powder Bed Fusion (L-PBF)
Autor(en): S.S. Penkulinti, N. Saintier, M. Bonneric, B. Verquin, T. Palin-Luc, F. Lefebvre
10.48447/ICMFF14-2025-61
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Laser Powder Bed Fusion (L-PBF),Defects,High-cycle Fatigue,Finite Element Analysis 
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Numerical Analysis of Defect Population Influence on the Multiaxial High-cycle Fatigue Strength Anisotropy of Ti64 Manufactured by Laser Powder Bed Fusion (L-PBF)
Numerical Analysis of Defect Population Influence on the Multiaxial High-cycle Fatigue Strength Anisotropy of Ti64 Manufactured by Laser Powder Bed Fusion (L-PBF)
S.S. Penkulinti, N. Saintier, M. Bonneric, B. Verquin, T. Palin-Luc, F. Lefebvre
10.48447/ICMFF14-2025-61
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
Laser Powder Bed Fusion (L-PBF),Defects,High-cycle Fatigue,Finite Element Analysis 
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Numerical Analysis of Defect Population Influence on the Multiaxial High-cycle Fatigue Strength Anisotropy of Ti64 Manufactured by Laser Powder Bed Fusion (L-PBF)
S.S. Penkulinti, N. Saintier, M. Bonneric, B. Verquin, T. Palin-Luc, F. Lefebvre
10.48447/ICMFF14-2025-61
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Laser Powder Bed Fusion (L-PBF),Defects,High-cycle Fatigue,Finite Element Analysis
Preis 25,00 €
Nur online erhältlich Neu
Fatigue assessment of additively manufactured V-notched Ti6Al4V engineering components under multiaxial stress state in high-cycle regime: a novel approach
Autor(en): S. Vantadori, A. Carpinteri, C. Ronchei, D. Scorza, A. Zanichelli
10.48447/ICMFF14-2025-55
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
critical distance,porosity,surface roughness,Ti6Al4V,V-notch 
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Fatigue assessment of additively manufactured V-notched Ti6Al4V engineering components under multiaxial stress state in high-cycle regime: a novel approach
Fatigue assessment of additively manufactured V-notched Ti6Al4V engineering components under multiaxial stress state in high-cycle regime: a novel approach
S. Vantadori, A. Carpinteri, C. Ronchei, D. Scorza, A. Zanichelli
10.48447/ICMFF14-2025-55
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
critical distance,porosity,surface roughness,Ti6Al4V,V-notch 
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Fatigue assessment of additively manufactured V-notched Ti6Al4V engineering components under multiaxial stress state in high-cycle regime: a novel approach
S. Vantadori, A. Carpinteri, C. Ronchei, D. Scorza, A. Zanichelli
10.48447/ICMFF14-2025-55
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
critical distance,porosity,surface roughness,Ti6Al4V,V-notch
Preis 25,00 €
Nur online erhältlich Neu
Crack growth behavior of steel S235 under proportional and non-proportional fatigue loading
Autor(en): P. Zerres, M. Vormwald
10.48447/ICMFF14-2025-15
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
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Crack growth behavior of steel S235 under proportional and non-proportional fatigue loading
Crack growth behavior of steel S235 under proportional and non-proportional fatigue loading
P. Zerres, M. Vormwald
10.48447/ICMFF14-2025-15
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
fracture mechanics,fatigue crack growth,non-proportional loading 
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Crack growth behavior of steel S235 under proportional and non-proportional fatigue loading
P. Zerres, M. Vormwald
10.48447/ICMFF14-2025-15
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
fracture mechanics,fatigue crack growth,non-proportional loading
Preis 25,00 €
Nur online erhältlich Neu
Multiaxial Fatigue Life Prediction based on Complex Invariants Compared to Critical Cutting Plane Approaches
Autor(en): W. C. Hübsch, C. Gaier
10.48447/ICMFF14-2025-11
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Equivalent stress,Multiaxiality,fatigue analysis 
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Multiaxial Fatigue Life Prediction based on Complex Invariants Compared to Critical Cutting Plane Approaches
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W. C. Hübsch, C. Gaier
10.48447/ICMFF14-2025-11
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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Multiaxial Fatigue Life Prediction based on Complex Invariants Compared to Critical Cutting Plane Approaches
W. C. Hübsch, C. Gaier
10.48447/ICMFF14-2025-11
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Equivalent stress,Multiaxiality,fatigue analysis
Preis 25,00 €
Nur online erhältlich Neu
Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part I: Modelling of deformation-induced plastic anisotropy
Autor(en): A. Gibb, A. Tsakmakis, M. Vormwald
10.48447/ICMFF14-2025-58
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Plasticity,Phase Field,Multi-axial,Damage,Fatigue 
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Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part I: Modelling of deformation-induced plastic anisotropy
Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part I: Modelling of deformation-induced plastic anisotropy
A. Gibb, A. Tsakmakis, M. Vormwald
10.48447/ICMFF14-2025-58
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Publikationsart: Tagungsmanuskript (PDF)
Englisch
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Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part I: Modelling of deformation-induced plastic anisotropy
A. Gibb, A. Tsakmakis, M. Vormwald
10.48447/ICMFF14-2025-58
14. International Conference on Multiaxial Fatigue and Fracture 2025
2025
Tagungsmanuskript (PDF)
Englisch
Plasticity,Phase Field,Multi-axial,Damage,Fatigue
Preis 25,00 €
Nur online erhältlich Neu