N. E. Dowling, Mechanical Behavior of Materials: Engineering methods for deformation, fracture and fatigue, Third Edition, 2007.

D. K. Felbeck and A. G. Atkins, Strength and Fracture of Engineering Solids, 1984.

S. Suresh, Fatigue of materials, 1991.
DOI : 10.1017/CBO9780511806575

P. G. Forrest, Fatigue of Metals, 1970.

C. Bathias, P. , and P. C. , Gigacycle Fatigue in Mechanical Practice, 2005.

Y. Murakami, Metal Fatigue: Effect of small defects and non metallic inclusions, 2002.

M. García, I. , P. , P. C. Tada, H. Bathias et al., 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, Materials Science, pp.120-128, 2007.

J. C. Newman, E. P. Philips, and M. H. Swain, Fatigue-life prediction methodology using small-crack theory, International Journal of Fatigue, vol.21, issue.2, pp.109-119, 1999.
DOI : 10.1016/S0142-1123(98)00058-9

T. Palin-luc, P. Mora, R. Bathias, C. Dominguez, G. et al., Fatigue crack initiation and growth on a steel in the very high cycle regime with sea water corrosion, Engineering Fracture Mechanics, vol.77, issue.11, pp.1953-1962, 2010.
DOI : 10.1016/j.engfracmech.2010.02.015

H. Bidouard, Etude de l'effet de surcharges sur la tenue en fatigue a grand durée de vie d'un acier ferrito-bainitique sous chargement d'amplitude variable, Arts et Métiers ParisTech, pp.7-9, 2009.

C. Bathias, L. Drouillac, L. Francois, 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

H. P. Lieurade, La pratique des essais de fatigue, Societé française de métallurgie, PYC Édition, pp.27-35, 1982.

H. Gadouini, Y. Nadot, R. , and C. , Influence of mean stress on the multiaxial fatigue behaviour of defective materials, International Journal of Fatigue, vol.30, issue.9, pp.1623-1656, 2008.
DOI : 10.1016/j.ijfatigue.2007.11.010

I. Koutiri, F. Morel, D. Bellett, and L. Augustins, Effect of high hydrostatic stress on the fatigue behavior of metallic materials, Proceedings of the 12 th international conference on Fracture, 2009.

M. García, I. Bin, X. Bathias, and C. , An understanding of very high cycle fatigue of metals, International Journal of Fatigue, vol.25, pp.1101-1107, 2003.

K. Asami and Y. Sugiyama, Fatigue strength of various surface hardened steels, Japanese Heat Treatment Technology Association, pp.147-150, 1985.

.. Gigacycle-fatigue-testing-device, 56 1.1. Crack initiation tests features57 1.1.1 Specimen generalities57 1.1.2. Tension-compression tests (R=?1), Tests in sea water flow, p.61

T. Crack-growth, 62 1.2.1. Specimen generalities, How to carry out crack growth tests, p.64

C. Machine, 67 1.3.1. Horns, p.69

.. Fatigue, 75 2.2. Specimen geometry78 2.3. Temperature measurement of AS7G06 during tests Crack initiation tests at room temperature Tension-compression: R=-1 at room temperature, p.86

R. Fatigue-tests-on, 94 3.2. Specimen geometry Crack initiation tests without any corrosion, ., vol.103

A. E45, Standard Test Methods for Determining the Inclusion Content on Steel, 2002.

A. G85, Standard Practice for Modified Salt Spray (Fog) testing, 2009.

A. E466, Standard Practice for Conducting Force controlled Constant Amplitude Axial Fatigue Tests of Metallic Materials, 2007.

A. E606, Standard Practice for Strain Controlled Fatigue Testing, American Society for Testing and Materials, 2004.

A. E647, Standard Test Method for Measurement of Fatigue Crack Growth Rates, 2008.

Z. D. Zun, Etude du seuil de fissuration à haute fréquence en fatigue et en fretting fatigue, ITMA-CNAM, 2000.

T. Y. Wu, Modélisation de la fissuration en fatigue vibratoire à haute température, applications aux alliages à base de nickel Application of fracture mechanics concepts in ultrasonic fatigue, Engineering Fracture Mechanics, vol.10, issue.475, pp.683-690, 1992.

C. Bathias and P. C. Paris, Gigacycle Fatigue in Mechanical Practice, 2005.

C. Bathias, Influence of the metallurgical instability on the gigacycle fatigue regime, International Journal of Fatigue, vol.32, issue.3, pp.535-540, 2010.
DOI : 10.1016/j.ijfatigue.2009.06.007

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

T. Palin-luc, Fatigue multiaxiale d'une fonte GS sous sollicitations combinées d'amplitude variable, 1996.

I. Koutiri, F. Morel, D. Bellett, and L. Augustins, Effect of high hydrostatic stress on the fatigue behavior of metallic materials, Proceedings of 12 th International Conference on Fracture ICF2009, 2009.

