D. Arola-&-ramulu-arola and M. Ramulu, An Examination of the Effects from Surface Texture on the Strength of Fiber Reinforced Plastics, Journal of Composite Materials, vol.118, issue.3, pp.102-123, 1999.
DOI : 10.1177/002199839903300201

W. Arola, D. Arola, and C. L. Williams, Estimating the fatigue stress concentration factor of machined surfaces, International Journal of Fatigue, vol.24, issue.9, pp.923-930, 2002.
DOI : 10.1016/S0142-1123(02)00012-9

O. Basquin, The exponential law of endurance tests, Proc. ASTM, pp.625-630, 1910.

&. Beretta, . Boniardi, S. Beretta, and M. Boniardi, Fatigue strength and surface quality of eutectoid steel wires, International Journal of Fatigue, vol.21, issue.4, pp.329-335, 1999.
DOI : 10.1016/S0142-1123(98)00082-6

. Bhuiyan, The influence of mechanical surface treatments on fatigue behavior of extruded AZ61 magnesium alloy, Materials Science and Engineering: A, vol.549, issue.0, pp.549-69, 2012.
DOI : 10.1016/j.msea.2012.04.007

. Bouchard, Numerical modeling of self-pierce riveting???From riveting process modeling down to structural analysis, Journal of Materials Processing Technology, vol.202, issue.1-3, pp.1-3, 2008.
DOI : 10.1016/j.jmatprotec.2007.08.077
URL : https://hal.archives-ouvertes.fr/hal-00834966

. Busby, The relationship between hardness and yield stress in irradiated austenitic and ferritic steels, Journal of Nuclear Materials, vol.336, issue.2-3, pp.267-278, 2005.
DOI : 10.1016/j.jnucmat.2004.09.024

. Caminaga, Study of alternative lubricants to the cold extrusion of steel shafts, Journal of Materials Processing Technology, vol.182, issue.1-3, pp.1-3, 2007.
DOI : 10.1016/j.jmatprotec.2006.08.027

M. D. Chapetti, A simple model to predict the very high cycle fatigue resistance of steels, International Journal of Fatigue, vol.33, issue.7, pp.833-841, 2011.
DOI : 10.1016/j.ijfatigue.2010.12.010

V. Chomienne, Étude de l'influence de l'intégrité de surface en tournage de l'acier 15-5PH sur la tenue en fatigue en flexion rotative, 2014.

[. Van and K. , Macro-micro approach in high-cycle multiaxial fatigue, Advances in Multiaxial Fatigue, pp.120-130, 1993.

A. Deperrois, Calcul de la limite d'endurance des aciers, 1991.

&. Dixon, . Mood, W. Dixon, and A. Mood, A Method for Obtaining and Analyzing Sensitivity Data, Journal of the American Statistical Association, vol.43, issue.241, pp.109-126, 1948.
DOI : 10.2307/3001536

. Haddad, J integral applications for short fatigue cracks at notches, International Journal of Fracture, vol.11, issue.1, pp.15-30, 1980.
DOI : 10.1007/BF00042383

. Fathallah, High cycle fatigue behavior prediction of shot-peened parts, International Journal of Fatigue, vol.26, issue.10, pp.26-1053, 2004.
DOI : 10.1016/j.ijfatigue.2004.03.007

. Feng, Formation of short crack and its effect on fatigue properties of ultrasonic peening treatment S355 steel, Materials & Design, vol.89, pp.507-515, 2016.
DOI : 10.1016/j.matdes.2015.10.009

&. Froustey, . Lataillade, C. Froustey, and J. L. Lataillade, Influence of large pre-straining of aluminium alloys on their residual fatigue resistance, International Journal of Fatigue, vol.30, issue.5, pp.908-916, 2008.
DOI : 10.1016/j.ijfatigue.2007.06.011

. Gariety, Evaluation of new cold forging lubricants without zinc phosphate precoat, International Journal of Machine Tools and Manufacture, vol.47, issue.3-4, pp.3-4, 2007.
DOI : 10.1016/j.ijmachtools.2006.04.016

. Gariépy, Experimental and numerical investigation of material heterogeneity in shot peened aluminium alloy AA2024-T351, Surface and Coatings Technology, vol.219, issue.0, pp.219-234, 2013.
DOI : 10.1016/j.surfcoat.2012.12.046

. Garwood, Interpretation of tests and correlation with service, 1951.

