Development of a Probabilistic Model for the Prediction of Fatigue Life in the Very High Cycle Fatigue (VHCF) Range Based on Inclusion Population

Abstract:

The aim of the present work is to develop a statistical approach for the correlation between the quality of metallic materials with respect to the size and arrangement of inclusions and fatigue life in the VHCF regime by using the example of an austenitic stainless steel AISI 304. For this purpose, the size and location of about 60000 inclusions on cross sections of AISI 304 sheet in both longitudinal and transversal directions were measured and subsequently modeled using conventional statistical functions. In this way a statistical model of inclusion population in AISI 304 was created. The model forms a database for the subsequent statistical prediction of inclusion distribution in fatigue specimens and the corresponding fatigue lives. By applying the extreme value theory the biggest measured inclusions were used in order to predict the maximum inclusion size in the highest stressed volume of fatigue specimens and the results were compared with the failure-relevant inclusions. The location of the crack initiating inclusions was defined based on the modeled inclusion population and the stress distribution in the fatigue specimen, using the probabilistic Monte Carlo framework. Reasonable agreement was obtained between modeling and experimental results.

• Periodical: Advanced Materials Research (Volumes 891-892)
• Pages: 1093-1098
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.891-892.1093
• Online since: March 2014
• Authors: Anton Kolyshkin*, Andrei Grigorescu, Edgar Kaufmann, Martina Zimmermann, Hans-Jürgen Christ
• Keywords: AISI 304, Austenitic Stainless Steel, Inclusion Distribution, Very High Cycle Fatigue (VHCF)

References

[1] C. Müller-Bollenhagen, M. Zimmermann, H. -J. Christ, Very high cycle fatigue behaviour of austenitic stainless steel and the effect of strain-induced martensite, Int. J. Fatigue 32 (2010) 936-942.

DOI: 10.1016/j.ijfatigue.2009.05.007

[2] S. Beretta, C. Anderson, Extreme value statistics in metal fatigue, Societ'a Italiana di Statistica, Atti della XLI Riunione Scientifica (2002) 251–260.

[3] Y. Murakami, Metal fatigue: Effects of small defects and nonmetallic inclusions, Elsevier, Oxford, (2002).

[4] S. Beretta, C. Anderson, Y. Murakami, Extreme value models for the assessment of steels containing multiple types of inclusions, Acta Mater. 54 (2006) 2277-2289.

DOI: 10.1016/j.actamat.2006.01.016

[5] S.X. Li, Effects on inclusions on very high cycle fatigue properties of high strength steels, Int. Mater. Rev. 57 (2012) 92-114.

DOI: 10.1179/1743280411y.0000000008

[6] A. Grigorescu, P. -M. Hilgendorff, M. Zimmermann, C. -P. Fritzen, H. -J. Christ, Effect of geometry and distribution of inclusions on the VHCF properties of a metastable austenitic stainless steel, contribution to 11th International Fatigue Congress (2014).

DOI: 10.4028/www.scientific.net/amr.891-892.440

[7] Modern steels and their properties reference book, Akron Steel Treating Company, information on http: /www. akronsteeltreating. com.

[8] G. Shi, H.V. Atkinson, C.M. Cellars, C.W. Anderson, Application of the generalized Pareto distribution to the estimation of the size of the maximum inclusion in clean steels, Acta Mater. 47 (1999) 1455-1468.

DOI: 10.1016/s1359-6454(99)00034-8