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Fatigue of low alloyed carbon steels in the HCF/VHCF-regimes

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Fatigue of Materials at Very High Numbers of Loading Cycles

Abstract

The fatigue behaviour and damage evolution in body centered cubic low alloyed steels in the high cycle and very high cycle fatigue regimes (HCF/VHCF) were in focus of this work. For this purpose, the steels C15E, C45E and C60E, with different ferritic-pearlitic microstructures were investigated. Due to the different carbon contents the ratio of ferrite to pearlite decreased from C15E to C60E. C15E mainly consist of ferrite grains. The ferrite grains deform plastically under cyclic loading. With decreasing stress amplitudes plastic deformation becomes more and more localized in particular ferrite grains. During further cyclic loading plastic deformation accumulates in those grains and finally leads to crack initiation and fatigue failure. The accumulation of irreversible plastic deformation in the ferrite grains and the strength of microstructural barriers in the vicinity of the plastically deformed grains are mainly determining the total fatigue life. In order to assess quantitatively the contribution of irreversible plastic deformation a new method was developed. By determining the dissipated energy per fatigue cycle, which was derived from the power input of the ultrasonic fatigue machine, it is possible to account for the amount of irreversibility during one loading pulse. Based on these results a prediction of the fatigue life can be made at a very early stage of the fatigue experiment. It also allows distinguishing very early whether the specimen will become a runout or if it will fail at a given amplitude. It also turned out that the interaction of localized plastic deformation with microstructural barriers in the direct vicinity is the key for understanding the occurrence of late fatigue failure. If specimens showed macroscopic crack growth and fatigue failure, critical cracks always initiated at interfaces. On the other hand, runout specimens showed some crack nuclei, but they were not able to overcome the next microstructural barrier.

In addition to the ferritic-pearlitic condition C15E was also investigated in a quenched state. This significant different microstructure changes the deformation behaviour and the sites of crack initiation from grain boundaries to the grain interior. Special interest was also laid on the influence of test frequency on the fatigue behaviour and crack initiation. Thus, tests were done using the ultrasonic fatigue technique which operates at 20 kHz and conventionally resonance fatigue machines which operate at 110 Hz. Based on the well-known Hart formula for strain rate sensitivity under monotonic load, a new relation was derived there from to quantify the strain rate dependence in cyclic experiments.

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References

  • [1] C. Bathias: ‘There is no infinite fatigue life in metallic materials’, Fatigue Fract. Eng. M., 1999, 22, 559 – 565.

    Google Scholar 

  • [2] L. Drouillac, P. Le François, C. Bathias: ‘How and why the fatigue s-n curve does not approach a horizontal asymptote’, Int. J. Fatigue, 2001, 23, 143–151.

    Google Scholar 

  • [3] H. Mayer: ‘Recent developments in ultrasonic fatigue’, Fatigue Fract. Eng. M., 2016, 39, 3–29.

    Article  Google Scholar 

  • [4] Y. Murakami, M. Takada and T. Toriyama: ‘Super-long life tension-compression fatigue properties of quenched and tempered 0.46% carbon steel’, Int. J. Fatigue, 1998, 20, 661–667.

    Article  CAS  Google Scholar 

  • [5] T. Sakai, Y. Sato and N. Oguma: ‘Characteristics s-n properties of high-carbon-chromium-bearing steel under axial loading in long-life fatigue’, Fatigue Fract. Eng. M., 2002, 25, 765–773.

    Google Scholar 

  • [6] H. Mughrabi: ‘On ‘multi-stage’ fatigue life diagrams and the relevant life-controlling mechanisms in ultra-high-cycle fatigue’, Fatigue Fract. Eng. M., 2002, 25, 755–764.

    Google Scholar 

  • [7] E. Bayraktar, I. Garcias and C. Bathias: ‘Failure mechanisms of automotive metallic alloys in very high cycle fatigue range’, Int. J. Fatigue, 2006, 28, 1590–1602.

