F. J. Espadafor, J. B. Villanueva, and M. T. Garcia, Analysis of a diesel generator crankshaft failure, Engineering Failure Analysis, vol.16, pp.2333-2341, 2009.

M. Fonte and M. De-freitas, Marine main engine crankshaft failure analysis: a case study, Engineering Failure Analysis, vol.16, pp.1940-1947, 2009.

H. Bayrakçeken, S. Tasgetiren, and F. Aksoy, Failure of a single cylinder engines crank shafts, Eng Fail Anal, vol.14, pp.725-755, 2007.

O. Asi, Failure analysis of a crankshaft made from ductile cast iron, Engineering Failure Analysis, vol.13, pp.1260-1267, 2006.

C. Wang, C. Zhao, and D. Wang, Analysis of an unusual crankshaft failure, Engineering Failure Analysis, vol.12, pp.465-473, 2004.

R. K. Pandey, Failure of diesel-engine crankshaft, Engineering Failure Analysis, vol.10, pp.165-175, 2003.

F. S. Silva, Analysis of vehicle crankshaft failure, Engineering Failure Analysis, vol.10, pp.605-616, 2003.

S. K. Bhaumik, R. Rangaragu, M. A. Venkataswamy, T. A. Bhaskaran, and M. A. Parameswara, Fatigue fracture of crankshaft of an aircraft engine, Engineering Failure Analysis, vol.9, pp.255-263, 2001.

E. K. Walker, The effect of stress ratio during crack propagation and fatigue for 2024-T3 and 7076-T6 aluminum, Effect of environment and complex load history on fatigue life, ASTM STP 462, pp.1-14, 1970.

R. G. Forman, Study of fatigue crack initiation from flaws using fracture mechanics theory, Engineering Fracture Mechanics, vol.4, issue.2, pp.333-345, 1972.

J. E. Collipriest, An experimentalist's view of the surface flaw problem. The Surface Crack: Physical Problems and Computational Solutions, pp.43-62, 1972.

A. J. Mcevily, Phenomenological and microstructural aspects of fatigue. Presented at the Third International Conference on the Strength of Metals and Alloys, The Institute and The Iron and Steel Institutes, vol.36, pp.204-213, 1974.

P. C. Paris and F. Erdogan, A critical analysis of crack propagation laws, Journal of Basic Engineering, vol.85, pp.528-534, 1960.

W. Elber, The significance of fatigue crack closure, ASTM STP, vol.415, pp.230-242, 1971.

F. V. Antunesa, D. M. Rodriguesa, and R. Brancob, An analytical model of plasticity induced crack closure, Procedia Engineering, vol.2, pp.1005-1014, 2010.

P. F. De-matos and D. Nowell, Numerical simulation of plasticity induced fatigue crack closure with emphasis on the crack growth scheme: 2D and 3D analyses, Engineering Fracture Mechanics, issue.75, pp.2087-2114, 2008.

M. Andersson, C. Persson, and S. Melin, Experimental and numerical investigation of crack closure measurements with electrical potential drop technique, International Journal of Fatigue, vol.28, pp.1059-1068, 2006.

T. David, The definition and measurement of crack closure, Engineering Fracture Mechanics, vol.43, pp.109-115, 1992.

D. Shaw and I. May, Crack closure during fatigue crack propagation, ASTM, vol.34916, pp.233-241, 1979.

C. K. Clark and G. C. Cassatt, A study of fatigue crack closure using electric potential and compliance techniques, Engineering Fracture Mechanics, vol.9, pp.671-688, 1977.

J. Schijve, Fatigue crack closure: observation and technical significance, ASTM-STP, vol.982, pp.5-34

B. L. Josefson, T. Svensson, J. W. Ringgsberg, T. Gustafsson, and J. De-mare, Fatigue life and crack closure in specimens subjected to variable amplitude loads under plain strain conditions, Engineering fracture mechanics, vol.66, pp.587-600, 2000.

M. N. James, Some unresolved issues with fatigue crack closure measurement, mechanism and interpretation problems, advances in fracture research, Proceedings of the Ninth International Conference on Fracture, vol.5, pp.2403-2414, 1997.

D. E. Macha, D. M. Corby, and J. W. Jones, On the variation of fatigue crack-opening load with measurement location, Proc Soc Exp Stress Analysis, vol.36, pp.207-213, 1979.

C. S. Shin and R. A. Smith, Fatigue crack growth from sharp notches, International Journal of Fatigue, vol.7, pp.87-93, 1985.

J. R. Rice, A path independent integral and the approximate analysis of strain concentration by notches and cracks, Journal of applied mechanics, vol.35, pp.379-386, 1968.

C. F. Shih, Relationship between the J-integral and the crack opening displacement for stationary and extending cracks, J. Mech. Phys. Solids, vol.29, pp.305-326, 1981.

N. E. Dowling and J. A. Begley, Fatigue Crack Growth During Gross Plasticity and the J-integral in Mechanics of Crack Growth, ASTM, vol.590, pp.82-102, 1976.

J. Carroll, C. Efstathiou, J. Lambros, H. Sehitoglu, B. Hauber et al., Investigation of fatigue crack closure using multiscale image correlation experiments, Engineering Fracture Mechanics, vol.76, pp.2384-2398, 2009.

D. Nowell, M. E. Kartal, and P. F. De-matos, Digital image correlation measurement of near-tip fatigue crack displacement fields: constant amplitude loading and load history effects, Fatigue Fract Engng Mater Struct, vol.36, pp.3-13, 2013.

