H. Dannineg, Gigacycle fatigue behavior of a high chromium alloyed cold work tool steel, Int. J. Fatigue, vol.30, pp.1137-1149, 2008.

W. Li, T. Sakai, Q. Li, L. T. Lu, and P. Wang, Effect of loading type on fatigue properties of high strength bearing steel in very high cycle regime, Materials Science and Engineering: A, vol.528, issue.15, pp.5044-5052, 2011.
DOI : 10.1016/j.msea.2011.03.020

W. P. Mason, Internal Friction and Fatigue in Metals at Large Strain Amplitudes, The Journal of the Acoustical Society of America, vol.28, issue.6, pp.1207-1218, 1956.
DOI : 10.1121/1.1908595

C. Bathias, P. C. Paris, and A. Risitano, Gigacycle Fatigue in Mechanical Practice. CRC Dekker Thermographic methodology for rapid determination of the fatigue limit of materials and mechanical components, Int. J. Fatigue, vol.22, pp.65-73, 2000.

G. Fargione, G. Geraci, A. Larosa, and A. Risitano, Rapid determination of the fatigue curve by the thermographic method, International Journal of Fatigue, vol.24, issue.1, pp.11-19, 2002.
DOI : 10.1016/S0142-1123(01)00107-4

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

N. Ranc, T. Palin-luc, and P. C. Paris, Thermal effect of plastic dissipation at the crack tip on the stress intensity factor under cyclic loading, Engineering Fracture Mechanics, vol.78, issue.6, pp.961-972, 2011.
DOI : 10.1016/j.engfracmech.2010.11.010
URL : https://hal.archives-ouvertes.fr/hal-01057941

R. W. Hertzberg, Deformation and Fracture Mechanics of Engineering Materials, Journal of Engineering Materials and Technology, vol.99, issue.1, 1996.
DOI : 10.1115/1.3443416

H. 11-tada, P. C. Paris, G. R. Irwin, N. Asme, A. E. York et al., The Stress Analysis of Crack Handbook Analysis of heat sources accompanying the fatigue of 2024 t3 aluminium alloys, Int. J. Fatigue, vol.12, issue.29, pp.977-984, 2000.

G. Taylor and H. Quinney, The latent heat remaining in a metal after cold work, Proc. Roy. Soc. A163, pp.157-181, 1937.

J. 14-simo and C. Miehe, Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation, Computer Methods in Applied Mechanics and Engineering, vol.98, issue.1, pp.41-104, 1992.
DOI : 10.1016/0045-7825(92)90170-O

N. W. Klingbeil, A total dissipated energy theory of fatigue crack growth in ductile solids, International Journal of Fatigue, vol.25, issue.2, pp.117-128, 2003.
DOI : 10.1016/S0142-1123(02)00073-7

I. 16-marines-garcia, P. C. Paris, H. Tada, C. Bathias, and D. Lados, Fatigue crack growth from small to large cracks on very high cycle fatigue with fish-eye failures, Engineering Fracture Mechanics, vol.75, issue.6, pp.1657-1665, 2008.
DOI : 10.1016/j.engfracmech.2007.05.015

F. 18-ellyin and F. Ozah, 3D modelling of plasticity induced fatigue crack closure-effect of material constitutive relations, Engineering Fracture Mechanics, vol.77, issue.11, pp.1693-1707, 2010.
DOI : 10.1016/j.engfracmech.2010.01.016

K. Wu, J. Ni, and C. Bathias, An automatic ultrasonic fatigue testing system for studying low crack growth at room and high temperatures. ASTM Spec, pp.598-607, 1994.
DOI : 10.1520/stp13973s

C. 20-bathias, Piezoelectric fatigue testing machines and devices, International Journal of Fatigue, vol.28, issue.11, pp.1438-1445, 2006.
DOI : 10.1016/j.ijfatigue.2005.09.020

P. C. Paris, I. Marines-garcia, R. W. Hertzberg, and J. K. Donald, The relationship of effective stress intensity, elastic modulus and burger's vector on fatigue crack growth as associated with fish-eye gigacycle phenomena, Proceedings of the Third International Conference on Very High-Cycle Fatigue, 2004.