W. Z. Gerber, Bestimmung der zulässigen spannungen in eisenconstructionen, pp.101-110, 1874.

&. Geuzaine, C. Remacle-]-geuzaine, and J. Remacle, Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.69, issue.4, pp.79-1309, 2009.
DOI : 10.1002/nme.2579

M. J. Gildersleeve, Relationship between decarburisation and fatigue strength of through hardened and carburising steels, Materials Science and Technology, vol.29, issue.6, pp.307-310, 1991.
DOI : 10.1111/j.1460-2695.1985.tb01201.x

E. J. Gumbel, Statistics of Extremes, 1958.

E. O. Hall, The Deformation and Ageing of Mild Steel: III Discussion of Results, Proceedings of the Physical Society. Section B, vol.64, issue.9, pp.747-753, 1951.
DOI : 10.1088/0370-1301/64/9/303

. Kang, Effect of prestrain on and prediction of fatigue limit in carbon steel, Fatigue Damage of Structural Materials {VI} The Sixth International Conference on Fatigue Damage of Structural Materials, pp.1855-1862, 2007.
DOI : 10.1016/j.ijfatigue.2007.01.024

. Kim, Residual stress relaxation and low- and high-cycle fatigue behavior of shot-peened medium-carbon steel, International Journal of Fatigue, vol.56, pp.114-122, 2013.
DOI : 10.1016/j.ijfatigue.2013.07.001

&. Kitagawa, . Takahashi, H. Kitagawa, and S. Takahashi, Applicability of fracture mechanics to very small cracks or cracks in the early stage, Proceedings of the second international conference on the mechanical behaviour of materials, pp.627-631, 1976.

. Libertiny, The effect of large prestrains on fatigue, Experimental Mechanics, vol.3, issue.2, pp.64-68, 1977.
DOI : 10.1007/BF02326428

&. Llorca, J. Sanchez-galvez-]-llorca, and V. Sanchez-galvez, Fatigue threshold determination in high strength cold drawn eutectoid steel wires, Engineering Fracture Mechanics, vol.26, issue.6, pp.869-882, 1987.
DOI : 10.1016/0013-7944(87)90035-X

J. Lu, Fatigue des alliages ferreux facteurs d'influence. Techniques de l'ingénieur Comportement en service des systèmes et composants mécaniques, base documentaire : TIB180DUO.(ref. article : bm5043), 2016.

&. Maxwell, . Nicholas, D. Maxwell, and T. Nicholas, A Rapid Method for Generation of a Haigh Diagram for High Cycle Fatigue, Fatigue and Fracture Mechanics American Society for Testing and Materials. ASTM STP1332, pp.626-641, 1999.
DOI : 10.1520/STP14974S

&. Mckelvey, S. A. Fatemi-mckelvey, and A. Fatemi, Surface finish effect on fatigue behavior of forged steel, International Journal of Fatigue, vol.36, issue.1, pp.130-145, 2012.
DOI : 10.1016/j.ijfatigue.2011.08.008

M. Miner, Cumulative damage in fatigue, Journal of Applied Mechanics, vol.12, issue.3, pp.159-164, 1945.

&. Morel, . Huyen, F. Morel, and N. Huyen, Plasticity and damage heterogeneity in fatigue, Theoretical and Applied Fracture Mechanics, pp.98-127, 2008.
DOI : 10.1016/j.tafmec.2007.10.006

R. Munier and Y. Murakami, Etude de la fatigue des aciers laminés à partir de l'autoéchauffement sous sollicitation cyclique : essais, observations, modélisation et influence d'une pré-déformation plastique Metal Fatigue : Effects of Small Defects and Nonmetallic Inclusions, 2002.

&. Murakami, . Endo, Y. Murakami, and M. Endo, Special issue : International conference on advanced materials mechanical properties '90 (icamp '90) quantitative evaluation of fatigue strength of metals containing various small defects or cracks, Engineering Fracture Mechanics, vol.17, issue.1, pp.1-15, 1983.

&. Murakami, . Endo, Y. Murakami, and M. Endo, Effects of hardness and crack geometries on ?k th of small cracks emanating from small defects, 1986.

&. Murakami, . Endo, Y. Murakami, and T. Endo, Effects of small defects on fatigue strength of metals, International Journal of Fatigue, vol.2, issue.1, pp.23-30, 1980.
DOI : 10.1016/0142-1123(80)90024-9

&. Murakami, . Usuki, Y. Murakami, and H. Usuki, Quantitative evaluation of effects of non-metallic inclusions on fatigue strength of high strength steels. II: Fatigue limit evaluation based on statistics for extreme values of inclusion size, International Journal of Fatigue, vol.11, issue.5, pp.299-307, 1989.
DOI : 10.1016/0142-1123(89)90055-8

H. Neuber, Kerbspannungslehre : Theorie der Spannungskonzentration, Genaue Berechnung der Festigkeit. Berlin, 1958.

&. Palin-luc, T. Lasserre-palin-luc, and S. Lasserre, An energy based criterion for high cycle multiaxial fatigue, European Journal of Mechanics - A/Solids, vol.17, issue.2, pp.237-251, 1998.
DOI : 10.1016/S0997-7538(98)80084-3
URL : https://hal.archives-ouvertes.fr/hal-01376427

. Pang, General relation between tensile strength and fatigue strength of metallic materials, Materials Science and Engineering: A, vol.564, issue.0, pp.564-331, 2013.
DOI : 10.1016/j.msea.2012.11.103

. Pessard, A mechanistic approach to the Kitagawa???Takahashi diagram using a multiaxial probabilistic framework, Engineering Fracture Mechanics, vol.109, pp.89-104, 2013.
DOI : 10.1016/j.engfracmech.2013.06.001
URL : https://hal.archives-ouvertes.fr/hal-00875771

