Abstract
In this article, the physical origin of fatigue crack initiation in ductile metals is discussed from a historical perspective. The main focus is to assess those cyclic slip irreversibilities in a microstructural sense that occur not only at the surface but also in the bulk at the dislocation scale and to show how they contribute to surface fatigue damage. The evolution of early fatigue damage, as evidenced experimentally in the last decades, is reviewed. The phenomenon of cyclic strain localization in persistent slip bands (PSBs) and models of the formation of extrusions, intrusions, and microcracks are discussed in detail. The predictions of these models are compared with experimental evidence obtained on mono- and polycrystalline face-centered-cubic (fcc) metals. In addition, examples of the evolution of fatigue damage in selected fcc solid solution alloys and precipitation-hardened alloys and in body-centered-cubic (bcc) metals are analyzed. Where possible, the cyclic slip irreversibilities p, defined as the fraction of plastic shear strain that is microstructurally irreversible, have been estimated quantitatively. Broadly speaking, p has been found to vary over orders of magnitude (0 < p < 1), being almost negligible at low loading amplitudes (high fatigue lives) and substantial at larger loading amplitudes (low fatigue lives).
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W.A.J. Albert: Archive für Mineralogie, Geognosie, Bergbau und Hüttenkunde, 1838, vol. 10, pp. 215–34.
W. Fairbairn: Phil. Trans. R. Soc., 1864, vol. 154, pp. 311–25.
A. Wöhler: Z. Bauwesen, 1870, vol. 20, pp. 73–106.
J. Bauschinger: Mitteilung XV aus dem Mechanisch-technischen Laboratorium der Königlichen Technischen Hochschule in München, 1886, vol. 13, pp. 1–116.
H. Mughrabi: Z. Metallkd., 1986, vol. 77, pp. 703–07.
J.A. Ewing and J.C.W. Humfrey: Phil. Trans. R. Soc., 1903, vol. 200, pp. 241–50.
L.F. Coffin: Trans. ASME, 1954, vol. 76, pp. 931–50.
S.S. Manson: National Advisory Committee on Aerospace Technical Note 2933, National Advisory Committee, Cleveland, OH, 1954.
S. Kocanda: Fatigue Failure of Metals, Sijthoff and Noordhoff International Publishers, Alphen aan den Rijn, The Netherlands, 1978.
M. Klesnil and P. Lukáš: Fatigue of Metallic Materials, Materials Science Monographs, 7, Elsevier Scientific Publishers, New York, NY, 1980.
J. Polák: Cyclic Plasticity and Low Cycle Fatigue Life of Metals, Elsevier, Amsterdam, 1991.
S. Suresh: Fatigue of Materials, 2nd ed., Cambridge University Press, Cambridge, UK, 1998.
D.H. Avery and W.A. Backofen: in Fracture of Solids, D.C. Drucker and J.J. Gilman, eds., Interscience Publishers, New York, NY, 1963, pp. 339–82.
C. Laird and D.J. Duquette: in Corrosion Fatigue, O.J. Devereux, A.J. McEvily, and R.W. Staehle, eds., NACE-2, Houston, TX, 1972, pp. 88–115.
P. Lukáš and M. Klesnil: in Corrosion Fatigue, O.J. Devereux, A.J. McEvily, and R.W. Staehle, eds., NACE-2, Houston, TX, 1972, pp. 118–32.
J.C. Grosskreutz and H. Mughrabi: in Constitutive Equations in Plasticity, A.S. Argon, ed., MIT Press, Cambridge, MA, 1975, pp. 251–326.
C. Laird: in Dislocations in Solids, F.R.N. Nabarro, ed., North-Holland Publishing Company, New York, NY, 1983, vol. 6, pp. 57–120.
P. Neumann: in Physical Metallurgy, R.W. Cahn and P. Haasen, eds., Elsevier Science Publishers B.V., New York, NY, 1983, vol. 2, pp. 1553–93.
L.M. Brown: Ashby Symp.: “The Modelling of Material Behavior and its Relation to Design,” J.D. Embury and A.W. Thompson, eds., TMS, Warrendale, PA, 1990, pp. 175–98.
