Fatigue, an everlasting materials problem - Still en vogue

Procedia Engineering

Volumn 2, Issue 1, 2010, Pages 3-26

  Mughrabi, Hael ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Cyclic slip irreversibilities; Cyclic slip mode; Fatigue lives; Microstructural effects; Ultrafine grained metals; Ultrahigh Cycle Fatigue (UHCF)

Indexed keywords

CYCLIC DEFORMATIONS; CYCLIC SLIP; CYCLIC STRAIN; FATIGUE BEHAVIOUR; FATIGUE CRACK INITIATION; FATIGUE LIFE; HIGH-STRENGTH MATERIALS; INDUCED DISLOCATION; MICROSTRUCTURAL EFFECT; MICROSTRUCTURAL MECHANISMS; PERSISTENT SLIP BANDS; ULTRAFINE-GRAINED; ULTRAFINE-GRAINED METALS;

CRACK INITIATION; CRACKS;

FATIGUE OF MATERIALS;

EID: 77954092384     PISSN: None     EISSN: 18777058     Source Type: Conference Proceeding    
DOI: 10.1016/j.proeng.2010.03.003     Document Type: Conference Paper

References (111)

1. Blom AF, Ritchie RO. In Memoriam of Jim Beevers. In: Bailon JP, Dickson JI, editors. Proceedings of the Fifth Interational Conference on Fatigue and Fatigue Thresholds (FATIGUE 93), Volume I, West Midlands: EMAS; 1993.
2. Feltner CE, Laird, C. Cyclic stress-strain response of F.C.C. metals and alloys. Parts I and II. Acta metall 1967;15:1621-1632 and 1967;15:1633-1653.
3. Feltner CE, Laird, C. The role of slip character in steady state cyclic stress-strain behavior. Trans. TMS-AIME, 1969;245:1372-1373
4. Lukaš P, Klesnil M. Dislocation structures in fatigued single crystals of Cu-Zn system. phys stat. sol. (a) 1971;5:247-258.
5. Mughrabi H. Mikrostrukturelle Ursachen der Ermudungsrisbildung. In: Munz D, editor. Ermüdungsverhalten metallischer Werkstoffe, Symposium der Deutschen Gesellschaft für Metallkunde, Bad Nauheim, 1984, DGM Informationsgesellschaft Verlag;1985, p. 7-38.
6. Mughrabi H, Wang R. Cyclic strain localization and fatigue crack initiation in persistent slip bands in single-phase metals and alloys. In: Sih GC, Zorski H, editors. Proceedings of First International Symposium on Defects and Fracture, Tuczno, Poland, 13th - 17th Oct. 1980, The Hague, Boston & London: Martinus Njihoff Publishers; 1982, p. 15-28.
7. Karnthaler HP, Schugerl B. Dislocation structures in plastically deformed, disordered Ni3Fe. In: Haasen P, Gerold V, Kostorz G, editors. Proceedings of 5th Int Conf on the Strength of Metals and Alloys (ICSMA 5), Vol 1, Oxford: Pergamon Press; 1979, p. 205-210.
8. Steffens Th, Schwink Ch, Korner A,Karnthaler HP. Transmission Electron Microscopy Study of Stacking-Fault Energy and Dislocation Structure in CuMn Alloys. Phil Mag A 1987;56:161-173.
9. Clement N. Influence de l'ordre a courte distance sur les mechanismes de deformation des solutions solides. In : L'Ordre et le Désordre dans les Matériaux, Ecole d'hiver Aussois. Les Editions de Physique;1984, p. 167-182.
10. Gerold V, Karnthaler HP. On the origin of planar slip in fcc alloys. Acta metall 1989;37:177-2183.
11. Berns H, Gavriljuk VG, Nabiran N, Petrov YuN, Riedner S Trophimova LN. Fatigue and structural changes of high interstitial austenitic steels. steel research international, DOI: 10.1002/srin.200900142, in press.
12. Ewing A , Humfrey JCW. The fracture of metals under repeated alterations of stress. Phil Trans R Soc Lond A 1903;200:241-250.
13. Mughrabi H. Cyclic slip irreversibilities and the evolution of fatigue damage. Metall and Mater Transactions A 2009;40:1257-1279.
