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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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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.

Reference: LCF9-2022-001

Title: Improvement of the estimation of elastic-plastic stress states by a Machine-Learning-based correction factor for Neubers’ rule
Author(s): R. Wuthenow, F. Paysan, M. Wächter, A. Esderts
DOI: 10.48447/LCF9-2022-001
Event: LCF9 - Ninth International Conference on Low Cycle Fatigue
Year of publication: 2022
Publication type: conference paper (PDF)
Language: English
Keywords: machine learning,artificial neural networks,neuber rule,elastic plastic stress state,notch root approximation

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Author(s): J. Wang

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Author(s): B. Blinn, J. Tenkamp, F. Walther, T. Beck

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Author(s): H. Klingelhöffer

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Author(s): E. Gautier, B. Levieil, C. Doudard, S. Calloch, A. Ezanno

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Estimation of local plastic behaviour using Adjustable Localization Operator for Low Cycle Fatigue life prediction

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Author(s): A. Bermond, C. Roume, J. Stolarz, M. Lenci, J. F. Carton, H. Klocker

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Study of the damage evolution of G20Mn5 cast steel under low cycle fatigue

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Author(s): A. Gottwalt, U. Tetzlaff

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The role of edge surface quality on cyclic deformation behaviour of non-oriented electrical steel sheets

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Author(s): N. Sonntag, M. Jürgens, F. Roohbakhshan, L. A. Jácome, J. Olbricht

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Dwell-Fatigue and Cyclic Softening of Grade P92 steel under LCF and TMF Conditions

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Author(s): P. M. Pohl, I. Serrano-Munoz, H. Markötter, M. Göken, H. W. Höppel

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Toughening Mechanisms and Enhanced Damage Tolerant Fatigue Behaviour in Laminated Metal Composites

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Author(s): J. Tenkamp, F. Walther

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Cyclic deformation behaviour and fatigue damage tolerance in Al-Si-Mg cast alloy from LCF to HCF regime

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Author(s): D. Siebert, C. Radlbeck, M. Mensinger, J. Diller

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Influence of alloy and weld angle on the fatigue performance of aluminum structures

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Author(s): M. Bartošák, J. Horváth, O. Havlíček, M. Španiel

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Unified viscoplasticity modelling for isothermal low-cycle fatigue-creep, creep and thermo-mechanical fatigue of SiMo cast iron

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Author(s): M. Pelegatti, D. Benasciutti, F. De Bona, A. Lanzutti, E. Salvati, M. Sortino, J. S. Novak, F. Sordetti, G. Totis, E. Vaglio

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Low Cycle Fatigue Behaviour of an AISI 316L Stainless Steel Additively Manufactured by Laser Powder Bed Fusion (L-PBF)

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