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Licensed Unlicensed Requires Authentication Published by De Gruyter August 18, 2021

Evaluation of S-N curves including failure probabilities using short-time procedures

  • Ruth Acosta

    M.Sc. Ruth Acosta, born in 1988, studied Civil Engineering at Universidad Centroamericana José Simeón Cañas in San Salvador, El Salvador and received a Master of Science in Non Destructive Testing at the Dresden International University in Germany. Since 2017, she has been working as Research Associate at the Chair of NDT and quality assurance at Saarland University in Saarbrücken, Germany, where she has also been studying for her PhD. She also worked as Research Associate at the University of Applied Sciences Kaiserslautern from 2018 to 2020. Her research is mainly focused on the use of non-destructive methods for the characterization and detection of defects in metallic materials.

    , Christian Boller

    Prof. Dr.-Ing. Christian Boller, born in 1954, graduated from the Technische Hochschule (now Technische Universität) Darmstadt/Germany in Structural Engineering (Civil Engineering) in 1980 and received a Doctoral degree at the same institution in Materials Mechanics in 1987. He then worked with institutions like Battelle, Daimler and MBB (today Airbus) where he became the Chief Engineer for Structures in the military aircraft division. In 2003, he was appointed Full Professor in Smart Structural Design at the University of Sheffield/UK and took over the chair of NDT and quality assurance at Saarland University in 2008, which he still holds. He has published more than 300 scientific papers, reports and books, has been the Scientific Director of the NDT master course at Dresden International University since 2013, a Visiting Professor at the Nanjing University of Aeronautics and Astronautics (NUAA) in Nanjing/China since 2014 and Member of various Editorial and Scientific Boards.

    , Markus Doktor

    Dipl.-Math. Markus Doktor, born 1988, studied Mathematics and Computer Science at the University of Kaiserslautern, the Université Joseph Fourier Grenoble III (now part of Univ. de Grenoble) and École Nationale Supérieure d’Informatique et de Mathemaique Appliquées, part of Institute Polytechnique de Grenoble, France. He specialized in mathematical statistics, graduated 2013 and started working in interdisciplinary research groups focusing on nonparametric as well as robust statistics and its application. He worked in various research and industry projects related to non-destructive testing in civil engineering and material characterization, especially steel constructions. He is currently finalizing his PhD and has been Head of the Data and Data Analytics Team in his department at PwC Germany since mid-2020.

    , Haoran Wu

    M.Sc. Haoran Wu, born in 1988, studied Materials Science and Engineering at Tianjin University, China and Saarland University in Saarbrücken, Germany. After that, he received his Master’s degree at Saarland University in 2016 and worked at the Chair of Nondestructive Testing and Quality Assurance (LZfPQ), where he finished his by DGZfP (The German Society for Non-Destructive Testing) rewarded master’s thesis. From 2016 to 2018 he was a Research Associate at LZfPQ, where he is currently completing his PhD. 2018 he transferred to the Department of Materials Science and Materials Testing at the University of Applied Sciences Kaiserslautern. He is currently working with a focus on NDT methods in fatigue.

    , Hanna Jost

    B.Eng. Hanna Jost, born in 1995, trained as a Materials Tester. She completed her Bachelor’s degree at the University of Applied Sciences Kaiserslautern and is currently continuing her studies at the TU Kaiserslautern.

    , Fabian Weber

    M.Sc. Fabian Weber, born in 1995, studied Materials Science at Saarland University and graduated in 2021. Since then, he has been working as a Research Assistant at the Department of Materials Science and Materials Testing at University of Applied Sciences Kaiserslautern.

    and Peter Starke

    Prof. Priv.-Doz. Dr.-Ing. habil. Peter Starke, born in 1977, studied Mechanical Engineering at TU Kaiserslautern, Germany. Since 2002 he has been a Research Assistant at the Institute of Materials Science and Engineering (WKK) at TU Kaiserslautern, Germany. He received his Engineering Doctoral degree in 2007 working on “The fatigue life calculation of metallic materials under constant amplitude loading and service loading”. From 2007 to 2012 he headed the research group “Fatigue life calculation” at WKK. Afterwards, he transferred to Fraunhofer IZFP in Saarbrücken, Germany. From 2013 to 2018 he had the position of a Senior Research Associate at the Chair of Non-Destructive Testing and Quality Assurance at Saarland University in Saarbrücken, Germany. 2018 he became a Professor in the field of Materials Science and Materials Testing at the University of Applied Sciences Kaiserslautern (Hochschule Kaiserslautern). In 2019, he was honored with the Galilei Award for his achievements in the field of materials testing, and in 2020 he received the venia legendi in the field of “Materials Technology” by completing his habilitation.

