R. Mcclung, A literature survey on the stability and significance of residual stresses during fatigue, Fatigue & Fracture of Engineering Materials and Structures, vol.8, issue.3, pp.173-205, 2007.
DOI : 10.1520/STP35552S

D. Antolovich, Microstructural aspects of fatigue in Ni-base superalloys, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.122, issue.2038, pp.1-36, 2015.
DOI : 10.1115/1.482801

M. Chaudonneret, A Simple and Efficient Multiaxial Fatigue Damage Model for Engineering Applications of Macro-Crack Initiation, Journal of Engineering Materials and Technology, vol.115, issue.4, pp.115373-379, 1993.
DOI : 10.1115/1.2904232

G. Boittin, D. Locq, A. Rafray, P. Caron, P. Kanouté et al., Influence of ?' precipitate size and distribution on LCF behavior of a PM disk superalloy, Superalloys 2012, pp.167-176, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00743347

A. Korsunsky, The modelling of residual stresses due to surface peening using eigenstrain distributions, The Journal of Strain Analysis for Engineering Design, vol.35, issue.8, pp.817-824, 2005.
DOI : 10.1007/978-94-011-9306-1

W. Cao, M. Khadhraoui, B. Brenier, J. Guédou, and L. Castex, Thermomechanical relaxation of residual stress in shot peened nickel base superalloy, Materials Science and Technology, vol.447, issue.11, pp.947-954, 1994.
DOI : 10.1016/0029-5493(89)90088-5

M. Khadhraoui, W. Cao, L. Castex, and J. Guédou, Experimental investigations and modelling of relaxation behaviour of shot peening residual stresses at high temperature for nickel base superalloys, Materials Science and Technology, vol.7, issue.4, pp.360-367, 1997.
DOI : 10.1051/jp3:1991160

A. Evans, S. Kim, J. Shackleton, G. Bruno, M. Preuss et al., Relaxation of residual stress in shot peened Udimet 720Li under high temperature isothermal fatigue, Damage of Structural Materials {V5th} International Conference on Fatigue Damage of Structural Materials, pp.10-121530, 2005.
DOI : 10.1016/j.ijfatigue.2005.07.027

R. John, D. Buchanan, M. Caton, and S. Jha, Stability of shot peen residual stresses in IN100 subjected to creep and fatigue loading, Procedia Engineering, vol.2, issue.1, pp.1887-1893, 2010.
DOI : 10.1016/j.proeng.2010.03.203

H. Stone, R. Reed, and T. Holden, Determination of the plane specific elastic constants of waspaloy using neutron diffraction, Scripta Materialia, vol.40, issue.3, pp.1797-1808, 1999.
DOI : 10.1016/S1359-6462(98)00437-0

H. Stone, T. Holden, and R. Reed, On the generation of microstrains during the plastic deformation of Waspaloy, Acta Materialia, vol.47, issue.17, pp.4435-4448, 1999.
DOI : 10.1016/S1359-6454(99)00314-6

L. Connor, H. Stone, D. Collins, M. Preuss, M. Hardy et al., The Effect of Cooling Rate from Solution on the Lattice Misfit During Isothermal Aging of a Ni-Base Superalloy, Metallurgical and Materials Transactions A, vol.40, issue.5, pp.2436-2444, 2014.
DOI : 10.1016/j.ijplas.2013.08.009

M. Preuss, J. Da-fonseca, B. Grant, E. Knoche, R. Moat et al., The Effect of γ' Particle Size on the Deformation Mechanism in an Advanced Polycrystalline Nickel-Base Superalloy, Superalloys 2008 (Eleventh International Symposium), 2008.
DOI : 10.7449/2008/Superalloys_2008_405_414

D. Buchanan and R. John, Relaxation of shot-peened residual stresses under creep loading, Scripta Materialia, vol.59, issue.3, pp.286-289, 2008.
DOI : 10.1016/j.scriptamat.2008.03.021

D. Child, G. West, and R. Thomson, Assessment of surface hardening effects from shot peening on a Ni-based alloy using electron backscatter diffraction techniques, Acta Materialia, vol.59, issue.12, pp.4825-4834, 2011.
DOI : 10.1016/j.actamat.2011.04.025

