C. Bathias, L. Drouillac, and P. , How and why the fatigue S???N curve does not approach a horizontal asymptote, International Journal of Fatigue, vol.23, pp.143-151, 2001.
DOI : 10.1016/S0142-1123(01)00123-2

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.1037-1046, 2003.
DOI : 10.1016/S0142-1123(03)00161-0

Y. Murakami, Metal Fatigue: Effects of Small Defects and Nonmetallic Inclusions, pp.280-285, 2002.

Z. Huang, D. Ele-wagner, C. Bathias, and P. C. Paris, Subsurface crack initiation and propagation mechanisms in gigacycle fatigue, Acta Materialia, vol.58, issue.18, pp.6046-6054, 2010.
DOI : 10.1016/j.actamat.2010.07.022

N. Ranc, D. Wagner, and P. C. Paris, Study of thermal effects associated with crack propagation during very high cycle fatigue tests, Acta Materialia, vol.56, issue.15, pp.4012-4021, 2008.
DOI : 10.1016/j.actamat.2008.04.023
URL : https://hal.archives-ouvertes.fr/hal-00283642

M. Nakajima, N. Kamiya, H. Itoga, K. Tokaji, and H. N. Ko, Experimental estimation of crack initiation lives and fatigue limit in subsurface fracture of a high carbon chromium steel, International Journal of Fatigue, vol.28, issue.11, pp.1540-1546, 2006.
DOI : 10.1016/j.ijfatigue.2005.05.017

C. Bathias and P. C. Paris, Gigacycle Fatigue in Mechanical Practice, Marcel Dekker, pp.54-70, 2005.

K. Burkart, H. Bomas, and H. Zoch, Fatigue of notched case-hardened specimens of steel SAE 5120 in the VHCF regime and application of the weakest-link concept, International Journal of Fatigue, vol.33, issue.1, pp.59-68, 2011.
DOI : 10.1016/j.ijfatigue.2010.07.006

C. Bathias and J. P. Bailon, La fatigue des maté riaux et des structures

. Fig, Numerical simulation of temperature distribution for different cycles after crack initiation (M2) (b) N pII =20000cycles and (b)