    He is a founding member of the Institute for Quality, Modeling, Manufacturing, and Materials (QM3), which was established in 2019 at the University of Applied Sciences Kaiserslautern. His research is mainly focused on the use of non-destructive measurement techniques for the characterization of the fatigue behavior and the fatigue life calculation of metallic and non-metallic materials in the LCF-, HCF-, and VHCF-regime as well as for the evaluation of defects and inhomogeneities in the materials microstructure.

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From the journal Materials Testing

Abstract

In recent years, different short-time procedures have been developed that significantly reduce the experimental effort required to generate S-N curves and thus S-N databases. Methods like StressLife, StrainLife, and SteBLife are some of those which have shown enormous potential in this respect. In this contribution, the practicability of the SteBLife method is shown. Two S-N curve evaluation strategies based on temperature and magnetic field measurements are presented. These take statistical evaluation into account, describing a material’s scatter in terms of fatigue life. In order to demonstrate the versatility of the approach and to underline the advantages in terms of effort saved when compared to conventional procedures, the process on how to get the required information obtained is shown for three unalloyed and low-alloyed steels under different heat treatment conditions.


University of Applied Sciences Kaiserslautern Department of Materials Science and Materials Testing Institute Quality, Modeling, Machining & Materials Schoenstr.11 D-67659 Kaiserslautern Germany

About the authors

Ruth Acosta

M.Sc. Ruth Acosta, born in 1988, studied Civil Engineering at Universidad Centroamericana José Simeón Cañas in San Salvador, El Salvador and received a Master of Science in Non Destructive Testing at the Dresden International University in Germany. Since 2017, she has been working as Research Associate at the Chair of NDT and quality assurance at Saarland University in Saarbrücken, Germany, where she has also been studying for her PhD. She also worked as Research Associate at the University of Applied Sciences Kaiserslautern from 2018 to 2020. Her research is mainly focused on the use of non-destructive methods for the characterization and detection of defects in metallic materials.

Prof. Dr.-Ing. Christian Boller

Prof. Dr.-Ing. Christian Boller, born in 1954, graduated from the Technische Hochschule (now Technische Universität) Darmstadt/Germany in Structural Engineering (Civil Engineering) in 1980 and received a Doctoral degree at the same institution in Materials Mechanics in 1987. He then worked with institutions like Battelle, Daimler and MBB (today Airbus) where he became the Chief Engineer for Structures in the military aircraft division. In 2003, he was appointed Full Professor in Smart Structural Design at the University of Sheffield/UK and took over the chair of NDT and quality assurance at Saarland University in 2008, which he still holds. He has published more than 300 scientific papers, reports and books, has been the Scientific Director of the NDT master course at Dresden International University since 2013, a Visiting Professor at the Nanjing University of Aeronautics and Astronautics (NUAA) in Nanjing/China since 2014 and Member of various Editorial and Scientific Boards.

Dipl.-Math. Markus Doktor

Dipl.-Math. Markus Doktor, born 1988, studied Mathematics and Computer Science at the University of Kaiserslautern, the Université Joseph Fourier Grenoble III (now part of Univ. de Grenoble) and École Nationale Supérieure d’Informatique et de Mathemaique Appliquées, part of Institute Polytechnique de Grenoble, France. He specialized in mathematical statistics, graduated 2013 and started working in interdisciplinary research groups focusing on nonparametric as well as robust statistics and its application. He worked in various research and industry projects related to non-destructive testing in civil engineering and material characterization, especially steel constructions. He is currently finalizing his PhD and has been Head of the Data and Data Analytics Team in his department at PwC Germany since mid-2020.

Haoran Wu

M.Sc. Haoran Wu, born in 1988, studied Materials Science and Engineering at Tianjin University, China and Saarland University in Saarbrücken, Germany. After that, he received his Master’s degree at Saarland University in 2016 and worked at the Chair of Nondestructive Testing and Quality Assurance (LZfPQ), where he finished his by DGZfP (The German Society for Non-Destructive Testing) rewarded master’s thesis. From 2016 to 2018 he was a Research Associate at LZfPQ, where he is currently completing his PhD. 2018 he transferred to the Department of Materials Science and Materials Testing at the University of Applied Sciences Kaiserslautern. He is currently working with a focus on NDT methods in fatigue.

