A. Shanyavskiy, Fatigue limit ??? Material property as an opened or closed system? Practical view on the aircraft components failures in GCF area, International Journal of Fatigue, vol.28, issue.11, pp.1647-1654, 2006.
DOI : 10.1016/j.ijfatigue.2005.12.008

T. Nicholas, Critical issues in high cycle fatigue, International Journal of Fatigue, vol.21, pp.221-252, 1999.
DOI : 10.1016/S0142-1123(99)00074-2

C. Bathias and P. Paris, Gigacycle fatigue in mechanical practice, 2005.

B. Claude, Piezoelectric fatigue testing machines and devices, Int J Fatigue, vol.28, issue.11, pp.1438-1483, 2006.

I. Marines, G. Dominguez, G. Baudry, J. Vittori, S. Rathery et al., Ultrasonic fatigue tests on bearing steel AISI-SAE 52100 at frequency of 20 and 30 kHz, International Journal of Fatigue, vol.25, issue.9-11, pp.9-111037, 2003.
DOI : 10.1016/S0142-1123(03)00161-0

S. Stanzl, A new experimental method for measuring life time and crack growth of materials under multi-stage and random loadings, Ultrasonics, vol.19, issue.6, pp.269-72, 1981.
DOI : 10.1016/0041-624X(81)90017-2

M. Israel, D. Jean-pierre, and B. Claude, Development of a new device to perform torsional ultrasonic fatigue testing, Int J Fatigue, vol.29, issue.911, pp.2094-101, 2007.

H. Mayer, Ultrasonic torsion and tension???compression fatigue testing: Measuring principles and investigations on 2024-T351 aluminium alloy, International Journal of Fatigue, vol.28, issue.11, pp.1446-55, 2006.
DOI : 10.1016/j.ijfatigue.2005.05.020

H. Xue, H. Tao, F. Montembault, Q. Wang, and C. Bathias, Development of a threepoint bending fatigue testing methodology at 20 kHz frequency, Int J Fatigue, vol.29, pp.9-112085, 2007.

F. Pedro, F. , B. Claude, P. Ernani, S. et al., Inducing very high cycle fretting-fatigue in the ultrasonic regime, Tribol Int, vol.76, pp.57-62, 2014.

M. Zimmermann, C. Stöcker, and H. Christ, On the effects of particle strengthening and temperature on the VHCF behavior at high frequency, International Journal of Fatigue, vol.33, issue.1, pp.42-50, 2011.
DOI : 10.1016/j.ijfatigue.2010.05.007

P. Pérez-mora-ruben, B. Thierry, P. Claude, and C. Paul, Very high cycle fatigue of a high strength steel under sea water corrosion: A strong corrosion and mechanical damage coupling, International Journal of Fatigue, vol.74, pp.156-65, 2015.
DOI : 10.1016/j.ijfatigue.2015.01.004

S. Christian, Z. Martina, and C. Hans-jürgen, Effect of precipitation condition, prestrain and temperature on the fatigue behaviour of wrought nickel-based superalloys in the VHCF range, Acta Mater, vol.59, issue.13, pp.5288-304, 2011.

S. Kovacs, T. Beck, and L. Singheiser, Influence of mean stresses on fatigue life and damage of a turbine blade steel in the VHCF-regime, International Journal of Fatigue, vol.49, pp.90-99, 2013.
DOI : 10.1016/j.ijfatigue.2012.12.012

A. Sreeramamurthy, M. Harold, G. Charles, A. , N. Brett et al., Mechanical properties of alloys consisting of two ductile phases, Prog Mater Sci, vol.51, pp.632-709, 2006.

N. Ranc, D. Wagner, and P. Paris, Study of thermal effects associated with crack propagation during very high cycle fatigue tests, Acta Materialia, vol.56, issue.15, pp.4012-4033, 2008.
DOI : 10.1016/j.actamat.2008.04.023

URL : https://hal.archives-ouvertes.fr/hal-00283642

T. Sakai, Y. Sato, and N. Oguma, Characteristic SN properties of high-carbon? chromium-bearing steel under axial loading in long-life fatigue, Fatigue Fract Eng Mater Struct, vol.25, pp.8-9765, 2002.

L. Xiaolong, S. Chengqi, and H. Youshi, Effects of stress ratio on high-cycle and very-high-cycle fatigue behavior of a Ti?6Al?4V alloy, Mater Sci Eng, A, vol.622, pp.228-263, 2015.

Z. Aiguo, X. Jijia, S. Chengqi, L. Zhengqiang, and H. Youshi, Effects of strength level and loading frequency on very-high-cycle fatigue behavior for a bearing steel, Int J Fatigue, vol.38, pp.46-56, 2012.

H. Mughrabi, K. Herz, and X. Stark, Cyclic deformation and fatigue behaviour of ?-iron mono-and polycrystals, International Journal of Fracture, vol.44, issue.2, pp.193-220, 1981.
DOI : 10.1007/978-94-011-9691-8_12

M. Papakyriacou, H. Mayer, C. Pypen, P. Jr, H. Stanzl-tschegg et al., Influence of loading frequency on high cycle fatigue properties of b.c.c. and h.c.p. metals, Materials Science and Engineering: A, vol.308, issue.1-2, pp.143-52, 2001.
DOI : 10.1016/S0921-5093(00)01978-X

S. Stanzl-tschegg, H. Mughrabi, and B. Schoenbauer, Life time and cyclic slip of copper in the VHCF regime, International Journal of Fatigue, vol.29, issue.9-11, pp.2050-2059, 2007.
DOI : 10.1016/j.ijfatigue.2007.03.010

J. Sushant, K. , S. Christopher, J. , J. Reji et al., Deformation heterogeneities and their role in life-limiting fatigue failures in a two-phase titanium alloy, Acta Mater, vol.82, pp.378-95, 2015.

F. Bridier, P. Villechaise, and J. Mendez, Slip and fatigue crack formation processes in an ??/?? titanium alloy in relation to crystallographic texture on different scales, Acta Materialia, vol.56, issue.15
DOI : 10.1016/j.actamat.2008.04.036

G. Baxter, W. Rainforth, and L. Grabowski, TEM observations of fatigue damage accumulation at the surface of the near-?? titanium alloy IMI 834, Acta Materialia, vol.44, issue.9, pp.3453-63, 1996.
DOI : 10.1016/1359-6454(96)00024-9

C. Szczepanski, S. Jha, J. Larsen, and J. Jones, Microstructural Influences on Very-High-Cycle Fatigue-Crack Initiation in Ti-6246, Metallurgical and Materials Transactions A, vol.1, issue.A, p.2841, 2008.
DOI : 10.1007/s11661-002-1023-3

URL : https://link.springer.com/content/pdf/10.1007%2Fs11661-008-9633-z.pdf

T. Neeraj, D. Hou, G. Daehn, and M. Mills, Phenomenological and microstructural analysis of room temperature creep in titanium alloys, Acta Materialia, vol.48, issue.6, pp.1225-1263, 2000.
DOI : 10.1016/S1359-6454(99)00426-7

T. Sakai, B. Lian, M. Takeda, K. Shiozawa, N. Oguma et al., Statistical duplex S???N characteristics of high carbon chromium bearing steel in rotating bending in very high cycle regime, International Journal of Fatigue, vol.32, issue.3, pp.497-504, 2010.
DOI : 10.1016/j.ijfatigue.2009.08.001

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

F. Yoshiyuki and T. Etsuo, Gigacycle fatigue properties of Ti?6Al?4V alloy under tensile, mean stress, Mater Sci Eng A, vol.598, pp.135-175, 2014.