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Improvement of the estimation of elastic-plastic stress states by a Machine-Learning-based correction factor for Neubers’ rule

When predicting fatigue life using the notch strain approach local stresses and strains need to be determined. Usually approximation formulas like Neubers’ rule, which are in terms of performance almost unbeatable, are used to determine load-notch strain relations. A second way to determine this relation is to perform FE-simulations with elastic-plastic material models, which lead to higher accuracies at the expense of long calculation times.

Artificial neural networks provide high performance and good accuracy on nonlinear relationships when successfully trained. The use and possibilities of this approach to improve the Neuber estimation of elastic-plastic stresses and strains in notch roots are presented and discussed in this paper.

In this research serval…

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When predicting fatigue life using the notch strain approach local stresses and strains need to be determined. Usually approximation formulas like Neubers’ rule, which are in terms of performance almost unbeatable, are used to determine load-notch strain relations. A second way to determine this relation is to perform FE-simulations with elastic-plastic material models, which lead to higher accuracies at the expense of long calculation times.

Artificial neural networks provide high performance and good accuracy on nonlinear relationships when successfully trained. The use and possibilities of this approach to improve the Neuber estimation of elastic-plastic stresses and strains in notch roots are presented and discussed in this paper.

In this research serval elastic-plastic, FE-simulations on simple geometries with varying cyclic material parameter values were performed to get training data with highest accuracy. Using this data, several feed-forward networks with varying hidden unit count and hidden layer count were trained and used to predict the local stress of more complex geometries. The resulting accuracy is compared to analytical approximation formulas and to the FE determined results.

The research finding confirm that artificial neural networks can map this nonlinear relationship. The tests on complex geometries show that it is possible in regards of accuracy to improve the good known Neubers’ rule. In regards of performance, it is shown that this approach surpasses the elastic-plastic FE-simulations.

In conclusion, artificial neural networks are capable of improving the approximation of local stresses and strains to higher accuracy while keeping high performance compared to elastic-plastic FE-simulations.

Artikelnummer
LCF9-2022-001

Titel
Improvement of the estimation of elastic-plastic stress states by a Machine-Learning-based correction factor for Neubers’ rule
Autor(en)
R. Wuthenow, F. Paysan, M. Wächter, A. Esderts
DOI
10.48447/LCF9-2022-001
Veranstaltung
LCF9 - Ninth International Conference on Low Cycle Fatigue
Jahr der Veröffentlichung
2022
Publikationsart
Tagungsmanuskript (PDF)
Sprache
Englisch
Stichwörter
machine learning,artificial neural networks,neuber rule,elastic plastic stress state,notch root approximation