14. Sommer C, Mughrabi H, Lochner D. Influence of temperature and carbon content on the cyclic deformation behaviour of -iron; Part I: Cyclic deformation and stress-strain behaviour. Acta mater 1998;46:1527-1536. (Pubitemid 128378264)
15. Thompson N, Wadsworth NJ, Louat N. The origin of fatigue fracture in copper. Phil Mag 1956;1:113-126.
16. Lukaš P, Kunz L. Role of persistent slip bands in fatigue. Phil Mag 2004;84:317-330.
17. Mughrabi H, Ackermann F, Herz K Persistent slip bands in fatigued face-centered and body-centred cubic metals. In: Fong JT, editor. Fatigue Mechanisms. ASTM STP 675. Philadelphia: ASTM; 1979. p. 69-105.
18. Mughrabi H. Dislocations in fatigue. In: Dislocations and properties of real materials, Vol.323. London: Institute of Metals; 1985, p. 244- 262.
19. Essmann U, Gosele U, Mughrabi H. A model of extrusions and intrusions in fatigued metals. Part I: Point defect production and the growth of extrusions. Phil Mag A 1981;44,405-426.
20. Forsyth PJE. Slip-band damage and extrusion. Proc R Soc Lond A; 1957;242:198-202.
21. Wood WA. Formation of fatigue cracks. Phil Mag 1958;3:692-699.
22. Cottrell AH, Hull D. Extrusion and intrusion by cyclic slip in copper. Proc R Soc Lond A 1957;242:211-213.
23. Laird C, Duquette DJ. Mechanisms of fatigue crack nucleation. In: Devereus OF, McEvily AJ, Staehle RW, editors. Corrosion Fatigue, NACE-2. Houston: National Association of Corrosion Engineers. 1972, p. 90-115.
24. Mott NF. A theory of the origin of fatigue cracks. Acta metall 1958;6:195-197
25. Laird C, Duquette DJ. Mechanisms of fatigue crack nucleation. In: Devereus OF, McEvily AJ, Staehle RW, editors. Corrosion Fatigue, NACE-2. Houston: National Association of Corrosion Engineers; 1972, p. 90-115.
26. Mott NF. A theory of the origin of fatigue cracks. Acta metall 1958;6:195-197.
27. Backofen WA. Formation of slip-band cracks in fatigue. In: Averbach BL, Felbeck, DK, G. T. Hahn GT, Thomas DA, editors. Fracture. Cambridge,Mass: MIT Press;1959, p. 435-447.
28. Differt K, Essmann U, Mughrabi H. A model of extrusions and intrusions in fatigued metals. Part II: Surface roughening by random irreversible slip. Phil Mag A 1986;54, 237-258.
29. Polak J. On the role of point defects in fatigue crack initiation. Mater Sci Eng 1987;92:71-80.
30. Polak J. Cyclic deformation, crack initiation, and low-cycle fatigue. In: Ritchie RO, Murakami Y, editors. Comprehensive Structural Integrity, Oxford: Elsevier; 2003, p. 1-39.
31. Basinski ZS, Basinski S. Fundamental aspects of low-amplitude cyclic deformation in face-centered cubic crystals. Progr Mater Sci 1992;36:89-148.
32. Mughrabi H, Wang R, Differt K, Emann U. Fatigue crack initiation by cyclic slip irreversibilities in high-cycle fatigue . In: Lankford J, Davidson DL, Morris WL, Wei RP, editors. Fatigue mechanisms: Advances in Quantitative Measurement of Fatigue Damage. ASTM STP, Philadelphia: ASTM; 1983, p. 5-45.
33. Brown LM. Dislocations and the fatigue strength of metals. In: Hartley CS, Ashby MF, Bullough R, Hirth JP, editors. Proceedings of the International Conference on Dislocation Modeling of Physical Systems, New York: Pergamon Press; 1980, p. 51-68.
34. Hunsche A, Neumann P. Quantitative meurement of persistent slip band profiles and crack initiation. Acta metall 1986;34:207-217.
35. Man J, Obrtlik K, Blochwitz C, Polak J. Atomic force microscopy of surface relief in individual grains of fatigued 316L austenitic stainless steel. Acta mater 2002;50:3767-3780.
36. Polak J, AFM evidence of surface relief formation and models of fatigue crack nucleation. Int J Fatigue 2003;25:1027-1036.
37. Man J, Obrtlik K, Polak J. Extrusions and intrusions in fatigued metals, Parts I & II. Phil Mag 2009;89:1295-1336 & 2009;89:1337-1372.
