[1]
C. Bathias and P.C. Paris, Gigacycle Fatigue in Mechanical Practice, Marcel Dekker, New York, (2005), 125-132.
Google Scholar
[2]
N. Oguma, B. Lian, T. Sakai, K. Watanabe and Y. Odake, Long life fatigue fracture induced by interior inclusions for high carbon chromium bearing steels under rotating bending", Journal of ASTM International, Vol. 7, No. 9, (2010), JAI102540, 1-9.
DOI: 10.1520/jai102540
Google Scholar
[3]
Z. Lei, Y. Hong, J. Xie, C. Sun and A. Zhao, Effect of inclusion size and location on very- high-cycle fatigue behavior for high strength steels, Materials Science and Engineering, A, 558 (2012), 234-241.
DOI: 10.1016/j.msea.2012.07.118
Google Scholar
[4]
M.K. Khan and Q.Y. Wang, Investigation of crack initiation and propagation behavior of AISI 310 stainless steel up to very high cycle fatigue, International Journal of Fatigue, 54, (2013), 38-46.
DOI: 10.1016/j.ijfatigue.2013.04.009
Google Scholar
[5]
W. Li, T. Sakai, M. Wakita and S. Mimura, Influence of microstructure and surface defect on very high cycle fatigue properties of clean spring steel, International Journal of Fatigue, 60, (2014), 48-56.
DOI: 10.1016/j.ijfatigue.2013.06.017
Google Scholar
[6]
K.S. Ravi Chandran, G.T. Cashman, J.M. Larsen and T. Sakai, Special issue on competing failure modes and variability in fatigue, International Journal of Fatigue, 32, (2010), 481.
DOI: 10.1016/j.ijfatigue.2009.08.006
Google Scholar
[7]
T. Sakai, M. Takeda, K. Shiozawa, Y, Ochi, M. Nakajima, T. Nakamura and N. Oguma, Experi- mental reconfirmation of characteristic S-N property for high carbon chromium bearing steel in wide life region in rotating bending, J. Soc. Mat. Sci., Japan, 49 (2000).
DOI: 10.1299/jsmemm.2008._os1510-1_
Google Scholar
[8]
H. Mughrabi, Zur dauerschwingfestigkeit im bereich extrem hoher bruchlastspielzahlen: mehrstufige lebensdauerkurven, Harterei-Technische Mitteilungen, 56, (2001), 300-303.
Google Scholar
[9]
T. Sakai, Review and prospects for current studies on very high cycle fatigue of metallic materials for machine structural use, Journal of Solid Mechanics and Materials Engineering, 3, (2009), 425-439.
DOI: 10.1299/jmmp.3.425
Google Scholar
[10]
K. Shiozawa, L. Lu and S. Ishihara, S-N curve characteristics and subsurface crack initiation behavior in ultra-long life region of a high carbon chromium bearing steel, Fat. Frac. Eng. Mat. Struct., 24, (2001), 781-90.
DOI: 10.1046/j.1460-2695.2001.00459.x
Google Scholar
[11]
T. Sakai, Y. Sato, Y. Nagano, M. Takeda and N. Oguma, Effect of stress ratio on long life fatigue behavior of high carbon chromium bearing steel under axial loading, International Journal of Fatigue 28, (2006), 1547-1554.
DOI: 10.1016/j.ijfatigue.2005.04.018
Google Scholar
[12]
T. Sakai, B. Lian, M. Takeda, K. Shiozawa, N. Oguma, Y. Ochi, M. Nakajima and T. Nakamura, Statistical analysis of very high cycle fatigue property of high carbon chromium bearing steel in rotating bending. International Journal of Fatigue, 32, (2010).
DOI: 10.1299/jsmemm.2008._os1510-1_
Google Scholar
[13]
I. Marines-Garcia, P.C. Paris, H. Tada and C. Bathias, Fatigue crack growth from small to long cracks in very-high-cycle fatigue with surface and internal fish-eye, failures for ferrite-perlitic low carbon steel SAE 8620. J. Mater. Sci. Eng., A, (2007).