Hanna Jost

B.Eng. Hanna Jost, born in 1995, trained as a Materials Tester. She completed her Bachelor’s degree at the University of Applied Sciences Kaiserslautern and is currently continuing her studies at the TU Kaiserslautern.

Fabian Weber

M.Sc. Fabian Weber, born in 1995, studied Materials Science at Saarland University and graduated in 2021. Since then, he has been working as a Research Assistant at the Department of Materials Science and Materials Testing at University of Applied Sciences Kaiserslautern.

Prof. Priv.-Doz. Dr.-Ing. habil. Peter Starke

Prof. Priv.-Doz. Dr.-Ing. habil. Peter Starke, born in 1977, studied Mechanical Engineering at TU Kaiserslautern, Germany. Since 2002 he has been a Research Assistant at the Institute of Materials Science and Engineering (WKK) at TU Kaiserslautern, Germany. He received his Engineering Doctoral degree in 2007 working on “The fatigue life calculation of metallic materials under constant amplitude loading and service loading”. From 2007 to 2012 he headed the research group “Fatigue life calculation” at WKK. Afterwards, he transferred to Fraunhofer IZFP in Saarbrücken, Germany. From 2013 to 2018 he had the position of a Senior Research Associate at the Chair of Non-Destructive Testing and Quality Assurance at Saarland University in Saarbrücken, Germany. 2018 he became a Professor in the field of Materials Science and Materials Testing at the University of Applied Sciences Kaiserslautern (Hochschule Kaiserslautern). In 2019, he was honored with the Galilei Award for his achievements in the field of materials testing, and in 2020 he received the venia legendi in the field of “Materials Technology” by completing his habilitation.

He is a founding member of the Institute for Quality, Modeling, Manufacturing, and Materials (QM3), which was established in 2019 at the University of Applied Sciences Kaiserslautern. His research is mainly focused on the use of non-destructive measurement techniques for the characterization of the fatigue behavior and the fatigue life calculation of metallic and non-metallic materials in the LCF-, HCF-, and VHCF-regime as well as for the evaluation of defects and inhomogeneities in the materials microstructure.

Acknowledgment

The authors would like to thank the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG STA 1133/ 6-1 and STA 1133/10-1) and the University of Applied Sciences Kaiserslautern for financial support for this research.

The authors would also thank Shimadzu Germany/Europe and Micro-Epsilon for their support in technical equipment provision.

References

1 R. Masendorf, C. Müller: Execution and evaluation of cyclic tests at constant load amplitudes – DIN 50100:2016, Materials Testing 60 (2018), No. 10, pp. 961-968 DOI:10.3139/120.11123810.3139/120.111238Search in Google Scholar

2 P. Starke, H. Wu: Use of non-destructive testing methods in a new one-specimen test strategy for the estimation of fatigue data, International Journal of Fatigue 111 (2018), pp. 177-185 DOI:10.1016/j.ijfatigue.2018.02.01110.1016/j.ijfatigue.2018.02.011Search in Google Scholar

3 H. Wu, A. Bäumchen, A. Engel, R. Acosta, C. Boller, P. Starke: SteBLife – A new short-time procedure for the evaluation of fatigue data, International Journal of Fatigue 124 (2019), pp. 82-88 DOI:10.1016/j.ijfatigue.2019.02.04910.1016/j.ijfatigue.2019.02.049Search in Google Scholar

4 P. Starke, A. Bäumchen, H. Wu: SteBLife – A new short-time procedure for the calculation of S-N curves and failure probabilities, Materials Testing 60 (2018), No. 2, pp. 121-127 DOI:10.3139/120.11113910.3139/120.111139Search in Google Scholar

5 P. Starke, H. Wu, C. Boller: SteBLife – The enhanced short-time evaluation procedure for materials fatigue data generation, Materials Science Forum 941 (2019), pp. 2395-2400 DOI:10.4028/www.scientific.net/MSF.941.239510.4028/www.scientific.net/MSF.941.2395Search in Google Scholar

6 R. Acosta, H. Wu, R. Sridaran Venkat, F. Weber, J. Tenkamp, F. Walther, P. Starke: SteBLife, a new approach for the accelerated generation of metallic materials’ fatigue data, Metals 10 (2020), No. 798, pp. 1-17 DOI:10.3390/met1006079810.3390/met10060798Search in Google Scholar

