B. Atzori, S. Filippi, P. Lazzarin, and F. Berto, Stress distributions in notched structural components under pure bending and combined traction and bending, Fatigue <html_ent glyph="@amp;" ascii="&"/> Fracture of Engineering Materials and Structures, vol.91, issue.1-2, pp.13-23, 2005.
DOI : 10.1016/j.ijfatigue.2003.06.001

H. D. Bui and A. Oueslati, Solutions exactes de fissure d'interface sous contact frottant avec un milieu ind??formable, Comptes Rendus M??canique, vol.332, issue.9, pp.709-716, 2004.
DOI : 10.1016/j.crme.2004.04.008

C. S. Shin, Fatigue crack growth from stress concentrations and fatigue life predictions in notched components, pp.613-652, 1994.

D. Kujawski, ESTIMATIONS OF STRESS INTENSITY FACTORS FOR SMALL CRACKS AT NOTCHES, Fatigue & Fracture of Engineering Materials and Structures, vol.229, issue.10, pp.953-965, 1991.
DOI : 10.1007/BF00182890

M. Ferjani, Intégration des phénomènes dynamiques dans l'analyse en fatigue des garnitures de forage, 2007.

M. Ferjani, A. Constantinescu, and D. Averbuch, A computational approach for the fatigue design of threaded connections Submitted to, Int. J. Fatigue, 2010.

S. Filippi and P. Lazzarin, Distributions of the elastic principal stress due to notches in finite size plates and rounded bars uniaxially loaded, International Journal of Fatigue, vol.26, issue.4, pp.377-391, 2004.
DOI : 10.1016/j.ijfatigue.2003.06.001

S. Filippi, P. Lazzarin, and R. Tovo, Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates, International Journal of Solids and Structures, vol.39, issue.17, pp.4543-4565, 2002.
DOI : 10.1016/S0020-7683(02)00342-6

N. E. Frost, Non-propagating cracks in vee-notched specimens subject to fatigue loading. The Aeronautical Quarterly, pp.1-20, 1957.

G. Glinka and A. Newport, Universal features of elastic notch-tip stress fields, International Journal of Fatigue, vol.9, issue.3, pp.143-150, 1987.
DOI : 10.1016/0142-1123(87)90069-7

F. Hofmann, G. Bertolino, A. Constantinescu, and M. Ferjani, A multiscale discussion of fatigue and shakedown for notched structures. Theoretical and Applied Fracture Mechanics, pp.140-151, 2007.

F. Hofmann, G. Bertolino, A. Constantinescu, and M. Ferjani, Numerical exploration of the Dang Van high cycle fatigue criterion: application to gradient effects, Journal of Mechanics of Materials and Structures, vol.4, issue.2, pp.293-308, 2009.
DOI : 10.2140/jomms.2009.4.293

J. Jäger, Half-planes without coupling under contact loading, ASME J. Appl. Mech, vol.67, pp.247-259, 1997.

K. Tanaka, Engineering formulae for fatigue strength reduction due to crack-like notches, International Journal of Fracture, vol.11, issue.2, pp.39-45, 1983.
DOI : 10.1007/BF00942722

P. Lazzarin and R. Tovo, A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches, International Journal of Fracture, vol.18, issue.1, pp.3-19, 1996.
DOI : 10.1007/BF00018497

M. Creager and P. Paris, Elastic field equations for blunt cracks with reference to stress corrosion cracking, International Journal of Fracture Mechanics, vol.3, issue.4, pp.247-252, 1967.
DOI : 10.1007/BF00182890

A. S. Milyayev, The action of a concentrated force inside an elastic half-plane with a step, Journal of Applied Mathematics and Mechanics, vol.66, issue.5, pp.93-100, 2002.
DOI : 10.1016/S0021-8928(02)90010-9

M. L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in tension, ASME J. Appl. Mech, vol.19, pp.526-528, 1952.

F. Morel and T. Palin-luc, A non-local theory applied to high cycle multiaxial fatigue, Fatigue <html_ent glyph="@amp;" ascii="&"/> Fracture of Engineering Materials and Structures, vol.21, issue.7, pp.649-665, 2002.
DOI : 10.1016/0093-6413(91)90054-Z

URL : https://hal.archives-ouvertes.fr/hal-01376167

N. I. Mushkelishvili, Some Basics Problems of the Mathematical Theory of Elasticity, Noordhoof Leyden, 1953.

H. Neuber, Theory of notch stresses: Principles for exact stress calculation, 1958.

P. Lazzarin, R. Tovo, and G. Meneghetti, Fatigue crack initiation and propagation phases near notches in metals with low notch sensitivity, International Journal of Fatigue, vol.19, issue.8-9, pp.8-9647, 1997.
DOI : 10.1016/S0142-1123(97)00091-1

I. V. Papadopoulos and V. P. Panoskaltsis, Invariant formulation of a gradient dependent multiaxial high-cycle fatigue criterion, Engineering Fracture Mechanics, vol.55, issue.4, pp.513-528, 1996.
DOI : 10.1016/S0013-7944(96)00047-1

G. Pluvinage, Fatigue and fracture emanating from notch; the use of the notch stress intensity factor, Nuclear Engineering and Design, vol.185, issue.2-3, pp.173-184, 1998.
DOI : 10.1016/S0029-5493(98)00183-6

D. L. Du-quesnay, M. T. Yu, and T. H. Topper, An analysis of notch-size effects at the fatigue limit, J. Testing & Mat, vol.16, issue.4, pp.375-385, 1988.

R. Xu, J. C. Thompson, and T. T. , PRACTICAL STRESS EXPRESSIONS FOR STRESS CONCENTRATION REGIONS, Fatigue & Fracture of Engineering Materials & Structures, vol.11, issue.7-8, pp.885-895, 1995.
DOI : 10.1111/j.1460-2695.1995.tb00912.x

G. N. Savin, Stress Concentration Around Holes, 1961.

J. Schijve, STRESS GRADIENTS AROUND NOTCHES, Fatigue & Fracture of Engineering Materials and Structures, vol.15, issue.4, pp.325-332, 1982.
DOI : 10.1111/j.1460-2695.1980.tb01382.x

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

M. L. Williams, The Bending Stress Distribution at the Base of a Stationary Crack, Journal of Applied Mechanics, vol.28, issue.1, pp.109-114, 1957.
DOI : 10.1115/1.3640470