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            [value] => Honeycomb sandwich structure,Fatigue disbond growth,SCB fatigue test,Constant energy release rate
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1
Determining the Fatigue Disbond Growth Rate of a CFRP/ Nomex® Sandwich Structure Using the Single Cantilever Beam Test – Comparison of Experimental Approaches
N. D'Antrassi, R. Schäuble, R. Schlimper
10.48447/LCF9-2022-075
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Honeycomb sandwich structure,Fatigue disbond growth,SCB fatigue test,Constant energy release rate
Preis 25,00 €
Nur online erhältlich
Harmonized modelling of low cycle fatigue life curves with temperature, dwell and strain rate variation
Autor(en): D. Jobski, S. Linn, C. Kontermann, M. Oechsner
10.48447/LCF9-2022-052
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
fatigue life curves,Manson Coffin,steam turbine,CX12CrMoVNbN9-1 (C91),creep-fatigue 
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1
Harmonized modelling of low cycle fatigue life curves with temperature, dwell and strain rate variation
Harmonized modelling of low cycle fatigue life curves with temperature, dwell and strain rate variation
D. Jobski, S. Linn, C. Kontermann, M. Oechsner
10.48447/LCF9-2022-052
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
fatigue life curves,Manson Coffin,steam turbine,CX12CrMoVNbN9-1 (C91),creep-fatigue 
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1
Harmonized modelling of low cycle fatigue life curves with temperature, dwell and strain rate variation
D. Jobski, S. Linn, C. Kontermann, M. Oechsner
10.48447/LCF9-2022-052
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
fatigue life curves,Manson Coffin,steam turbine,CX12CrMoVNbN9-1 (C91),creep-fatigue
Preis 25,00 €
Nur online erhältlich
Interaction between grain orientation and crack initiation and propagation of coarse-grained, anisotropic nickel-based alloys
Autor(en): P. Lion
10.48447/LCF9-2022-078
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch 
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Interaction between grain orientation and crack initiation and propagation of coarse-grained, anisotropic nickel-based alloys
Interaction between grain orientation and crack initiation and propagation of coarse-grained, anisotropic nickel-based alloys
P. Lion
10.48447/LCF9-2022-078
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch 
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1
Interaction between grain orientation and crack initiation and propagation of coarse-grained, anisotropic nickel-based alloys
P. Lion
10.48447/LCF9-2022-078
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Preis 25,00 €
Nur online erhältlich
Structural finite element analysis using material model with Prandtl operator approach
Autor(en): D. Šeruga, J. Klemenc, S. Oman, M. Nagode
10.48447/LCF9-2022-050
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
stress-strain modelling,elastoplastic response,Prandtl operator approach,finite element analysis 
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1
Structural finite element analysis using material model with Prandtl operator approach
Structural finite element analysis using material model with Prandtl operator approach
D. Šeruga, J. Klemenc, S. Oman, M. Nagode
10.48447/LCF9-2022-050
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
stress-strain modelling,elastoplastic response,Prandtl operator approach,finite element analysis 
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1
Structural finite element analysis using material model with Prandtl operator approach
D. Šeruga, J. Klemenc, S. Oman, M. Nagode
10.48447/LCF9-2022-050
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
stress-strain modelling,elastoplastic response,Prandtl operator approach,finite element analysis
Preis 25,00 €
Nur online erhältlich
Analysis of the cyclic deformation behavior of Al-Si-Mg castalloy within single phases by using cyclic indentation tests
Autor(en): B. Blinn, J. Tenkamp, F. Walther, T. Beck
10.48447/LCF9-2022-072
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Cyclic Indentation Tests,Defect Tolerance,Cyclic Deformation Behavior,AlSi7Mg0.3,Cyclic Hardening Potential 
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1
Analysis of the cyclic deformation behavior of Al-Si-Mg castalloy within single phases by using cyclic indentation tests
Analysis of the cyclic deformation behavior of Al-Si-Mg castalloy within single phases by using cyclic indentation tests
B. Blinn, J. Tenkamp, F. Walther, T. Beck
10.48447/LCF9-2022-072
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
Cyclic Indentation Tests,Defect Tolerance,Cyclic Deformation Behavior,AlSi7Mg0.3,Cyclic Hardening Potential 
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1
Analysis of the cyclic deformation behavior of Al-Si-Mg castalloy within single phases by using cyclic indentation tests
B. Blinn, J. Tenkamp, F. Walther, T. Beck
10.48447/LCF9-2022-072
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Cyclic Indentation Tests,Defect Tolerance,Cyclic Deformation Behavior,AlSi7Mg0.3,Cyclic Hardening Potential
Preis 25,00 €
Nur online erhältlich
Influence of new thermal and environmental barrier coating on the thermomechanical fatigue behaviour of nickel-base superalloy MAR-M247
Autor(en): I. Šulák, K. Obrtlík, L. Čelko
10.48447/LCF9-2022-105
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
In-Phase,Out-of-Phase,Nickel-based superalloy,Thermal and environmental barrier coating,High temperature fatigue 
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1
Influence of new thermal and environmental barrier coating on the thermomechanical fatigue behaviour of nickel-base superalloy MAR-M247
Influence of new thermal and environmental barrier coating on the thermomechanical fatigue behaviour of nickel-base superalloy MAR-M247
I. Šulák, K. Obrtlík, L. Čelko
10.48447/LCF9-2022-105
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
In-Phase,Out-of-Phase,Nickel-based superalloy,Thermal and environmental barrier coating,High temperature fatigue 
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1
Influence of new thermal and environmental barrier coating on the thermomechanical fatigue behaviour of nickel-base superalloy MAR-M247
I. Šulák, K. Obrtlík, L. Čelko
10.48447/LCF9-2022-105
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
In-Phase,Out-of-Phase,Nickel-based superalloy,Thermal and environmental barrier coating,High temperature fatigue