H. Mughrabi: Proc. 5th Int. Conf. on the Strength of Metals and Alloys, P. Haasen, V. Gerold, and G. Kostorz, eds., Pergamon Press, Oxford, United Kingdom, 1980, vol. 3, pp. 1615–39.
H. Mughrabi: Dislocations and Properties of Real Materials (Conf. Proc.), The Institute of Metals, London, 1984, Book No. 323, pp. 244–60.
Z.S. Basinski and S.J. Basinski: Prog. Mater. Sci., 1992, vol. 36, pp. 89–148.
J. Polák: in Comprehensive Structural Integrity, I. Milne, R.O. Ritchie, and B. Karihaloo, eds., Elsevier, Amsterdam, 2003, vol. 4, pp. 1–39.
M.E. Fine: Metall. Trans. A, 1980, vol. 11A, pp. 365–79.
U. Essmann: Phil. Mag. A, 1982, vol. 45, pp. 171–90.
H. Mughrabi, R. Wang, K. Differt, and U. Essmann: in Fatigue Mechanisms: Advances in Quantitative Measurement of Physical Damage, ASTM STP 811, J. Lankford, D.L. Davidson, W.L. Morris, and R.P. Wei, eds., ASTM, Philadelphia, PA, 1983, pp. 5–45.
H. Mughrabi: Deformation of Multi-Phase and Particle Containing Materials, Proc. 4th Risø Int. Symp. on Metallurgy and Materials Science, J.B. Bilde-Sørensen, N. Hansen, A. Horsewell, T. Leffers, and H. Lilholt, eds., Risø National Laboratory, Roskilde, 1983, pp. 65–82.
K. Differt, U. Essmann, and H. Mughrabi: Phil. Mag. A, 1986, vol. 54, pp. 237–58.
K. Differt, U. Essmann, and H. Mughrabi: Phys. Status Solidi (a), 1987, vol. 104, pp. 95–106.
H. Mughrabi: Fatigue Fract. Eng. Mater. Struct., 1999, vol. 22, pp. 633–41.
H. Mughrabi: Fatigue Fract. Eng. Mater. Struct., 2002, vol. 25, pp. 755–64.
H. Mughrabi: Int. J. Fatigue, 2006, vol. 28, pp. 1501–08.
H. Mughrabi and S. Stanzl-Tschegg: Proc. 4th Int. Conf. on Very High Cycle Fatigue (VHCF-4), J.E. Allison, J. Wayne-Jones, J.M. Larsen, and R.O. Ritchie, TMS, Warrendale, PA, 2007, pp. 75–82.
A. Weidner, D. Amberger, F. Pyczak, B. Schönbauer, S. Stanzl-Tschegg, and H. Mughrabi: Proc. 17th Eur. Conf. on Fracture (ECF 17), CD: ISBN: 978-80-214-3692-3, 2008.
A. Weidner, D. Amberger, F. Pyczak, B. Schönbauer, S. Stanzl-Tschegg, and H. Mughrabi: expanded version of Ref. 34; Int. J. Fatigue, in press.
S.E. Harvey, P.G. Marsh, and W.W. Gerberich: Acta Metall. Mater., 1994, vol. 42, pp. 3493–3502.
W.W. Gerberich, S.E. Harvey, D.E. Kramer, and J.W. Hoehn: Acta Mater., 1998, vol. 46, pp. 5007–21.
D. Khireddine, R. Rahouadj, and M. Clavel: Acta Metall., 1989, vol. 37, pp. 191–201.
L. Cretegny and A. Saxena: Acta Mater., 2001, vol. 49, pp. 3755–65.
M. Risbet, X. Feaugas, C. Guillemer-Neel, and M. Clavel: Scripta Mater., 2003, vol. 49, pp. 533–38.
M. Risbet and X. Feaugas: Eng. Fract. Mech., 2008, vol. 75, pp. 3511–19.
A. Shyam and W.W. Milligan: Acta Mater., 2005, vol. 53, pp. 835–44.
C.E. Feltner and C. Laird: Acta Metall., 1965, vol. 15, pp. 1621–32 and 1633-–53.