B. Foss, S. Gray, M. Hardy, S. Stekovic, D. Mcphail et al., Analysis of shot-peening and residual stress relaxation in the nickel-based superalloy RR1000, Acta Materialia, vol.61, issue.7, pp.612548-2559, 2013.
DOI : 10.1016/j.actamat.2013.01.031

O. Messé, S. Stekovic, M. Hardy, and R. C. , Characterization of Plastic Deformation Induced by Shot-Peening in a Ni-Base Superalloy, JOM, vol.36, issue.892, pp.2502-2515, 2014.
DOI : 10.1002/9781118516430.ch83

D. Viereck, D. Lhe, O. Vhringer, and E. Macherauch, Relaxation of residual stresses in nickel-base superalloy due to dislocation creep, International conference of strength of metals and alloys 9, pp.14-19, 1991.

W. Musinski and D. Mcdowell, On the eigenstrain application of shot-peened residual stresses within a crystal plasticity framework: Application to Ni-base superalloy specimens, International Journal of Mechanical Sciences, vol.100, pp.195-208, 2015.
DOI : 10.1016/j.ijmecsci.2015.06.020

R. Barabash and G. Ice, Strain and Dislocation Gradients from Diffraction: Spatially-Resolved Local Structure and Defects, 2014.
DOI : 10.1142/p897

K. Kang, N. Yao, M. He, and A. Evans, A method for in situ measurement of the residual stress in thin films by using the focused ion beam, Thin Solid Films, vol.443, issue.1-2, pp.71-77, 2003.
DOI : 10.1016/S0040-6090(03)00946-5

A. Korsunsky, M. Sebastiani, and E. Bemporad, Focused ion beam ring drilling for residual stress evaluation, Materials Letters, vol.63, issue.22, 2009.
DOI : 10.1016/j.matlet.2009.06.020

E. Salvati, A. Lunt, S. Ying, T. Sui, H. Zhang et al., Eigenstrain reconstruction of residual strains in an additively manufactured and shot peened nickel superalloy compressor blade, Computer Methods in Applied Mechanics and Engineering, vol.320, pp.335-351, 2017.
DOI : 10.1016/j.cma.2017.03.005

M. Benedetti, V. Fontanari, B. Winiarski, M. Allahkarami, and H. J. , Residual stresses reconstruction in shot peened specimens containing sharp and blunt notches by experimental measurements and finite element analysis, International Journal of Fatigue, vol.87, pp.102-111, 2016.
DOI : 10.1016/j.ijfatigue.2016.01.020

E. Müller, Das sin 2 ?-verfahren der röntgenographischen spannungsmessung, Z angew Phys, vol.13, issue.7, pp.305-312, 1961.

B. Ortner, Rontgenographische spannungsmessung an einkristallinen proben, pp.49-68, 1983.

B. Ortner, The choice of lattice planes in X-ray strain measurements of single crystals, Adv X-Ray Anal, vol.29, pp.113-118, 1985.

A. Morançais, F. `-evre, M. François, M. Guel, N. Kruch et al., Residual stress determination in a shot-peened nickel-based single-crystal superalloy using X-ray diffraction, Journal of Applied Crystallography, vol.48, issue.6, pp.1761-1776, 2015.
DOI : 10.1107/S1600576715017689

S. Wlodek, M. Kelly, and A. D. , The strucuture of N18, In: SD Antolovich RM RW Stusrud, pp.467-471, 1992.

O. Ulrich, X. Biquard, P. Bleuet, O. Geaymond, P. Gergaud et al., A new white beam x-ray microdiffraction setup on the BM32 beamline at the European Synchrotron Radiation Facility, Review of Scientific Instruments, vol.82, issue.3, p.33908, 2011.
DOI : 10.1038/415887a

O. Robach, J. Micha, O. Ulrich, and P. Gergaud, Full local elastic strain tensor from Laue microdiffraction: simultaneous Laue pattern and spot energy measurement, Journal of Applied Crystallography, vol.35, issue.12, pp.688-696, 2011.
DOI : 10.1016/j.micron.2004.02.004