38. Valiev R.Z., Islamgaliev R.K., Alexandrov I.V. Bulk nanostructured materials from severe plastic deformation. Progr Mater Sci 2000;45:103-189.
39. Valiev RZ, Langdon TG. Principles of equal-channel angular pressing as a processing tool for grain refinement. Progr Materials Sci 2006;51:881-981.
40. Mughrabi H, Hoppel HW. Cyclic deformation and fatigue properties of ultrafine grain size materials: current status and some criteria for improvement of the fatigue resistance. Mater Res Soc Symp Proc 2001;634:B2.1.1- B2.1.12.
41. Vinogradov AYu, Agnew SR In: Nanocrystalline materials: fatigue. Dekker Encyclopedia of nanoscience and nanotechnology, New York: Marcel Dekker, Inc.; 2004, p. 2269-2288.
42. Hoppel HW, Kautz M, Xu C, Murashkin M, Langdon TG, Valiev RZ, Mughrabi H. An overview: Fatigue behaviour of ultrafine-grained metals and alloys. Int J Fatigue 2005;28:1-10.
43. Hoppel HW, Mughrabi H, Vinogradov A. Fatigue properties of bulk nanostructured materials. In: Zehetbauer MJ, Zhu YT, editors. Bulk nanostructured materials. Weinheim: Wiley/VCH; 2009, p. 481-500.
44. Mughrabi H, Hoppel HW. Cyclic Deformation and Fatigue Properties of Very Fine-Grained Metal and Alloys. Int J Fatigue, doi:10.1016/j.ijfatigue.2009.10. 007, in press.
45. Dao M, Lu L, Asaro RJ, De Hosson JTM, Ma E. Toward a quantitative understanding of mechanical behavior of nanocrystalline metals. Acta mater 2007;55,4041-4065.
46. Mughrabi H, Wang R. Cyclic stress-strain response and high-cycle fatigue behaviour of copper polycrystals, In: Lukaš P, Polak J, editors. Proc. of International Colloquium on Basic Mechanisms in Fatigue of Metals. Prague: Academia; 1988, p. 1-13.
47. Thompson AW, Backofen AW. The Effect of Grain Size on Fatigue. Acta metall 1971;19:597-606.
48. Staker MR, Holt DL. The dislocation cell size and dislocation density in copper deformed at temperatures between 25 and 700°C. Acta metall. 1972;20:569-579.
49. Mughrabi H. On the grain-size dependence of metal fatigue: outlook on the fatigue of ultrafine-grained materials. In: Lowe TC, Valiev RZ, editors. Investigations and applications of severe plastic deformation, Dordrecht: Kluwer Academic Publishers; 2000, p. 241-253.
50. Thiele E, Holste C, Klemm R. Influence of size effect on microstructural changes in cyclically deformed polycrystalline nickel. Z Metallkd 2002;93:730-736.
51. Klemm R, Doctorate Thesis: Zyklische Plastizität von mikro- und submikrokristallinem Nickel, Technische Universitat Dresden, 2004.
52. Morrow JD. Cyclic plastic strain energy and fatigue of metals. In: Internal Friction, Damping and Cyclic Plasticity, ASTM STP 378; Philadelphia: ASTM; 1965, p. 45-87.
53. Landgraf RW. The resistance of metals to cyclic deformation, In: Achievement of High Fracture Resistance in Metals and Alloys, ASTM STP 467; Philadelphia: ASTM; 1970, p. 3-36.
54. Hoppel HW. Mechanical properties of ultrafine grained metals under cyclic and monotonic loads: an overview. Mater Sci Forum 2006;503- 504:259-266.
55. Mughrabi H., Hoppel H.W., Kautz M. Microstructural mechanisms governing the fatigue perfomance of ultrafine-grained metals and alloys. In: Zhu et al, editors. Ultrafine Grained Materials IV. Warrendale:TMS; 2006; p. 47-54.
56. Agnew SR, Weertman JR. Cyclic softening of ultra fine grained copper. Mater Sci Eng A 1998;244:145-152.
57. Vinogradov A, Kaneko Y, Kitagawa K, Hashimoto S, Stolyarov V, Valiev R. Cyclic response of ultrafine-grained copper at constant plastic strain amplitude. Scripta Mater 1997;36:1345-1351.