V. Gerold and H.P. Karnthaler: Acta Metall., 1989, vol. 37, pp. 2177–83.
Z. Wang: Phil. Mag., 2004, vol. 84, pp. 351–79.
H.J. Gough: 8th Edgar Marburg Lecture of ASTM, Proc. American Society for Testing and Materials, ASTM, Philadelphia, PA, 1933, vol. 33, Part II, pp. 3–114.
N. Thompson, N.J. Wadsworth, and N. Louat: Phil. Mag., 1956, vol. 1, pp. 113–26.
E.E. Laufer and W.N. Roberts: Phil. Mag., 1966, vol. 14, pp. 67–78.
J.D. Atkinson, L.M. Brown, R. Kwadjo, W.M. Stobbs, A.T. Winter, and P.J. Woods: Proc. 3rd Int. Conf. on the Strength of Metals and Alloys (ICSMA 3), Cambridge, United Kingdom, 1973, pp. 402–06.
A.T. Winter: Phil. Mag., 1974, vol. 30, pp. 719–38.
P.J. Woods: Phil. Mag., 1973, vol. 28, pp. 155–91.
J.M. Finney and C. Laird: Phil. Mag., 1975, vol. 31, pp. 339–66.
H. Mughrabi: Mater. Sci. Eng., 1978, vol. 33, pp. 207–23.
H. Mughrabi: Proc. 4th Int. Conf. on Continuum Models of Discrete Systems (CMDS-4), O. Brulin and R.K.T. Hsieh, eds., North-Holland Publishing Company, Amsterdam, 1981, pp. 241–57.
H. Mughrabi, K. Herz, and F. Ackermann: Proc. 4th Int. Conf. on the Strength of Metals and Alloys (ICSMA 4), Laboratoire de Physique, E.N.S.M.I.M., Nancy, France, 1976, vol. 3, pp. 1244–48.
H. Mughrabi, F. Ackermann, and K. Herz: Fatigue Mechanisms, Proc. ASTM-NBS-NSF Symp., ASTM ASTP 675, J.T. Fong, ed., ASTM, Philadelphia, PA, 1979, pp. 69–105.
W.A. Wood: Phil. Mag., 1958, vol. 3, pp. 692–99.
H. Mughrabi, M. Bayerlein, and R. Wang: Proc. 9th Int. Conf. on the Strength of Metals and Alloys (ICSMA 9), D.G. Brandon, R. Chaim, and A. Rosen, eds., Freund Publishing Company Ltd., London, vol. 2, pp. 879–86.
B.T. Ma and C. Laird: Acta Metall., 1989, vol. 37, pp. 325–36.
Z.S. Basinski and S.J. Basinski: Acta Metall., 1989, vol. 37, pp. 3263–73.
J. Polák, J. Man, and K. Obrtlik: Int. J. Fatigue, 2003, vol. 25, pp. 1027–36.
C. Laird: Mater. Sci. Eng., 1976, vol. 22, pp. 231–36.
H. Mughrabi and R. Wang: Deformation of Polycrystals: Mechanisms and Micro-structures, Proc. 2nd Risø Int. Symp. on Metallurgy and Materials Science, N. Hansen, A. Horsewell, T. Leffers, and H. Lilholt, eds., Risø National Laboratory, Roskilde, Denmark, 1981, pp. 87–98.
S. Stanzl-Tschegg and B. Schönbauer: Proc. 4th Int. Conf. on Very High Cycle Fatigue (VHCF-4), J.E. Allison, J. Wayne-Jones, J.M. Larsen, and R.O. Ritchie, eds., TMS, Warrendale, PA, 2007, pp. 15–22.
D.F. Watt, J.D. Embury, and R.K. Ham: Phil. Mag., 1968, vol. 17, pp. 199–203.
S.J. Basinski, Z.S. Basinski, and A. Howie: Phil. Mag., 1969, vol. 19, pp. 889–924.
Z.S. Basinski, R. Pasqual, and S.J. Basinski: Acta Metall., 1983, vol. 31, pp. 591–602.
J.M. Finney and C. Laird: Mater. Sci. Eng., 1982, vol. 54, pp. 137–42.