J. Micha and O. Robach, Available on: http://sourceforge, 2010.

B. Larson, Y. W. Ice, G. Budai, J. Tischler, and J. , Three-dimensional X-ray structural microscopy with submicrometre resolution, Nature, vol.33, issue.6874, pp.887-890, 2002.
DOI : 10.1016/S0065-2156(08)70388-0

W. Yang, B. Larson, J. Tischler, G. Ice, J. Budai et al., Differential-aperture X-ray structural microscopy: a submicron-resolution three-dimensional probe of local microstructure and strain, Micron, vol.35, issue.6, pp.431-439, 2004.
DOI : 10.1016/j.micron.2004.02.004

J. Chung and G. Ice, Automated indexing for texture and strain measurement with broad-bandpass x-ray microbeams, Journal of Applied Physics, vol.86, issue.9, 1999.
DOI : 10.1107/S0365110X67000970

F. Hofmann, S. Eve, J. Belnoue, J. Micha, and A. Korsunsky, Analysis of strain error sources in micro-beam Laue diffraction, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.660, issue.1, pp.130-137, 2011.
DOI : 10.1016/j.nima.2011.09.009

G. Ice, J. Chung, W. Lowe, E. Williams, and J. Edelman, Small-displacement monochromator for microdiffraction experiments, Review of Scientific Instruments, vol.2856, issue.5, pp.2001-2006, 2000.
DOI : 10.1117/12.259879

S. Send, M. Von-kozierowski, T. Panzner, S. Gorfman, K. Nurdan et al., Energy-dispersive Laue diffraction by means of a frame-store pnCCD, Journal of Applied Crystallography, vol.42, issue.6, pp.1139-1146, 2009.
DOI : 10.1107/S0021889809039867

O. Robach, J. Micha, O. Ulrich, O. Geaymond, O. Sicardy et al., A tunable multicolour `rainbow' filter for improved stress and dislocation density field mapping in polycrystals using X-ray Laue microdiffraction, Acta Crystallographica Section A Foundations of Crystallography, vol.98, issue.468, pp.164-170, 2013.
DOI : 10.1063/1.2071454

J. Lautridou and J. Guédou, Heat treatment upgrading on PM superalloy N18 for high temperature applications, Mater Adv Power Eng pp, pp.951-960, 1994.

Y. Honnorat, N18, damage tolerant nickel-based superalloy for military aircraft turbine discs, Mater Tech, vol.79, pp.5-619, 1991.

J. Chao, A. Mark, M. Fuller, N. Mcintyre, R. Holt et al., Study of residual elastic- and plastic-deformation in uniaxial tensile strained nickel-based Alloy 600 samples by polychromatic X-ray microdiffraction (PXM) and neutron diffraction methods, Materials Science and Engineering: A, vol.524, issue.1-2, pp.20-27, 2009.
DOI : 10.1016/j.msea.2009.05.033

S. Wright, M. Nowell, and J. Basinger, Angular Precision of Automated Electron Backscatter Diffraction Measurements, Textures of Materials -ICOTOM 16, pp.548-553, 2012.
DOI : 10.4028/www.scientific.net/MSF.702-703.548

I. Brough, P. Bate, and F. Humphreys, Optimising the angular resolution of EBSD, Materials Science and Technology, vol.11, issue.11, pp.1279-1286, 2006.
DOI : 10.1046/j.1365-2818.2001.00777.x

G. Altinkurt, F. `-evre, M. Robach, O. Micha, J. Geandier et al., Full elastic strain tensor determination at the phase scale in a powder metallurgy nickel-based superalloy using X-ray Laue microdiffraction, Journal of Applied Crystallography, vol.82, issue.236, pp.1754-1765, 2017.
DOI : 10.1107/S1600576717014558

URL : https://hal.archives-ouvertes.fr/hal-01654602

W. Voigt, Lehrbuch der Kristallphysik Teubner 47. Reuss A (1929) Berechnung der Fliessgrenze von Mischkristallen auf Grund Plastizitätsbedingung für Einkristalle, ZAMM-Z Angew Math Me, vol.9, issue.1, pp.49-58, 1928.
DOI : 10.1007/978-3-663-15884-4