Preis 25,00 €
Nur online erhältlich
Direction- and path-independent DIC strain-field evaluation for uniaxial and biaxial fatigue crack growth investigations
Autor(en): F. Conrad, A. Blug, C. Kontermann, D. Regina, J. Kerl, A. Berz, D. Carl, M. Oechsner
10.48447/LCF9-2022-048
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Real-time DIC,Fatigue crack growth,Corner-crack and Cruciform specimen 
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1
Direction- and path-independent DIC strain-field evaluation for uniaxial and biaxial fatigue crack growth investigations
Direction- and path-independent DIC strain-field evaluation for uniaxial and biaxial fatigue crack growth investigations
F. Conrad, A. Blug, C. Kontermann, D. Regina, J. Kerl, A. Berz, D. Carl, M. Oechsner
10.48447/LCF9-2022-048
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
Real-time DIC,Fatigue crack growth,Corner-crack and Cruciform specimen 
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1
Direction- and path-independent DIC strain-field evaluation for uniaxial and biaxial fatigue crack growth investigations
F. Conrad, A. Blug, C. Kontermann, D. Regina, J. Kerl, A. Berz, D. Carl, M. Oechsner
10.48447/LCF9-2022-048
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Real-time DIC,Fatigue crack growth,Corner-crack and Cruciform specimen
Preis 25,00 €
Nur online erhältlich
Low Cycle Fatigue Behavior of Hot-Bent Basal Textured AZ31B Wrought Magnesium Alloy
Autor(en): A. Nischler, O. Huber, H. Saage
10.48447/LCF9-2022-054
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
low cycle fatigue,hot-bent uniaxial specimen,highly strained volume,twinnig,AZ31B 
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1
Low Cycle Fatigue Behavior of Hot-Bent Basal Textured AZ31B Wrought Magnesium Alloy
Low Cycle Fatigue Behavior of Hot-Bent Basal Textured AZ31B Wrought Magnesium Alloy
A. Nischler, O. Huber, H. Saage
10.48447/LCF9-2022-054
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
low cycle fatigue,hot-bent uniaxial specimen,highly strained volume,twinnig,AZ31B 
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1
Low Cycle Fatigue Behavior of Hot-Bent Basal Textured AZ31B Wrought Magnesium Alloy
A. Nischler, O. Huber, H. Saage
10.48447/LCF9-2022-054
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
low cycle fatigue,hot-bent uniaxial specimen,highly strained volume,twinnig,AZ31B
Preis 25,00 €
Nur online erhältlich
Fatigue life assessment and modelling of the cyclic material behaviour of a high strength martensitic steel
Autor(en): F. Himmelbauer, B. T. Seisenbacher, G. Winter, F. Grün
10.48447/LCF9-2022-016
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Fatigue life assessment,Residual stress development,Material modelling,Martensitic steel,LCF 
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1
Fatigue life assessment and modelling of the cyclic material behaviour of a high strength martensitic steel
Fatigue life assessment and modelling of the cyclic material behaviour of a high strength martensitic steel
F. Himmelbauer, B. T. Seisenbacher, G. Winter, F. Grün
10.48447/LCF9-2022-016
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
Fatigue life assessment,Residual stress development,Material modelling,Martensitic steel,LCF 
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1
Fatigue life assessment and modelling of the cyclic material behaviour of a high strength martensitic steel
F. Himmelbauer, B. T. Seisenbacher, G. Winter, F. Grün
10.48447/LCF9-2022-016
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Fatigue life assessment,Residual stress development,Material modelling,Martensitic steel,LCF
Preis 25,00 €
Nur online erhältlich
In situ cyclic tests combined with high resolution digital correlation of 316L steel from additive manufacturing.
Autor(en): S. Collomb, E. Charkaluk, A. Constantinescu, S. Hallais
10.48447/LCF9-2022-096
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Additive-manufacturing,in-situ,multi-scale,316L steel,HR-DIC 
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1
In situ cyclic tests combined with high resolution digital correlation of 316L steel from additive manufacturing.
In situ cyclic tests combined with high resolution digital correlation of 316L steel from additive manufacturing.
S. Collomb, E. Charkaluk, A. Constantinescu, S. Hallais
10.48447/LCF9-2022-096
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
Additive-manufacturing,in-situ,multi-scale,316L steel,HR-DIC 
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1
In situ cyclic tests combined with high resolution digital correlation of 316L steel from additive manufacturing.
S. Collomb, E. Charkaluk, A. Constantinescu, S. Hallais
10.48447/LCF9-2022-096
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Additive-manufacturing,in-situ,multi-scale,316L steel,HR-DIC
Preis 25,00 €
Nur online erhältlich
Strain-based life assessment of components made of ductile cast iron
Autor(en): J. Wang
10.48447/LCF9-2022-047
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
LCF,ductile cast iron,Uniform Material Law,damage parameter 
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1
Strain-based life assessment of components made of ductile cast iron
Strain-based life assessment of components made of ductile cast iron
J. Wang
10.48447/LCF9-2022-047
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
LCF,ductile cast iron,Uniform Material Law,damage parameter 
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1
Strain-based life assessment of components made of ductile cast iron
J. Wang
10.48447/LCF9-2022-047
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
LCF,ductile cast iron,Uniform Material Law,damage parameter
Preis 25,00 €
Nur online erhältlich
Autor(en): M. Okazaki
10.48447/LCF9-2022-015
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Fretting fatigue,Heat Resisting Alloys,Temperature,Tangential force 
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1
Fretting Fatigue Lives of Heat Resisting Alloys Closely Relating to Temperature.
M. Okazaki
10.48447/LCF9-2022-015
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Publikationsart: Tagungsmanuskript (PDF)
Englisch
Fretting fatigue,Heat Resisting Alloys,Temperature,Tangential force 
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1
M. Okazaki
10.48447/LCF9-2022-015
LCF9 - Ninth International Conference on Low Cycle Fatigue
2022
Tagungsmanuskript (PDF)
Englisch
Fretting fatigue,Heat Resisting Alloys,Temperature,Tangential force
Preis 25,00 €
Nur online erhältlich