7 A. Piotrowski, D. Eifler: Characterization of cyclic deformation behaviour by thermometrical and electrical methods, Materialwissenschaft und Werkstofftechnik 26 (1995), No. 3, pp. 121-127 DOI:10.1002/mawe.19950260305 (in German)10.1002/mawe.19950260305Search in Google Scholar

8 M. D. Sangid: The physics of fatigue crack initiation, International Journal of Fatigue 57 (2013), pp. 58-72 DOI:10.1016/j.ijfatigue.2012.10.00910.1016/j.ijfatigue.2012.10.009Search in Google Scholar

9 I. Altpeter, G. Dobmann, NDE of material degradation by embrittlement and fatigue, D. O Thompson, D. E. Chimenti (Eds.): Proc. of Review of Quantitative Nondestructive Evaluation 22 (2003), pp. 15-21 DOI:10.1063/1.157011510.1063/1.1570115Search in Google Scholar

10 P. Starke, D. Eifler, C. Boller: Fatigue assessment of metallic materials beyond strain measurement, International Journal of Fatigue 82 (2016), pp. 274-279 DOI:10.1016/j.ijfatigue.2015.03.01810.1016/j.ijfatigue.2015.03.018Search in Google Scholar

11 N. Kasai, H. Koshino, K. Sekine, H. Kihira, M. Takahashi: Study on the effect of elastic stress and microstructure of low carbon steels on Barkhausen noise, Journal of Nondestructive Evaluation 32 (2013), No. 3, pp. 277-285 DOI:10.1007/s10921-013-0180-110.1007/s10921-013-0180-1Search in Google Scholar

12 M. Küpferling, F. Fiorillo, V. Basso, G. Bertotti, P. Meilland: Barkhausen noise in plastically deformed low-carbon steels, Journal of Magnetism and Magnetic Materials 320 (2008), No. 20, pp. e527-e530 DOI:10.1016/j.jmmm.2008.04.00910.1016/j.jmmm.2008.04.009Search in Google Scholar

13 C. C. H. Lo, E. Kinser, D. C. Jiles: Modeling the interrelating effects of plastic deformation and stress on magnetic properties of materials, Journal of Applied Physics 93 (2003), No. 10, pp. 6626-6628 DOI:10.1063/1.155735610.1063/1.1557356Search in Google Scholar

14 J. M. Makar, B. K. Tanner: The in situ measurement of the effect of plastic deformation on the magnetic properties of steel, Journal of Magnetism and Magnetic Materials 184 (1998), No. 2, pp. 193-208 DOI:10.1016/s0304-8853(97)01129-310.1016/s0304-8853(97)01129-3Search in Google Scholar

15 J. M. Makar, B. K. Tanner: Effect of plastic deformation and residual stress on the permeability and magnetostriction of steels, Journal of Magnetism and Magnetic Materials 222 (2000), No. 3, pp. 291-304 DOI:10.1016/S0304-8853(00)00558-810.1016/S0304-8853(00)00558-8Search in Google Scholar

16 J. Li, M. Xu, J. Leng, M. Xu: Modeling plastic deformation effect on magnetization in ferromagnetic materials, Journal of Applied Physics 111, 063909 (2012), No. 6 DOI:10.1063/1.369546010.1063/1.3695460Search in Google Scholar

17 S. M. Thompson, B. K. Tanner: The magnetic properties of plastically deformed steels, Journal of Magnetism and Magnetic Materials 83 (1990), No. 1-3, pp. 221-222 DOI:10.1016/0304-8853(90)90493-A10.1016/0304-8853(90)90493-ASearch in Google Scholar

18 J. D. Morrow: Cyclic plastic strain energy and fatigue of metals, Internal Friction, Damping, and Cyclic Plasticity, American Society for Testing and Materials (1964), pp. 45-87 DOI:10.1520/STP43764S10.1520/STP43764SSearch in Google Scholar

19 O. H. Basquin: The exponential law of endurance, American Society for Testing and Materials 10 (1910), pp. 625-630Search in Google Scholar

20 R. Marek, K. Nitsche: Heat Transfer – Practice – Fundamentals – Applications – Exercises, 3rd Ed., Hanser, Munich, Germany (2012) (in German) DOI:10.3139/978344643320510.3139/9783446433205Search in Google Scholar

