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Development of a fatigue life prediction concept in the very high cycle fatigue range based on covariate microstructural features

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Fatigue of Materials at Very High Numbers of Loading Cycles
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Abstract

In the present work the dependence between the size and space distribution of defects relating to the material quality as well as the size and location of failure initiation defects in fatigue specimens correlating with their fatigue lives in the VHCF-range was investigated. The investigations were made for two reference materials, a nickel-based superalloy Nimonic 80A and a metastable austenitic stainless steel AISI 304 (1.4301) with a high deformation-induced martensite volume fraction. The effect of typical damage-relevant defects for the investigated materials was modeled by corresponding failure-relevant parameters. The stress concentration at crack initiating twin boundaries as well as regular grain boundaries in Nimonic 80A was quantified using a misorientation factor by Blochwitz et al. [1] and a developed crack initiation parameter. The effect of size and location of extrinsic defects in 1.4301 representing the type-II-materials was estimated by means of a stress intensity factor with consideration of the local stress at defects. The investigation of the distribution of failure-relevant parameters in the single specimens showed that crack initiation predominately takes place at defects with the maximum values of the defined parameter. Applying the findings of the fatigue test results generated in the framework of this project, the observed dependence between the failure-relevant parameters and corresponding number of cycles until failure or crack initiation was modeled.

The analysis and statistical modeling of the defined damage-relevant defects was carried out on the basis of metallographic investigations of the reference materials in the as-received condition. Using the extreme value statistics (EVS) the size and (if necessary) space distributions of the larger values of defined damage-relevant defects were modeled for metallographic samples. These models were used in order to evaluate the value of failure-relevant parameters in fatigue specimens and corresponding fatigue lives. The good agreement of experimental and modeling results as well as the likely application of the method on other alloys are discussed in the paper.

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References

  • [1] C. Blochwitz, R. Richter, W. Tirschler and K. Obrtlik: ‘The effect of local textures on microcrack propagation in fatigued f.c.c. metals’, Mater. Sci. Eng., 1997, A234-236, 563-566.

    Article  Google Scholar 

  • [2] H. Mughrabi: ‘Specific features and mechanisms of fatigue in the ultrahigh-cycle regime’, Int. J. Fatigue, 2006, 28, 1501-1508.

    Article  CAS  Google Scholar 

  • [3] M. Zimmermann: ‘Diversity of damage evolution during cyclic loading at very high numbers of cycles’, Int. Mater. Rev., 2012, 57(2), 73-91.

    Article  CAS  Google Scholar 

  • [4] J. Miao, T. M. Pollock and J. W. Jones: ‘Crystallographic fatigue crack initiation in nickel-based superalloy René 88DT at elevated temperature’, Acta Mater., 2009, 57, 5964–5974.

    Article  CAS  Google Scholar 

  • D. L. Davidson, R. G. Tryon, M. Oja, R. Matthews and K. S. Ravi Chandran: ‘Fatigue crack initiation in WASPALOY at 20 °C’, Metall. Mater. Trans. A, 2007, 38A, 2214-2225.

    Article  Google Scholar 

  • [6] J. Miao, T. M. Pollock and J. W. Jones: ‘Microstructural extremes and the transition from fatigue crack initiation to small crack growth in a polycrystalline nickel-base superalloy’, Acta Mater., 2012, 60 2840-2854.

    Article  CAS  Google Scholar 

  • [7] C. Stöcker, M. Zimmermann and H.-J. Christ: ‘Localized cyclic deformation and corresponding dislocation arrangements of polycrystalline Ni-base superalloys and pure nickel in the VHCF regime’, Int. J. Fatigue, 2011, 33, 2-9.

    Article  Google Scholar 

  • [8] C. Müller-Bollenhagen, M. Zimmermann and H.-J. Christ: ‘Very high cycle fatigue behaviour of austenitic stainless steel and the effect of straininduced martensite’, Int. J. Fatigue, 2010, 32, 6, 936-942.

    Article  Google Scholar 

  • [9] A. Kolyshkin, M. Zimmermann, E. Kaufmann and H.-J. Christ: ‘Experimental investigation and analytical description of the damage evolution in a Ni-based superalloy beyond 106 loading cycles’, Int. J. Fatigue, 2016, 93, 2, 272-280.

    Article  CAS  Google Scholar 

  • [10] M. Kumar, W. E. King and A. J. Schwartz: ‘Modifications to the microstructural topology in fcc materials through thermomechanical processing’, Acta Mater., 2000, 48, 2081-2091.

    Google Scholar 

  • [11] A. Kolyshkin: ‘Entwicklung eines Lebensdauervorhersagekonzepts im VHCF-Bereich auf Basis kovariater mikrostruktureller Merkmalsgrößen’, PhD thesis, Universität Siegen, Siegen, Germany, 2017, 81-85.

    Google Scholar 

  • [12] A. Heinz and P. Neumann: ‘Crack initiation during high cycle fatigue of an austenitic steel’, Acta Metall. Mater., 1990, 38, 1933-1940.

    Google Scholar 

  • [13] P. Neumann and A. Tönnessen: ‘Cyclic deformation and crack initiation’, Proc. Fatigue 87, Charlottesville, USA, 1987, Vol. 1, 3-9.

    Google Scholar 

  • [14] E. O. Hall: ‘The deformation and aging of mild steel: II; Characteristics of the Lüders deformation’, Proc. Phys. Soc., London, UK, 1951, B 64, 742-747.

    Google Scholar 

  • [15] N. J. Petch: ‘The cleavage strength of polycrystals’, Iron Steel Inst., 1953, B 174, 25-28.

    Google Scholar 

  • [16] Y. Murakami: ‘Metal Fatigue: Effects of small defects and nonmetallic inclusions’, 2002, Oxford, Elsevier.

    Chapter  Google Scholar 

  • [17] C. S. Pande: ‘A possible model of grain size distribution during primary recrystallization’, Model. Simul. Mater. Sci. Eng., 2015, 23, 3, 035009.

    Article  Google Scholar 

  • [18] G. Shi, H.V. Atkinson, C.M. Cellars and C.W. Anderson: ‘Application of the generalized Pareto distribution to the estimation of the size of the maximum inclusion in clean steels’, Acta Mater., 1999, 47, 1455-1468.

    Article  CAS  Google Scholar 

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Correspondence to M. Zimmermann .

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Kolyshkin, A., Kaufmann, E., Zimmermann, M., Christ, HJ. (2018). Development of a fatigue life prediction concept in the very high cycle fatigue range based on covariate microstructural features. In: Christ, HJ. (eds) Fatigue of Materials at Very High Numbers of Loading Cycles. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-24531-3_16

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