58. Vinogradov A, Kaneko Y, Kitagawa K, Hashimoto S, Valiev RZ., On the cyclic response of ultrafine-grained copper. Materials Science Forum 1998; 269-272: 987-992.
59. Agnew SR, Vinogradov A, Hashimoto S, Weertman JR. Overview of fatigue performance of Cu processed by severe plastic deformation. J Electron Mater 1999;28:1038-1044.
60. Hoppel HW, Brunnbauer M, Mughrabi H, Valiev RZ, Zhilyaev AP. Cyclic deformation behaviour of ultrafine grain size copper produced by equal channel angular extrusion. In: Proc. of Werkstoffwoche 2000, http://www.materialsweek. org/proceedings, 2001.
61. Hoppel HW, Zhou ZM, Mughrabi H, Valiev RZ Microstructural study of the parameters governing coarsening and cyclic softening in fatigued ultrafine-grained copper. Phil Mag A 2002;82:1781-1794.
62. Witney AB, Sanders PG, Weertman JR. Fatigue of nanocrystalline copper. Scripta mater 1995;33:2025-2030.
63. Wang ZG, Wu SD, Jiang CB, Liu SM, Alexandrov IV. ECA pressing of copper single crystals and fatigue-induced softening in UFG metals. In: Blom AF, editor. Proc. of FATIGUE 2002, Vol.3, West Midlands: Engineering Advisory Services; 2002, p. 1541-1552.
64. Wu SD, Wang ZG Jiang CB, Li GY. Scanning electron microscopy-electron channelling contrast investigation of recrystallization during cyclic deformation of ultrafine grained copper produced by equal channel angular pressing. Phil Mag Letters 2002;82:559-565.
65. Kunz L, Lukaš P, Svoboda M. Fatigue strength, microstructural stability and strain localization in ultrafine-grained copper. Mater Sci Eng A 2006;424:97-104.
66. Lukaš P, Kunz L, Svoboda M, Buksa M, Wang Q. Mechanisms of cyclic plastic deformation in ultrafine-grain copper produced by severe plastic deformation. In: Hsia J, Goken M, Pollock T, Portella PD, Moody NR, editors. Plasticity, Failure and Fatigue in Structural Materials - From Macro to Nano: Proceedings of the TMS Hael Mughrabi Honorary Symposium. The Minerals, Metals and Materials Society (TMS); 2008, p. 161-166.
67. Xu C, Wan Q, Zheng M, Li J, Huang M, Jia Q, Zhu J, Kunz L, Buksa M. Fatigue behaviour and damage characteristic of ultra-fine grain low-purity copper processed by equal channel angular pressing (ECAP). Mater Sci Eng A 2008; 475:249-256.
68. Shan A, Moon IG, Ko HS, Park JW. Direct observation of shear deformation during equal channel angular pressing of pure aluminium. Scripta mater 1999;41: 353-357.
69. Lukaš P, Kunz L, Svoboda M. Fatigue of ultrafine-grained copper. In: Portella PD, Beck T, Okazaki M, editors. Proc. of 6th Int Conf on Low Cycle Fatigue (LCF6). Berlin: DVM, Germany; 2008, p. 295-306.
70. Hoppel HW, Xu C, Kautz M, Barta-Schreiber N, Langdon TG, Mughrabi H. Cyclic deformation behaviour and possibilities to enhance the fatigue properties of ultrafine-grained materials. In: Zehetbauer MJ, Valiev RZ, editors. Proceedings of 2nd International Conference on nanomaterials by severe plastic deformation (NanoSPD2), Weinheim: Wiley VCH; 2004, p. 677-683.
71. Kautz M, Hoppel HW, Xu C, Langdon TG, Mughrabi H. Fatigue lives and cyclic deformation behaviour of ultrafine-grained materials. In: Portella P, Sehitoglu H and Hatanaka K, editors. Proc 5th Int. Conf. on LCF Behaviour (LCF 5), Berlin: DVM; 2004, p. 113-118.
72. Wong MK, Kao WP, Lui JT, Chang CP, Kao PW. Cyclic deformation of ultrafine-grained aluminum. Acta mater 2007;55:715-725.
73. Kunz L., Lukaš P. Private communication, 2009.
74. Maier HJ, Gabor P, Gupta N, Karaman I, Haouaoui M. Cyclic stress-strain response of ultrafine grained copper. Int J Fatigue 2006;28:243-250.