21 P. Böckh, T. Wetzel: Heat Transfer – Fundamentals and Practice, 6th Ed., Springer Vieweg, Berlin, Germany (2015) (in German) DOI:10.1007/978-3-662-44477-110.1007/978-3-662-44477-1Search in Google Scholar

22 N. Hannoschöck: Heat Conduction and Transport – Fundamentals of Heat and Mass Transfer, 1st Ed., Springer Vieweg, Berlin, Germany (2018) (in German) DOI:10.1007/978-3-662-57572-7_110.1007/978-3-662-57572-7_1Search in Google Scholar

23 C. Müller: About the Statistical Evaluation of Experimental S-N Lines, Dissertation, Clausthal University of Technology (2015) (in German)Search in Google Scholar

24 ASTM E739-10(2015): Standard Practice for Statistical Analysis of Linear or Linearized Stress-Life (S-N) and Strain-Life (ε-N) Fatigue Data, ASTM International, West Conshohocken, PA, USA (2015) DOI:10.1520/E0739-10R1510.1520/E0739-10R15Search in Google Scholar

25 DIN50100 : 2016-12: Load Controlled Fatigue Testing – Execution and Evaluation of Cyclic Tests at Constant Load Amplitudes on Metallic Specimens and Components, Beuth, Berlin, Germany (2016)Search in Google Scholar

26 ISO 12107 : 2012: Metallic Materials – Fatigue Testing – Statistical Planning and Analysis of Data – International Organization for Standardization, Geneva, Switzerland (2012)Search in Google Scholar

27 J. A. Villaseñor-Alva, E. González-Estrada: A bootstrap goodness of fit test for the generalized Pareto distribution, Computational Statistics and Data Analysis 53 (2009), No. 11, pp. 3835-3841 DOI:10.1016/j.csda.2009.04.00110.1016/j.csda.2009.04.001Search in Google Scholar

28 G. M. Goerg: Lambert W random variables-a new family of generalized skewed distributions with applications to risk estimation, The Annals of Applied Statistics 5 (2011), No. 3, pp. 2197-2230 DOI:10.1214/11-AOAS45710.1214/11-AOAS457Search in Google Scholar

29 J. Shao: Mathematical Statistics, 2nd Ed., Springer Science+Business Media, LLC, New York, USA (2003)10.1007/b97553Search in Google Scholar

30 L. Györfi, M. Kohler, A. Krzyzak, H. Walk: A distribution-free theory of nonparametric regression, Springer, New York, USA (2002) DOI:10.1007/b9784810.1007/b97848Search in Google Scholar

31 B. W. Silverman: Density estimation for statistics and data, Monographs on Statistics and Applied Probability, Chapman and Hall, London (1986)Search in Google Scholar

32 R Core Team: R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria, 2017, Online available at: http://www.r-project.orgSearch in Google Scholar

33 A. Baddeley, E. Rubak, R. Turner: Spatial point patterns: methodology and applications with R, Chapman and Hall CRC Press, New York, USA (2015) DOI:10.1201/b1970810.1201/b19708Search in Google Scholar

34 A. Martin, K. Hinkelmann, E. Clausthal-Zellerfeld: On the evaluation of fatigue tests in the time strength range – Part 1: how reliably can 50 % S-N lines be estimated from experimental data?, Materials Testing 53 (2011), No. 9, pp. 502-512 DOI:10.3139/120.110255 (in German)DOI:10.3139/120.110255Search in Google Scholar

35 M. Weber, M. Doktor, J.-P. Stockis, C. Glock, W. Kurz, C. Fox: Outlier tests in the determination of the in-situ concrete compressive strength – Applicability of the Grubbs test and other outlier tests, Beton 6 (2019), Verlag Bau+Technik GmbH, pp. 212 (in German)Search in Google Scholar

36 M. S. Doktor, C. Fox, W. Kurz, J. P. Stockis: Characterization of steel buildings by means of non-destructive testing methods, Journal of Mathematics in Industry 8 (2018), No. 10 DOI:10.1186/s13362-018-0052-510.1186/s13362-018-0052-5Search in Google Scholar

37 P. Ruckdeschel, B. Spangl, D. Pupashenko: Robust Kalman tracking and smoothing with propagating and non-propagating outliers, Statistical Papers 55 (2014), No. 1, pp. 93-123 DOI:10.1007/s003620120496410.1007/s0036201204964Search in Google Scholar

Published Online: 2021-08-18
Published in Print: 2021-08-31

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