M. Hollmann, J. Bretschneider, and C. Holste: Cryst. Res. Technol., 2000, vol. 35, pp. 479–92.
C. Holste: Phil. Mag., 2004, vol. 84, pp. 299–315.
A. Weidner, R. Beyer, C. Blochwitz, C. Holste, A. Schwab, and W. Tirschler: Mater. Sci. Eng. A, 2006, vols. 435–436, pp. 540–46.
A. Weidner, J. Man, W. Tirschler, P. Kapetek, C. Blochwitz, J. Polák, and W. Skrotzki: Mater. Sci. Eng. A, 2008, vol. 492, pp. 118–27.
P.J.E. Forsyth: Proc. R. Soc. A, 1957, vol. 242, pp. 198–202.
W.A. Wood, S. McK. Cousland, and K.R. Sargant: Acta Metall., 1963, vol. 11, pp. 643–52.
A.N. May: Nature (London), 1960, vol. 185, pp. 303–04.
D. Hull: J. Inst. Met., 1957–58, vol. 86, pp. 425–30.
A.H. Cottrell and D. Hull: Proc. R. Soc. A, 1957, vol. 242, pp. 211–13.
N.F. Mott: Acta Metall., 1958, vol. 6, pp. 195–97.
A.J. McEvily, Jr. and E.S. Machlin: in Fracture, B.L. Averbach, D.K. Felbeck, G.T. Hahn, and D.A. Thomas, eds., MIT Press and John Wiley, New York, NY, 1959, pp. 450–73.
N. Thompson: in Fracture, B.L. Averbach, D.K. Felbeck, G.T. Hahn, and D.A. Thomas, eds., MIT Press and John Wiley, New York, NY, 1959, pp. 354–74.
D.F. Watt: Phil. Mag., 1966, vol. 14, pp. 87–92.
A.J. Kennedy: Processes of Creep and Fatigue in Metals, Oliver and Boyd, Edinbugh and London, 1963, pp. 331–41.
R.C. Boettner and A.J. McEvily: Acta Metall., 1964, vol. 13, pp. 937–46.
L.M. Brown: Met. Sci., 1977, vol. 11, pp. 315–20.
K. Mecke and C. Blochwitz: Cryst. Res. Technol., 1982, vol. 17, pp. 743–58.
J. Bretschneider, C. Holste, and W. Kleinert: Mater. Sci. Eng. A, 1995, vol. 191, pp. 61–72.
U. Essmann and H. Mughrabi: Phil. Mag. A, 1979, vol. 40, pp. 731–56.
U. Essmann, U. Gösele, and H. Mughrabi: Phil. Mag., 1981, vol. 44, pp. 405–26.
W.A. Backofen: in Fracture, B.L. Averbach, D.K. Felbeck, G.T. Hahn, and D.A. Thomas, eds., MIT Press and John Wiley, New York, NY, 1959, pp. 435–47.
U. Essmann and M. Rapp: Acta Metall., 1973, vol. 21, pp. 1305–17.
J. Polák: Mater. Sci. Eng., 1987, vol. 92, pp. 71–80.
J.G. Antonopoulos, L.M. Brown, and A.T. Winter: Phil. Mag., 1976, vol. 34, pp. 549–63.
I.B. Kwon, M.E. Fine, and J. Weertman: Acta Metall., 1989, vol. 37, pp. 2927–36.
I.B. Kwon, M.E. Fine, and J. Weertman: Acta Metall., 1989, vol. 37, pp. 2937–46.
L.M. Brown: Mater. Sci. Eng. A, 2000, vol. 285, pp. 35–42.
J.C. Figueroa and C. Laird: Mater. Sci. Eng., 1983, vol. 60, pp. 45–58.
G. Dörr and C. Blochwitz: Cryst. Res. Technol., 1987, vol. 22, pp. 113–21.
M. Bayerlein and H. Mughrabi: in Short Fatigue Cracks, ESIS 13, K.J. Miller and E.R. de los Rios, eds., Mechanical Engineering Publications, London, 1992, pp. 55–82.