75. Lukaš P, Kunz L, Svoboda. Fatigue mechanisms in ultra-fine grained copper. Konove mater 2009;47:1-9.
76. Mughrabi H, Hoppel HW, Kautz M, Valiev RZ. Annealing treatments to enhance thermal and mechanical st ability of ultrafine-grained metals produced by severe plastic deformation. Z Metallkd 2003;94:1079-1083.
77. Wang, Y, Chen M, Zhou F, Ma E. High tensile ductility in a nanostructured metal. Nature 2002; 419: 912-914.
78. Hoppel HW, Korn M, Lapovok R, Mughrabi H. Bimodal grain size distributions in UFG materials produced by SPD: Their evolution and effect on mechanical properties. In: Proceedings of 15th Int Conf on Strength of Materials (ICSMA 15). To appear in: Open Access Journal of Physics: Conference Series (JPCS).
79. Valiev RZ, Alexadrov IV, Zhu YT, Lowe TC. Paradox of strength and ductility in metals produced by severe plastic deformation. J Mater Res 2002;17:5-8.
80. Lukaš P, Kunz L, Svoboda M, Fatigue notch sensitivity of ultrafine-grained copper. Mater Sci Eng A 2005;391:337-341.
81. Hanlon T, Tabachnikova E.D, Suresh S. Fatigue crack growth behavior of nanocrystalline metals and alloys. Int J Fatigue 2005;27, 1147-1158.
82. Hubner P, Kiessling R, Biermann H, Vinogradov A. Fracture behaviour of ultrafine-grained materials under static and cyclic loading. Int J Mater Research 2006;97:15661570.
83. Hubner P, Kiessling R, Biermann H, Hinkel T, Jungnickel W, Kawalla R, Hoppel HW, May J. Static and cyclic crack growth behaviour of ultrafine-grained Al produced by different severe plastic deformation methods. Met Mater Trans A 2007;38:1926-1933.
84. Estrin Y, Vinogradov A. Fatigue behaviour of light alloys with ultrafine grain structure produced by severe plastic deformation: An overview. Int J Fatigue 2010; 32, 898-907.
85. Niendorf T, Canadinc D, Maier HJ, Karaman I. On the microstructural stability of ultrafine-grained interstitial-free steel under cyclic loading. Met. Mater Trans. A 2007;38:1946-1955.
86. Mughrabi H. Cyclic deformation and fatigue of different steels: fundamentals and some examples of applications. In: Tsuji N, editor. Proceedings of the 2nd Int Symp on Steel Science (ISSS 2009). In press.
87. May J. Doctorate Thesis: Mikrostruktur, monotone und zyklische mechanische Eigenschaften ultrafeinkörniger Aluminiumlegierungen. Universitat Erlangen-Nurnberg; 2008.
88. Vinogradov AY, Stolyarov VV, Hashimoto S, Valiev RZ. Cyclic behavior of ultrafine-grain titanium produced by severe plastic deformation. Mater Sci Eng A 2001;318:163-173.
89. Saitova LR, Hoppel, HW, Goken M, Semenova IP, Valiev RZ. Cyclic deformation behavior and fatigue lives of ultrafine-grained Ti-6Al-4V ELI alloy for medical use. Int J Fatigue 2009;31:322-331.
90. Furuya Y, Matsuoka S, Shimakura S, Hanamura T, Torizuka S. Effects of carbon and phosphorus addition on the fatigue properties of ultrafine-grained steels . Scripta mater 2005;52:1163-1167. (Pubitemid 40391166)
91. Niendorf T, Canadinc D, Maier HJ, Karaman I, Sutter SG. On the fatigue behaviour of ultrafine-grained interstitial-free steel. Int J Mat Res 2006;97:1328-2133
92. Selected papers from Proceedings of International Conference "Fatigue Life in Gigacycle Regime" (later called VHCF-1). Fatigue & Fract Engng Mater Struct 1999;22:545-641 and 1999;22:647-728.
93. Mughrabi H. On the life-controlling microstructural fatigue mechanisms in ductile metals and alloys in the gigacycle regime. Fatigue & Fract Engng Mater Struct 1999;22:633-641.
94. Mughrabi H. On multi-stage fatigue life diagrams and the relevant life-controlling mechanisms in ultrahigh-cycle fatigue. Fatigue & Fract Engng Mater Struct 2002;25:755-764.