H. P. Lieurade, La pratique des essais de fatigue, Societé française de métallurgie, PYC Édition, pp.27-35, 1982.

F. Bastenaire, Etude statistique et physique de la dispersion des résistances et des endurances à la fatigue, 1960.

H. Itoga, K. Tokaji, M. Nakajima, and H. Ko, Effect of surface roughness on step-wise S???N characteristics in high strength steel, International Journal of Fatigue, vol.25, issue.5, pp.379-385, 2003.
DOI : 10.1016/S0142-1123(02)00166-4

R. Analysis and R. Steel, 134 2.1. Fractography of specimens tested without any corrosion, p.134

.. Fractography-of-specimens-with-corrosion, 138 2.2.1. Tension-Compression (R=-1) with pre-corrosion, p.139

C. Bathias and P. C. Paris, Gigacycle Fatigue in Mechanical Practice, 2005.

H. R. Ammar, A. M. Samuel, and F. H. Samuel, Effect of casting imperfections on the fatigue life of 319-F and A356-T6 Al???Si casting alloys, Materials Science and Engineering: A, vol.473, issue.1-2, pp.65-75, 2008.
DOI : 10.1016/j.msea.2007.03.112

J. Z. Yi, L. , P. D. Lindley, T. C. Fukui, and T. , Statistical modeling of microstructure and defect population effects on the fatigue performance of cast A356-T6 automotive components, Materials Science and Engineering: A, vol.432, issue.1-2, pp.59-68, 2006.
DOI : 10.1016/j.msea.2006.07.003

I. Koutiri, F. Morel, D. Bellett, and L. Augustins, Effect of high hydrostatic stress on the fatigue behavior of metallic materials, Proceedings of 12 th International Conference on Fracture ICF2009, 2009.

T. S. Srivatsan, A. , S. Sriram, S. Vasudevan, and V. K. , The high cycle fatigue and fracture behavior of aluminium alloy 7055, Materials Science, pp.292-304, 2000.

P. Mora, R. , D. Almaraz, G. Palin-luc, T. Bathias et al., Very High Cycle Fatigue Analysis of High Strength Steel with Corrosion Pitting, Key Engineering Materials, vol.449, pp.104-113, 2010.
DOI : 10.4028/www.scientific.net/KEM.449.104

P. C. Paris, M. Garcia, I. Hertzberg, R. W. , D. et al., The relationship of effective stress intensity, elastic modulus and Burgers-vector on fatigue crack growth as associated with ''fish eye " gigacycle fatigue phenomena, Proceedings of VHCF-3, pp.1-13, 2004.

P. C. Paris, H. Tada, D. , and J. K. , Service load fatigue damage ? a historical perspective, International Journal of Fatigue, vol.21, pp.35-46, 1999.
DOI : 10.1016/S0142-1123(99)00054-7

R. W. Hertzberg, On the calculation of closure-free fatigue crack propagation data in monolithic metal alloys, Materials Science and Engineering: A, vol.190, issue.1-2, pp.25-32, 1995.
DOI : 10.1016/0921-5093(94)09610-9

M. García, I. , P. , P. C. Tada, H. Bathias et al., Fatigue crack growth from small to large cracks on very high cycle fatigue with fish-eye failures, Engineering Fracture Mechanics, pp.1657-1665, 2008.

M. García, I. , P. , P. C. Tada, H. Bathias et al., 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, Materials Science, pp.120-128, 2007.

P. C. Paris, T. Palin-luc, H. Tada, and N. Saintier, Stresses and crack tip stress intensity factors around spherical and cylindrical voids and inclusions of differing elastic properties and with misfit sizes, Proceedings of International Conference on Crack Paths (FCP2009), pp.495-502, 2009.

T. Y. Wu, Modélisation de la fissuration en fatigue vibratoire à haute température, applications aux alliages à base de nickel, 1992.

T. Y. Wu and C. Bathias, Application of fracture mechanics concepts in ultrasonic fatigue, Engineering Fracture Mechanics, pp.683-690, 1994.

C. Bathias, There is not infinite fatigue life in metallic materials, Fatigue & Fracture of Engineering Materials and Structures, pp.559-565, 1999.

V. F. Terentev, On the problem of the fatigue limit on metallic materials, Metal Science and Heat Treatment 46, pp.244-249, 2004.

H. Mughrabi, Specific features and mechanisms of fatigue in the ultrahigh-cycle regime, International Journal of Fatigue, vol.28, issue.11, pp.1501-1508, 2006.
DOI : 10.1016/j.ijfatigue.2005.05.018

C. Bathias and P. C. Paris, Gigacycle Fatigue in Mechanical Practice, 2005.

H. P. Lieurade, La pratique des essais de fatigue, Societé française de métallurgie, PYC Édition, pp.27-35, 1982.