P. Villechaise, L. Sabatier, and J.C. Girard: Mater. Sci. Eng. A, 2002, vol. 323, pp. 377–85.
P. Villechaise: Proc. ATEM’03, Int. Conf. on Advanced Technology in Experimental Mechanics 2003, JSME No. 03-207, The Japan Society of Mechanical Engineers, Tokyo, Sept. 9, 2003, CD-ROM.
J. Man, K. Obrtlik, C. Blochwitz, and J. Polák: Acta Mater., 2002, vol. 50, pp. 3767–80.
J. Man, K. Obrtlik, and J. Polák: Mater. Sci. Eng. A, 2003, vol. 351, pp. 123–32.
Z.S. Basinski and S.J. Basinski: Proc. 8th Int. Conf. on the Strength of Metals and Alloys (ICSMA 9), P.O. Kettunen, T.K. Lepistö, and M.E. Lehtonen, eds., Pergamon Press, Oxford, United Kingdom, 1988, vol. 1, pp. 13–24.
M.T. Ma and C. Laird: Fatigue Fract. Eng. Mater. Struct., 1986, vol. 9, pp. 109–16.
A. Hunsche and P. Neumann: Acta Metall., 1986, vol. 34, pp. 207–17.
M. Bayerlein and H. Mughrabi: Acta Metall. Mater., 1991, vol. 39, pp. 1645–50.
P. Lukaš, M. Klesnil, and J. Krejči: Phys. Status Solidi, 1968, vol. 27, pp. 545–58.
Proc. 4th Int. Conf. on Very High Cycle Fatigue (VHCF-4), J.E. Allison, J. Wayne-Jones, J.M. Larsen, and R.O. Ritchie, eds., TMS, Warrendale, PA, 2007.
S. Stanzl-Tschegg and B. Schönbauer: Proc. 4th Int. Conf. on Very High Cycle Fatigue (VHCF-4), J.E. Allison, J. Wayne-Jones, J.M. Larsen, and R.O. Ritchie, eds., TMS, Warrendale, PA, 2007, pp. 15–22.
S. Stanzl-Tschegg, B. Schönbauer, and C. Laird: Plasticity, Failure and Fatigue in Structural Materials—from Macro to Nano: Proc. Hael Mughrabi Honorary Symp., K.J. Hsia, M. Göken, T. Pollock, P.D. Portella, and N.R. Moody, eds., TMS, Warrendale, PA, 2008, pp. 229–34.
P. Lukáš and M. Klesnil: Phys. Status Solidi, 1970, vol. 37, pp. 833–42.
P. Lukáš and M. Klesnil: Phys. Status Solidi (a), 1970, vol. 5, pp. 247–58; private communication, Max—Planck-Institut für Metallforschung, Stuttgart, Germany, 1982.
J.K. Lee and C. Laird: Phil. Mag. A, vol. 47, pp. 579–97.
D. Steiner and V. Gerold: Mater. Sci. Eng., 1986, vol. 84, pp. 77–88.
D. Steiner: Doctoral Thesis, University of Stuttgart, Stuttgart, 1982.
M. Clavel and A. Pineau: Mater. Sci. Eng., 1982, vol. 55, pp. 157–71.
P.B. Hirsch: Proc. 1st Int. Conf. on the Strength of Metals and Alloys (ICSMA 1), suppl. to Trans. Jpn. Inst. Met., 1968, vol. 9, pp. XXX–XXXIX.
B. Sesták and A. Seeger: Phys. Status Solidi (b), 1971, pp. 433–44.
H. Mughrabi, K. Herz, and F. Ackermann: Int. J. Fract., 1981, vol. 17, pp. 193–220.
H. Mughrabi, K. Herz, and X. Stark: Acta Metall., 1976, vol. 24, pp. 659–68.
H. Mughrabi and Ch. Wüthrich: Phil. Mag., 1976, vol. 33, pp. 963–84.
F. Ackermann: Doctoral Thesis, University of Stuttgart, Stuttgart, 1982.
V.M. Goritskii, V.S. Ivanova, L.G. Orlov, and V.F. Terent’yev: Sov. Phys.-Dokl., 1973, vol. 17, pp. 776–79.