95. Mughrabi H. Specific features and mechanisms of fatigue in the ultrahigh-cycle regime. Int J Fatigue 2006;28:1501-1508.
96. Stanzl-Tschegg S. Fracture mechanisms and fracture mechanics at ultrasonic frequencies. Fatigue & Fract Engng Mater Struct 1999;22:567-579.
97. Murakami Y, Nomoto T, Ueda T, Murakami Y. On the mechanism of fatigue failure in the superlong life regime (N>107 cycles), Parts I and II. Fatigue & Fract Engng Mater Struct 2000;23:893-902 and 2000;23:903-910.
98. Bathias C. There is no infinite fatigue life in metallic materials. Fatigue & Fract Engng Mater Struct 1999;22:559-565.
99. Sakai T, Takeda M, Shiozawa K, Ochi Y, Nakajima M, Nakamura T and Ogyma N. Experimental evidence of duplex S-N characteristics in wide life region for high strength steels. In: Wu XR and Z.G. Wang ZG, editors. Proc. of FATIGUE 1999, Vol 1. Beijing: Higher Education Press and West Midlands: EMAS Ltd.;1999, p. 573-578.
100. Nishijima S and Kanazawa K. Stepwise S-N curve and fish-eye failure in gigacycle fatigue. Fatigue & Fract Engng Mater Struct 1999;22:601-607.
101. Lukaš P, Klesnil M, Polak J. High cycle fatigue life of metals. Mater Sci Eng 1974;15:239-245.
102. Bathias C, Drouilac L, Le Francois P. How and why the fatigue S-N curve does not approach a horizontal asymptote. Int J Fatigue 2001;23:S143-S151.
103. Furuya Y, Matsuoka S. Improvement of gigacycle fatigue properties by modified ausforming in 1600 and 2000 MPA-class low-alloy steels. Metall Mater Trans A 2002;33:3421-3431.
104. Marines-Garcia, Paris PC, Tada H, BathiasC. Fatigue crack growth from small to long cracks in VHCF with surface initiations. Int Fatigue 2007;29:2072-2078.
105. Mughrabi H, Wang, R. Cyclic deformation of face-centred cubic polycrystals: a comparison with observations on single crystals. In: Hansen N et al, editors. Deformation of Polycrystals: Mechanisms and Microstructures, Proceedings of 2nd Risø International Symposium on Metallurgy and Materials Science. Roskilde: Riso National Laboratory; 1981, p. 87-98.
106. Hoppel HW, Saitova L, Griess HJ, Goken M. In: Allison JE, Jones JW, Larsen JM, Ritchie RO. Proc. 4th International Conference on Very High Cycle Fatigue (VHCF-4). Warrendale: TMS; 2007, p. 59-66, and personal communication of H.W. Höppel, 2008.
107. Stanzl-Tschegg S, Mughrabi H, Schonbauer B. Life time and cyclic slip of copper in the VHCF regime. In: Bache et al editors. Proceedings of International Conference on Fatigue Damage of Structural Materials, 2006. Int J Fatigue 2007;29:2050-2060
108. Mughrabi H, Stanzl-Tschegg S. Fatigue damage evolution in ductile single-phase face-centred cubic metals in the UHCF-Regime. In: Allison JE, Jones JW, Larsen JM, Ritchie RO. Proc. 4th International Conference on Very High Cycle Fatigue (VHCF-4). Warrendale: TMS; 2007, p. 75-82.
109. Weidner A, Amberger D, Pyczak F, Schonbauer B, Stanzl-Tschegg S, Mughrabi H. Fatigue damage in copper polycrystals subjected to ultrahigh-cycle fatigue below the PSB threshold. Int J Fatigue 2010;32:872-878.
110. Stanzl-Tschegg S, Schonbauer B, Laird C. Mechanisms of fatigue failure of polycrystalline copper in the VHCF-regime. In: Hsia Jimmy K et al, editors. Plasticity, Failure and Fatigue in Structural Materials - From Macro to Nano: Proceedings of the TMS Hael Mughrabi Honorary Symposium. Warrendale: TMS; 2008, p. 229-234
111. Sonsino CM. Course of SN-curves especially in the high-cycle fatigue regime with regard to component design and safety. Int J Fatigue 2007;29:2246-2258.