    Google Scholar 

  • [8] H. Mughrabi: ‘Dislocations in fatigue’, in ‘Dislocations and Properties of Real Materials’, The Institute of Metals, 1985, 323, 244-262.

    Google Scholar 

  • [9] H. Mughrabi: ‘Cyclic slip irreversibilities and the evolution of fatigue damage’, Metall. Mater. Trans. A, 2009, 40A, 1257 – 1279.

    Article  Google Scholar 

  • [10] H. Mughrabi: ‘Cyclic slip irreversibility and fatigue life: A microstructure-based analysis’, Acta Mater., 2013, 61, 1197–1203.

    Article  CAS  Google Scholar 

  • [11] B. Wielke: ‘Hysteresis loop of an elastic-plastic λ/2 oscillator’, Phys. Status Solidi A, 1974, 23, 237–244.

    Article  CAS  Google Scholar 

  • [12] A. Pušhkár: ‘The thermal activation of cummulative fatigue damage at ultrasonic frequencies’, Ultrasonics, 1977, 17, 124 – 128.

    Google Scholar 

  • [13] S. Stanzl-Tschegg: ‘Very high cycle fatigue measuring techniques’, Int. J. Fatigue, 2014, 60, 2 – 17.

    Article  CAS  Google Scholar 

  • [14] K. Kromp, W. Kromp, B. Weiss and K. L. Maurer: ‘Fatigue testing of metals at ultrasonic frequency. [pruefung des dauerschwingverhaltens metallischer werkstoffe bei ultraschallfrequenz.]’, MP Materials Testing, 1973, 15, 297–302.

    Google Scholar 

  • [15] W. P. Mason and R. F. Wick: ‘A barium titanate transducer capable of large motion at ultrasonic frequency’, The Journal of the Acoustical Society of America, 1951, 23, 209 – 214.

    Article  Google Scholar 

  • [16] B. Wielke and S. Stanzl: ‘Die Verteilung der plastischen Verformung in λ/2-Proben aus Eisen bei 21 khz’, Z. Metallk., 1975, 66, 583 – 588.

    Google Scholar 

  • [17] N. Ranc, D. Wagner and P.C. Paris: ‘Study of thermal effects associated with crack propagation during very high cycle fatigue tests’, Acta Mater., 2008, 56, 4012–4021.

    Article  CAS  Google Scholar 

  • [18] C. Zener: ‘Intrernal friction in solids’, Phys. Rev., 1937, 52, 230–235.

    Article  Google Scholar 

  • [19] B. Zettl, H. Mayer, C. Ede and S. Stanzl-Tschegg: ‘Very high cycle fatigue of normalized carbon steels’, Int. J. Fatigue, 2006, 28, 1583–1589.

    Article  CAS  Google Scholar 

  • [20] H. Mayer: ‘Fatigue damage of low amplitude cycles in low carbon steel’, J. Mater. Sci., 2009, 44, 4919–4929.

    Article  CAS  Google Scholar 

  • [21] J. Bach, J. J. Möller, M. Göken, E. Bitzek and H. W. Höppel: ‘On the transition from plastic deformation to crack initiation in the high- and very high-cycle fatigue regimes in plain carbon steels’, Int. J. Fatigue, 2016, 93, 2, 281-291.

    Article  CAS  Google Scholar 

  • [22] B. Guennec, A. Ueno, T. Sakai, M. Takanashi and Y. Itabashi: ‘Effect of the loading frequency on fatigue properties of jis s15c low carbon steel and some discussions based on micro-plasticity behavior’, Int. J. Fatigue, 2014, 66, 29–38.

    Article  CAS  Google Scholar 

  • [23] B. Guennec, A. Ueno, T. Sakai, M. Takanashi, Y. Itabashi and M. Ota: ‘Dislocation-based interpretation on the effect of the loading frequency on the fatigue properties of jis s15c low carbon steel’, Int. J. Fatigue, 2015, 70, 328 – 341.