V.F. Terent’yev, I.S. Kogan, and L.G. Orlov: Fiz. Metall. Metalloved., 1975, vol. 40, pp. 199–202.
C. Sommer and H. Mughrabi: Acta Mater., 1998, vol. 46, pp. 1527–36.
D.V. Wilson and J.K. Tromans: Acta Metall., 1970, vol. 18, pp. 1197–208.
J.T. McGrath and W.J. Bratina: Czech. J. Phys., 1969, vol. B19, pp. 284–93.
K. Pohl, P. Mayr, and E. Macherauch: Scripta Metall., 1980, vol. 14, pp. 1167–69.
H.D. Nine: J. Appl. Phys., 1973, vol. 44, pp. 4875–81.
R. Neumann: Z. Metallkd., 1975, vol. 66, pp. 26–32.
H. Mughrabi: Z. Metallkd., 1975, vol. 66, pp. 719–24.
T. Magnin and J.H. Driver: Mater. Sci. Eng., 1979, vol. 39, pp. 175–85.
T. Magnin and J.H. Driver: in Low-Cycle Fatigue and Life Prediction, C. Amzallag, B.N. Leis and P. Rabbe, eds., ASTM STP 770, ASTM, Philadelphia, PA, 1982, pp. 212–26.
Acknowledgments
The author is grateful to his colleagues and the doctoral students who contributed over the years to the work reported here. In particular, he thanks his former colleagues, Klaus Differt and Uwe Essmann, Max-Planck-Institut für Metallforschung (Stuttgart), sincerely for many heated and fruitful discussions. The author has also benefited greatly from the very motivating and spirited discussions concerning PSBs with many of his colleagues, most notably with Mick Brown, Campbell Laird, Peter Neumann, Petr Lukáš, and Jaroslav Polák, and he wishes to express his gratitude and respect to these colleagues, friends and rivals of the past.
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Hael Mughrabi obtained his primary school education in Germany and subsequently attended different British schools in Jerusalem, Palestine, and in Cairo, Egypt, where he graduated from secondary school at The English School in 1955. He is a German citizen. After a three-year apprenticeship as a mechanic and toolmaker at Bosch GmbH Company in Stuttgart, he entered the Engineering University of Stuttgart to study physics. During his studies, in his doctoral thesis work and in his subsequent occupation as a senior researcher at the Max-Planck-Institute of Metal Research in Stuttgart (1966–1983), he specialized in metal physics and performed mainly research in the fields of crystal defects, mechanical properties, and microstructural characterization. He held a Visiting Professorship at Cornell University in 1978–1979. After receiving offers from three universities, he joined the University of Erlangen–Nürnberg in 1984 as a Professor of Materials Science and Engineering and Head of an Institute of General Materials Properties. In subsequent years, he held positions as Department Head and Dean of the School of Engineering. Since 2002, Hael Mughrabi has been formally retired but is still active in various forms in research and in committee work.
Hael Mughrabi has published almost 300 papers and book chapters and has been editor or co-editor of several books and conference proceedings, mainly in the fields of crystal plasticity, materials characterization, metal fatigue, high-temperature mechanical properties of nickel-base superalloys, and modeling of mechanical behavior. He has been active in the organization and chairing of many international conferences and has frequently been invited as a plenary or keynote speaker. Hael Mughrabi has been a member of TMS for 25 years and of a number of other professional societies, including the German Materials Society (Deutsche Gesellschaft für Materialkunde (DGM)). He has been a member of the Board of Directors of DGM and Chairman of the DGM Awards Committee PKII and has been elected an Honorary Member of DGM. Hael Mughrabi is the holder of an Honorary Doctoral degree from the Ruhr University Bochum and the recipient of several national and international awards, including the highest award of DGM, the Heyn–Denkmünze.
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Mughrabi, H. Cyclic Slip Irreversibilities and the Evolution of Fatigue Damage. Metall Mater Trans A 40, 1257–1279 (2009). https://doi.org/10.1007/s11661-009-9839-8
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DOI: https://doi.org/10.1007/s11661-009-9839-8