A. Buczynski and G. , Glinka An analysis of elasto-plastic strains and stresses in notched bodies subjected to cyclic non-proportional loading paths, pp.265-283, 2003.

G. Cailletaud and P. , Pilvin Utilisation de modèles polycristallins pour le calcul par éléments finis, Revue Européenne des Eléments Finis, pp.515-541, 1994.
DOI : 10.1080/12506559.1994.10511147

A. Darlet and R. Desmorat, Stress Triaxiality at Free Edges in Elastoplastic Structures, International Symposium on Plasticity and Its Current Applications, 2013.
DOI : 10.1016/j.ijsolstr.2015.03.006

URL : https://doi.org/10.1016/j.ijsolstr.2015.03.006

A. Deperrois and K. , Dang Van Inclusions de surface et singularité Épine, C. R. Acad. Sci. Paris, Série IIb, vol.31, pp.1285-1290, 1990.

R. Desmorat, Fast estimation of localized plasticity and damage by energetic methods, International Journal of Solids and Structures, vol.39, issue.12, pp.3289-3310, 2002.
DOI : 10.1016/S0020-7683(02)00002-1

C. Doudard, S. Calloch, P. Cugy, A. Galtier, and F. , Hild A probabilistic two-scale model for high-cycle fatigue life predictions, Fatigue & Fracture of Engineering Materials & Structures, pp.279-288, 2005.

J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, related problems, Proc, pp.241-376, 1957.

L. Flaceliere, F. Morel, and A. , Dragon Coupling Between Mesoplasticity and Damage in High-cycle Fatigue, International Journal of Damage Mechanics, pp.473-509, 2007.
DOI : 10.1177/1056789506067935

URL : https://hal.archives-ouvertes.fr/hal-00571160/document

T. Herbland, Modélisation de la fatigue des alliages métalliques sous chargement 3D aléatoire, Thèse de doctorat, 2009.

E. Kröner, On the plastic deformation of polycrystals, Acta Metall, pp.155-161, 1961.

J. Lemaitre and I. Doghri, Damage 90: a post processor for crack initiation, Computer Methods in Applied Mechanics and Engineering, vol.115, issue.3-4, pp.115-197, 1994.
DOI : 10.1016/0045-7825(94)90060-4

J. Lemaitre, J. P. Sermage, and R. Desmorat, A two scale damage concept applied to fatigue, International Journal of Fracture, pp.67-81, 1999.

K. Molski and G. Glinka, A method of elastic-plastic stress and strain calculation at a notch root, Materials Science and Engineering, vol.50, issue.1, pp.93-100, 1981.
DOI : 10.1016/0025-5416(81)90089-6

H. Neuber, Theory of Stress Concentration for Shear-Strained Prismatical Bodies With Arbitrary Nonlinear Stress-Strain Law, Journal of Applied Mechanics, vol.28, issue.4, pp.544-550, 1961.
DOI : 10.1115/1.3641780

M. Sauzay and P. , Gilormini Inclusion élastoplastique en surface, C.R. Acad. Sci. Paris, Série IIb, vol.328, pp.117-122, 2000.
DOI : 10.1016/s1287-4620(00)00108-3

J. P. Sermage, Fatigue thermique multiaxiale à température variable, Thèse de doctorat, 1998.