P. Ballard, D. Van, K. Deperrois, A. Papadopoulos, and Y. V. , HIGH CYCLE FATIGUE AND A FINITE ELEMENT ANALYSIS, Fatigue & Fracture of Engineering Materials and Structures, vol.2, issue.4, pp.397-411, 1995.
DOI : 10.1016/0093-6413(77)90007-6

S. Beretta and Y. Murakami, SIF and threshold for small cracks at small notches under torsion, Fatigue <html_ent glyph="@amp;" ascii="&"/> Fracture of Engineering Materials and Structures, vol.23, issue.2, pp.97-104, 2000.
DOI : 10.1046/j.1460-2695.2000.00260.x

P. O. Bouchard, S. Fayolle, and K. Mocellin, 3D Numerical Modeling of Mechanical Joining Processes ? From Joining down to Structural Analysis, The Eighth International Conference on Computational Structures Technology, pp.12-15

N. Caillet, P. Bouchard, and Y. Chastel, Multiaxial Approach of Murakami Equation and Applications to Forged Parts, 4th International Conference on Fracture and Damage Mechanics, 2005.

T. Coupez, H. Digonnet, and R. Ducloux, Parallel meshing and remeshing, Applied Mathematical Modelling, vol.25, issue.2, pp.153-175, 2000.
DOI : 10.1016/S0307-904X(00)00045-7

URL : https://hal.archives-ouvertes.fr/hal-00536635

D. Van, K. Griveau, B. Message, and O. , On a new multiaxial fatigue limit criterion: Theory and application, Biaxial and Multiaxial Fatigue, vol.3, pp.479-496, 1989.

A. Ekberg and P. Sotkovszki, Anisotropy and rolling contact fatigue of railway wheels, International Journal of Fatigue, vol.23, issue.1, pp.29-43, 2001.
DOI : 10.1016/S0142-1123(00)00070-0

L. Fourment, T. T. Do, A. Habbal, and M. Bouzaiane, Gradient, non-gradient and hybrid algorithms for optimizing 2D and 3D forging sequences, th International ESAFORM Conference on Material Forming, 2005.
DOI : 10.1063/1.2740856

H. Hopp and P. Reeve, An algorithm for computing the minimum covering sphere in any dimension, 1996.

H. Kitagawa and S. Takahashi, Applicability of fracture mechanics to very small cracks or the cracks in the early stage, Proceedings 2 nd Int. Conference Mech. Behaviour Mater. ICM2, pp.627-631, 1976.

Y. Murakami and M. Endo, Effects of defects, inclusions and inhomogeneities on fatigue strength, International Journal of Fatigue, vol.16, issue.3, pp.163-182, 1994.
DOI : 10.1016/0142-1123(94)90001-9

Y. Murakami and M. Endo, Quantitative evaluation of fatigue strength of metals containing various small defects or cracks, Engineering Fracture Mechanics, vol.17, issue.1, pp.1-15, 1983.