    Article  CAS  Google Scholar 

  • [24] Y. Murakami, V. Doquet and N. Tsutsumi: ‘Effect of test frequency on fatigue strength of low carbon steel’, Fatigue Fract. Eng. Mater, Fatigue Fract. Eng. Mater, 2009, 32, 473–483.

    Google Scholar 

  • [25] I. Nonaka, S. Setowaki and Y. Ichikawa: ‘Effect of load frequency on high cycle fatigue strength of bullet train axle steel’, Int. J. Fatigue, 2014, 60, 43 – 47.

    Article  CAS  Google Scholar 

  • [26] A. Seeger: ‘The temperature dependence of the critical shear stress and of work-hardening of metal crystals’, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1954, 45, 771–773.

    Article  CAS  Google Scholar 

  • [27] A. Seeger: ‘Lxv. On the theory of the low-temperature internal friction peak observed in metals’, Philos. Mag., 1956, 1, 651–662.

    Article  Google Scholar 

  • [28] A. Seeger: ‘The temperature and strain-rate dependence of the flow stress of body-centered cubic metals:a theory based on kink-kink interactions’, Z. Metallk., 1981, 72, 369 – 380.

    Google Scholar 

  • [29] H. Mughrabi, K. Herz and X. Stark: ‘Cyclic deformation and fatigue behaviour of a-iron mono- and polycrystais’, Int. J. Fracture, 1981, 17, 193 – 220.

    Google Scholar 

  • [30] V. Vitek: ‘Theory of the core structures of dislocations in body-centred-cubic metals’, Crystal Lattice Defects, 1974, 5, 1 – 34.

    Google Scholar 

  • [31] H. Mughrabi, K. Herz and X. Stark: ‘The effect of strain-rate on the cyclic deformation properties of α-iron single crystals’, Acta Metall., 1976, 24, 639 – 668.

    Article  CAS  Google Scholar 

  • [32] H. Mughrabi: ‘Cyclic strain rate effects in fatigued face-centred and body-centred cubic metals’, Philos. Mag., 2013, 93, 3821–3834.

    Article  CAS  Google Scholar 

  • [33] H. W. Höppel, J. May, P. Eisenlohr and M. Göken: ‘Strainrate sensitivity of ultrafine-grained materials’, Z. Metallk., 2005, 96, 566 – 571.

    Google Scholar 

  • [34] E. W. Hart: ‘Theory of the tensile test’, Acta Metall., 1967, 15, 351 – 355.

    Article  CAS  Google Scholar 

  • [35] H. Mughrabi and C. Wüthrich: ‘Asymmetry of slip and shape changes during cyclic deformation of α-iron single crystals’, Philos. Mag., 1976, 33, 963 – 984.

    Article  CAS  Google Scholar 

  • [36] T. Magnin and J. H. Driver: ‘The influence of strain rate on the low cycle fatigue properties of single crystals and polycrystals of two ferritic alloys’, Mater. Sci. Eng., 1979, 39, 175 – 185.

    Article  CAS  Google Scholar 

  • [37] D. Caillard: ‘An in situ study of hardening and softening of iron by carbon interstitials’, Acta Mater., 2011, 59, 4974–4989.

    Article  CAS  Google Scholar 

  • [38] C. Sommer, H. Mughrabi and D. Lochner: ‘Influence of temperature and carbon content on the cyclic deformation and fatigue behavior of alpha-iron. part ii: Crack initiation and fatigue life’, Acta Mater., 1998, 46, 1537–1546.

    Google Scholar 

  • [39] C. Sommer, H. Mughrabi and D. Lochner: ‘Influence of temperature and carbon content on the cyclic deformation and fatigue behavior of αiron. part i. cyclic deformation and stress-behaviour’, Acta Mater., 1998, 46, 1527–1536.

    Article  CAS  Google Scholar 

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Bach, J., Göken, M., Höppel, HW. (2018). Fatigue of low alloyed carbon steels in the HCF/VHCF-regimes. 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_1

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