journal article·2018-12

A probabilistic Stüssi function for modelling the S-N curves and its application on specimens made of steel S355J2+N

Paul Dario Toasa Caiza, Thomas Ummenhofer

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Abstract

Abstract The fatigue life can be represented through S-N curves which describe the relationship between load cycles up to failure and stress range applied in a structure. Providing these curves help the engineers to estimate design stress levels with a high reliability. The nonlinear function proposed by Stussi offers a good approach to model the mentioned curves. However, he did not propose any statistical distribution which allows to make estimations with certain probability. Moreover, the Stussi function does not consider the influence of runouts and their subsequent retests. The Weibull model from Castillo et al. is a statistical method which overcomes this limitation. However, this method cannot be applied to model the S-N curves in the Low Cycle Fatigue regime. In this paper, a Weibull distribution is combined with the Stussi function in order to model the S-N curves, and the characteristics of this proposed method are compared with those of the Weibull model from Castillo et al. In order to establish the advantages and usability of both models, one application considering the experimental data of specimens made of steel S355J2+N is presented. Finally, some recommendations regarding the planning of fatigue tests are made.
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Research context

OpenAlex topics: Fatigue and fracture mechanics · Probabilistic and Robust Engineering Design · Structural Health Monitoring Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (52)

Show source-provided references
1. über die Festigkeitsversuche mit Eisen and Stahl
2. Zur Geschichte der Schwingfestigkeit10.1002/mawe.19930240605 ↗
3. New method for the statistical evaluation of constant stress amplitude fatigue-test results10.1520/STP35402S ↗
4. A maximum likelihood method for estimating P-S-N curves10.1016/S0142-1123(97)00037-6 ↗
5. Marquis G, Huther M, Galtier A., Guidance for the application of the best practice guide on statistical analysis of fatigue data, IIW-WG1-132-08; 2008.
6. Estimating fatigue curves with the random fatigue-limit model10.1080/00401706.1999.10485925 ↗
7. Modelling curved S-N curves10.1111/j.1460-2695.2005.00876.x ↗
8. Schijve · 2009
9. The determination of fatigue limits under alternating stress conditions
10. A new function for fatigue curves characterization and its multiple merits10.1016/S0142-1123(00)00082-7 ↗
11. Evaluation of S-N curves with more than one failure mode10.1016/j.ijfatigue.2010.04.010 ↗
12. A unified statistical model for S-N fatigue curves: probabilistic definition10.1111/j.1460-2695.2012.01711.x ↗
13. Correia J, Raposo P, Muniz-Calvente M, Blasfn S, Lesiuk G, Jesus AD, et al. A generalization of the fatigue Kohout-Věchet model for several fatigue damage parameters. Eng Fract Mech doi:https://doi.org/10.1016/j.engfracmech.2017.06.009. URL .
14. The exponential law of endurance tests
15. The new IIW recommendations for fatigue assessment of welded joints and components – a comprehensive code recently updated10.1016/j.ijfatigue.2008.04.002 ↗
16. Łagoda · 2008
17. Sedlacek, Hobbacher, Nussbaumer, Stötzel, 1st draft of the background document prEN 1993-1-9, Eurocode 3: Design of steel structures.
18. ISO 12107:2003 Metallic materials – fatigue testing – statistical planning and analysis of data. Geneva, CH: International Standard, International Organization for Standardization; 2003.
19. ISO 12107:2012 Metallic materials – fatigue testing – statistical planning and analysis of data. Geneva, CH: International Standard, International Organization for Standardization; 2012.
20. Analysis of fatigue data with runouts based on a model with nonconstant standard deviation and a fatigue limit parameter10.1520/JTE11341J ↗
21. Fatigue behavior of welded joints part 1 – statistical methods for fatigue life prediction
22. Fatigue behavior of welded joints part 2 – physical modelling of the fatigue process
23. Proposal for a more accurate physically based S-N curve for welded steel joints10.1016/j.ijfatigue.2008.03.032 ↗
24. Fitting of fatigue curves with nonconstant standard deviation to data with runouts10.1520/JTE10700J ↗
25. Runout analysis in fatigue investigation10.1016/j.engfracmech.2006.08.026 ↗
26. Fitting fatigue test data with a novel S-N curve using frequentist and bayesian inference10.1016/j.ijfatigue.2017.08.024 ↗
27. Estimation of fatigue S-N curves of welded joints using advanced probabilistic approach10.1016/j.ijfatigue.2016.12.032 ↗
28. Stüssi · 1955
29. Neumann · 1966
30. Rinne · 2008
31. Castillo · 2009
32. Lifetime regression models based on a functional equation of physical nature10.2307/3214067 ↗
33. On physically similar systems; illustrations of the use of dimensional equations10.1103/PhysRev.4.345 ↗
34. Estimating the S-N Field From Strain-Lifetime Curves10.1111/j.1475-1305.2008.00548.x ↗
35. Experimental validation of a statistical model for the whler field corresponding to any stress level and amplitude10.1016/j.ijfatigue.2008.09.003 ↗
36. Probabilistic model of mean stress effects in strain-life fatigue10.1016/j.proeng.2015.08.103 ↗
37. Generalized probabilistic model allowing for various fatigue damage variables10.1016/j.ijfatigue.2017.03.031 ↗
38. Specimen length effect on parameter estimation in modelling fatigue strength by Weibull distribution10.1016/j.ijfatigue.2005.11.006 ↗
39. Muniz-Calvente M, de Jesus A, Correia J, Fernández-Canteli A. A methodology for probabilistic prediction of fatigue crack initiation taking into account the scale effect. Eng Fract Mech doi:https://doi.org/10.1016/j.engfracmech.2017.04.014. .
40. There is no infinite fatigue life in metallic materials10.1046/j.1460-2695.1999.00183.x ↗
41. Very high cycle fatigue is there a fatigue limit?10.1016/j.ijfatigue.2010.05.009 ↗
42. Die Lebensdauer von Kugellagern
43. Palmgreen NA. The service life of ball bearings, Tech. rep., National Aeronautics and Space Administration, translation of the original paper; March 1971.
44. Weibull · 1961
45. Steinhardt O, Kosteas D. Die Schwingfestigkeit geschweißter Aluminiumverbindungen. Optimierung erweiterter Lebensdauerfunktionen mit Berücksichtigung der Überlebenswahrscheinlichkeiten, Tech. Rep. 5, Versuchsanstalt für Stahl, Holz und Steine, Abteilung Stahl- und Leichmetallbau. Universität Karlsruhe (TH); 1971.
46. Ermüdungsfestigkeit geschweister Aluminium-Verbindungen - Untersuchung mit Hilfe mehrparametriger Lebensdauerlinien
47. General probability weighted moments for the three-parameter Weibull distribution and their application in S-N curves modelling10.1016/j.ijfatigue.2011.06.009 ↗
48. Consideration of the runouts and their subsequent retests into S-N curves modelling based on a three-parameter Weibull distribution10.1016/j.ijfatigue.2017.09.010 ↗
49. Toasa Caiza PD. Consideration of runouts by the evaluation of fatigue experiments [Ph.D. thesis]. Versuchsanstalt für Stahl, Holz und Steine, Karlsruher Institute für Technologie; 2018.
50. Castillo E, Esslinger V, Fernández-Canteli A. Statistical model for fatigue analysis of wires, strands and cables. In: IABSE proceedings, vol. 9, IABSE, IABSE Periodica; 1985.
51. Little · 1975
52. Application of Weibull distribution to describe S-N curve with using small number specimens10.1063/1.4965939 ↗