N. J. Petch, The cleavage strength of polycrystals, Journal of the Iron and Steel Institute, vol.174, pp.25-28, 1953.

R. E. Peterson, Stress Concentration Factors, Journal of Applied Mechanics, vol.42, issue.1, 1974.
DOI : 10.1115/1.3423544

&. Petru?ka, . Janí?ek, J. Petru?ka, and L. Janí?ek, On the evaluation of strain inhomogeneity by hardness measurement of formed products, Journal of Materials Processing Technology, vol.143, issue.144, pp.143-144, 2003.
DOI : 10.1016/S0924-0136(03)00478-3

R. Pippan, Threshold and effective threshold of fatigue crack propagation in ARMCO iron I: The influence of grain size and cold working, Materials Science and Engineering: A, vol.138, issue.1, pp.1-13, 1991.
DOI : 10.1016/0921-5093(91)90671-9

&. Robert, . Mareau, C. Robert, and C. Mareau, A comparison between different numerical methods for the modeling of polycrystalline materials with an elastic???viscoplastic behavior, Computational Materials Science, vol.103, pp.134-144, 2015.
DOI : 10.1016/j.commatsci.2015.03.028

. Rudkins, Residual stresses in cold extrusion and cold drawing: a finite element and neutron diffraction study, Journal of Materials Processing Technology, vol.45, issue.1-4, pp.1-4, 1994.
DOI : 10.1016/0924-0136(94)90354-9

. Ås, Surface roughness characterization for fatigue life predictions using finite element analysis, International Journal of Fatigue, vol.30, issue.12, pp.30-2200, 2008.
DOI : 10.1016/j.ijfatigue.2008.05.020

. Sakamoto, Effect of fibprocessed sharp flaw on fatigue limit of shot peened medium carbon steel, Proceedings of the 12th International Conference on Shot Peening, pp.86-89, 2014.

. Sakamoto, Effect of surface flaw on fatigue strength of shot-peened medium-carbon steel, Engineering Fracture Mechanics, vol.133, pp.99-111, 2015.
DOI : 10.1016/j.engfracmech.2014.11.005

&. Smith, . Miller, R. A. Smith, and K. J. Miller, Fatigue cracks at notches, International Journal of Mechanical Sciences, vol.19, issue.1, pp.11-22, 1977.
DOI : 10.1016/0020-7403(77)90011-X

&. Sonmez, . Demir, F. O. Sonmez, and A. Demir, Analytical relations between hardness and strain for cold formed parts, Journal of Materials Processing Technology, vol.186, issue.1-3, pp.1-3, 2007.
DOI : 10.1016/j.jmatprotec.2006.12.031

. Suraratchai, Modelling the influence of machined surface roughness on the fatigue life of aluminium alloy, International Journal of Fatigue, vol.30, issue.12, pp.30-2119, 2008.
DOI : 10.1016/j.ijfatigue.2008.06.003

D. Tabor, The physical meaning of indentation and scratch hardness, British Journal of Applied Physics, vol.7, issue.5, pp.159-166, 1956.
DOI : 10.1088/0508-3443/7/5/301

D. Taylor, Geometrical effects in fatigue: a unifying theoretical model, International Journal of Fatigue, vol.21, issue.5, pp.413-420, 1999.
DOI : 10.1016/S0142-1123(99)00007-9

&. Tekkaya, . Lange, A. E. Tekkaya, and K. Lange, An Improved Relationship between Vickers Hardness and Yield Stress for Cold Formed Materials and its Experimental Verification, CIRP Annals - Manufacturing Technology, vol.49, issue.1, pp.205-208, 2000.
DOI : 10.1016/S0007-8506(07)62929-1

A. L. Thompson, The influence of grain and tlin boundaries in fatigue cracking, Acta Metallurgica, vol.20, issue.9, pp.1085-1094, 1972.
DOI : 10.1016/0001-6160(72)90172-1

. Toribio, Fatigue crack propagation in cold drawn steel, Materials Science and Engineering: A, vol.468, issue.470, pp.468-470, 2007.
DOI : 10.1016/j.msea.2006.07.172

. Toribio, Fatigue and fracture paths in cold drawn pearlitic steel, International Conference on Crack Paths, pp.2024-2032, 2009.
DOI : 10.1016/j.engfracmech.2010.02.003

. Verpoest, The fatigue threshold, surface condition and fatigue limit of steel wire???, International Journal of Fatigue, vol.7, issue.4, pp.199-214, 1985.
DOI : 10.1016/0142-1123(85)90051-9

L. Wagner, Mechanical surface treatments on titanium, aluminum and magnesium alloys, Materials Science and Engineering: A, vol.263, issue.2, pp.210-216, 1999.
DOI : 10.1016/S0921-5093(98)01168-X

H. Yahiaoui, Effet de l'espacement interlamellaire sur le comportement sous chargements monotone et cyclique de l'acier perlitique C70, 2013.
URL : https://hal.archives-ouvertes.fr/pastel-01062071

. Zimmermann, Prehistory effects on the VHCF behaviour of engineering metallic materials with different strengthening mechanisms, 15th International conference on the strength of Materials (ICSMA-15), 2010.
DOI : 10.1088/1742-6596/240/1/012040