J. D. Carrol, W. Abuzaid, J. Lambros, and H. Sehitoglu, High resolution digital image correlation measurements of strain accumulation in fatigue crack growth, International Journal of Fatigue, vol.57, pp.140-150, 2013.

M. A. Sutton, W. Zhao, S. R. Mcneill, J. D. Helm, R. S. Piascik et al., Local crack closure measurement: development of a measurement system using computer vision and a far-field microscope, ASTM-STP, pp.145-156, 1999.

D. S. Dawicke and M. A. Sutton, CTOA and cracktunneling measurements in thin sheet 2024-T3 aluminum alloy, Exp. Mech, vol.34, issue.4, pp.357-368, 1994.

F. Yusof and P. J. Withers, Real-time acquisition of fatigue crack images for monitoring crack-tip stress intensity variations within fatigue cycles, J. Strain Anal. Eng. Des, vol.44, issue.2, pp.149-158, 2009.

P. López-crespo, A. Shterenlikht, E. A. Patterson, P. J. Withers, and J. R. Yates, The stress intensity of mixed mode cracks determined by digital image correlation, J. Strain Anal, vol.43, pp.769-780, 2008.

S. Roux and F. Hild, Stress intensity factor measurements from digital image correlation: post processing and integrated approach, Int. J. Fract, vol.140, pp.141-157, 2006.

T. H. Becker, M. Mostafavi, R. B. Tait, and T. J. Marrow, An approach to calculate the J-integral by digital image correlation displacement field measurement, Fatigue Fract. Eng. Mater. Struct, vol.35, pp.971-984, 2012.

C. B. Ould, A. Imad, and M. Benguediab, Influence of the cyclic plastic zone size on the propagation of the fatigue crack in case of 12NC6 steel, Comput. Mater. Sci, vol.43, pp.1010-1017, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00373810

-. Vic and . Manuel, , 2009.

M. Mostafavi and T. J. Marrow, In situ observation of crack nuclei in poly-granular graphite under ring-on-ring equi-biaxial and flexural loading, Eng. Fract. Mech, vol.78, issue.8, pp.1756-1770, 2011.

M. A. Sutton, J. H. Yan, V. Tiwari, H. W. Schreier, and J. J. Orteu, The effect of out-of-plane motion on 2D and 3D digital image correlation measurements, Opt. Lasers Eng, vol.46, pp.746-757, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01644893

M. Baccar, M. Shah, V. Velay, C. Mabru, and F. Rézaïaria, Analysis of crack propagation and crack tip opening displacements by measurements 2-D digital image correlation in a hot working tool steel, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01760273

M. Shah, C. Mabru, and F. Rézaï-aria, Investigation of crack propagation in X38CrMoV5 (AISI H11) tool steel at elevated temperatures, Procedia Eng, vol.2, pp.2045-2054, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01666701

A. B. El-shabasy and J. J. Lewandowski, Effects of load ratio, R, and test temperature on fatigue crack growth of fully pearlitic eutectoid steel (fatigue crack growth of pearlitic steel), Int. J. Fatigue, vol.26, pp.305-309, 2004.

J. Ding, R. Hall, and J. Byrn, Effects of stress ratio and temperature on fatigue crack growth in a Ti-6Al-4V alloy, Int. J. Fatigue, vol.27, pp.1551-1558, 2005.

R. M. Pelloux, Mechanisms of formation of ductile fatigue striations, Trans ASM, vol.62, pp.281-285, 1969.

P. Neumann, Coarse slip model in fatigue, Acta Metall, vol.17, pp.1219-1225, 1969.

C. L. Chow and T. J. Lu, Cyclic J-integral in relation to fatigue crack initiation and propagation, Eng. Fract. Mech, vol.39, issue.1, pp.1-20, 1991.

A. Ktari, N. Haddar, A. Köster, M. Toure, and A. , Numerical computation of thermal fatigue crack growth of cast iron, Fatigue Fract. Eng. Mater. Struct, vol.34, pp.498-509, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00607081

G. Gasiak and D. Rozumek, ?J-integral range estimation for fatigue crack growth rate description, Int. J. Fatigue, vol.26, pp.135-140, 2004.

L. Banks-sills and Y. Volpert, Application of cyclic Jintegral to fatigue crack propagation of Al 2024-T351, Eng. Fract. Mech, vol.40, issue.2, pp.355-370, 1991.

C. L. Chow and T. J. Lu, On the cyclic J-integral applied to fatigue cracking, Int. J. Fract, vol.40, pp.53-59, 1989.

J. W. Hutchinson, Plastic stress and strain fields at crack tip, J. Mech. Phys. Solids, vol.16, pp.337-342, 1968.

D. M. Tracey, Finite element solutions for crack-tip behavior in small-scale yielding, ASME, Trans., Ser. H-J. Eng. Mater. Technol, vol.98, pp.146-151, 1976.

R. M. Mcmeeking, Finite deformation analysis of cracktip opening in elastic-plastic materials and implications for fracture, J. Mech. Phys. Solids, vol.25, issue.5, pp.357-381, 1977.

F. A. Mcclintock, Plasticity aspects of fracture, Fract. adv. treatise, vol.3, pp.47-225, 1971.

J. Rice and G. F. Rosengren, Plane strain deformation near a crack tip in a power-law hardening material, J. Mech. Phys. Solids, vol.16, pp.1-12, 1968.

M. Shah, Investigation of crack propagation in X38CrMoV5 tool steel at room temperature and 600 °C on small scale specimens, 2010.