DOI: 10.1016/j.msea.2006.08.131
Google Scholar
[14]
K.S. Ravi Chandran, P. Chang and G.T. Cashman, Competing failure modes and complex S-N curves in fatigue of structural materials, International Journal of Fatigue, 32, (2010), 482-491.
DOI: 10.1016/j.ijfatigue.2009.08.004
Google Scholar
[15]
T. Sakai, H. Harada and N. Oguma, Crack initiation mechanism of bearing steel in very high cycle fatigue, Proceedings of the 16th European conference on fracture (ECF16), Alexandroupolis, Greece; (2006), [CD-ROM].
DOI: 10.1007/1-4020-4972-2_560
Google Scholar
[16]
N. Oguma, H. Harada and T. Sakai, Mechanism of long life fatigue fracture induced by interior inclusion for bearing steel in rotating bending, J. Soc. Mat. Sci., Japan, 52, (2003), 1292-1297.
DOI: 10.2472/jsms.52.1292
Google Scholar
[17]
L. Lu and K. Shiozawa, Effect of two-step load variation on super-long life fatigue and internal crack growth behavior of high carbon-chromium bearing steel, Trans. Jpn. Soc. Mech. Eng., A, 68 2002), 1066-1073.
DOI: 10.1299/kikaia.68.1666
Google Scholar
[18]
Y. Murakami, T. Nomoto, T. Ueda, Y. Murakami and M. Ohori, Analysis of the mechanism of super long fatigue failure by optical microscope and SEM/AFM observations, J. Soc. Mat. Sci., Japan, 48, (1999), 1112-1117.
DOI: 10.2472/jsms.48.1112
Google Scholar
[19]
Y. Murakami and H. Matsunaga, The effect of hydrogen on fatigue properties of steels used for fuel cell system, International Journal of Fatigue, 28, (2006), 1509-1520.
DOI: 10.1016/j.ijfatigue.2005.06.059
Google Scholar
[20]
Y. Akiniwa, K. Tanaka and A. Nakatsu, Evaluation of fatigue strength in very-long life regime of SNCM439 steels, Trans. Jpn. Soc. Mech. Eng., A, 70, (2004), 1036-1041.
DOI: 10.1299/kikaia.70.1036
Google Scholar
[21]
A. Sugeta, Y. Sugiyama and K. Minoshima, Ultra high-cycle fatigue characteristics and interior crack growth behavior under repeated two-step loading on high strength steel, Proc. JSME annual meeting, Suita, Osaka, Japan, (2007), 345-346.
DOI: 10.1299/jsmemecjo.2007.1.0_345
Google Scholar
[22]
RE. Peterson, Stress concentration design factors, John Wiley & Sons Inc., New York, (1953), 50.
Google Scholar
[23]
T. Sakai, T. Furusawa, R Takizawa, N. Oguma, H. Hohjo, H. Ikuno, Development of multi-type high efficiency fatigue testing machines in rotating bending and axial loading, Proc. the Hael Mughrabi Honorary Symposium, TMS2008, New Orleans USA, (2008).
Google Scholar
[24]
H. Itoga, K. Tokaji, M. Nakajima and H.N. Ko, Effect of surface roughness on step-wise S–N characteristics in high strength steel, International Journal of Fatigue, 25, (2003), 379-385.
DOI: 10.1016/s0142-1123(02)00166-4
Google Scholar
[25]
Edited by T. Sakai et al., Standard evaluation method of fatigue reliability for metallic materials- standard regression method of S-N curves, JSMS-SD-11-07, The Society of Materials Science, Japan (JSMS); (2007).
Google Scholar
[26]
Y. Murakami, S. Kodama, S. Konuma, Quantitative evaluation of effects of nonmetallic inclusion on fatigue strength of high strength steel, Trans. Jpn. Soc. Mech. Eng., 54, (1988), 688-696.
Google Scholar
[27]
Y. Murakami et al., Stress intensity factors handbook (Volume 2). Pergamon Press, (1987. ), 657-658.
Google Scholar
[28]
Edited by M. Jono et al., Data book on fatigue crack growth rates of metallic materials, The Society of Materials Science, Japan (JSMS), Kyoto, (1983), 318-321.
Google Scholar