M. R. Chini, L. Germain, N. Gey, S. Andrieu, and T. Duval, Advanced Microtexture Analysis of A Ti 10-2-3 Product for Better Understanding of Local Variations in Mechanical Behavior, Proceedings of the 13th World Conference on Titanium, pp.1943-1948, 2016.

V. Hounkpati, S. Fréour, D. Gloaguen, V. Legrand, J. Kelleher et al., « In situ neutron measurements and modelling of the intergranular strains in the near-? titanium alloy Ti-?21S, Acta Mater, vol.109, pp.341-352, 2016.

S. Lhadi, S. Berbenni, N. Gey, T. Richeton, and L. Germain, « Micromechanical modeling of the effect of elastic and plastic anisotropies on the mechanical behavior of ?-Ti alloys », Int. J. Plast, vol.109, pp.88-107, 2018.

S. Lhadi, M. Chini, T. Richeton, N. Gey, L. Germain et al., « Micromechanical Modeling of the Elasto-Viscoplastic Behavior and Incompatibility Stresses of ?-Ti Alloys, vol.11, 2018.

E. S. Fisher and D. Dever, « Relation of the c? elastic modulus to stability of b.c.c. transition metals, Acta Metall, vol.18, issue.2, pp.90033-90040, 1970.

C. N. Reid, J. L. Routbort, and R. A. Maynard, « Elastic constants of Ti-40 at.% Nb at 298 °K », J. Appl. Phys, vol.44, issue.3, pp.1398-1399, 1973.

W. Petry, A. Heiming, J. Trampenau, M. Alba, C. Herzig et al., « Phonon dispersion of the bcc phase of group-IV metals. I. bcc titanium, Phys Rev B, vol.43, issue.13, pp.10933-10947, 1991.

H. Ledbetter, H. Ogi, S. Kai, S. Kim, and M. Hirao, « Elastic constants of body-centered-cubic titanium monocrystals, J. Appl. Phys, vol.95, issue.9, pp.4642-4644, 2004.

S. Fréour, D. Gloaguen, M. François, A. Perronnet, and R. Guillén, « Determination of single-crystal elasticity constants in a cubic phase within a multiphase alloy: X-ray diffraction measurements and inverse-scale transition modelling, J. Appl. Crystallogr, vol.38, issue.1, pp.30-37, 2005.

S. Fréour, E. Lacoste, M. François, and R. Guillén, « Determining Ti-17 ?-phase single-crystal elasticity constants through X-ray diffraction and inverse scale transition model, Materials Science Forum, vol.681, pp.97-102, 2011.

S. L. Raghunathan, A. M. Stapleton, R. J. Dashwood, M. Jackson, and D. Dye, « Micromechanics of Ti-10V-2Fe-3Al: In situ synchrotron characterisation and modelling, Acta Mater, vol.55, pp.6861-6872, 2007.

M. Tane, « Peculiar elastic behavior of Ti-Nb-Ta-Zr single crystals, Acta Mater, vol.56, pp.2856-2863, 2008.

J. Kim and S. I. Rokhlin, « Determination of elastic constants of generally anisotropic inclined lamellar structure using line-focus acoustic microscopy, J. Acoust. Soc. Am, vol.126, issue.6, pp.2998-3007, 2009.

G. Martin, « Simulation numérique multi-échelles du comportement mécanique des alliages de titane bêta-métastable Ti5553 et Ti17, 2012.

J. Nejezchlebová, M. Janovská, H. Seiner, P. Sedlák, M. Landa et al., « The effect of athermal and isothermal ? phase particles on elasticity of ?-Ti single crystals, Acta Mater, vol.110, pp.185-191, 2016.

C. M. Zener, S. Siegel, «. Elasticity, and . Anelasticity-of-metals, J. Phys. Colloid Chem, vol.53, issue.9, pp.1468-1468, 1949.

S. Hémery and P. Villechaise, Influence of ? anisotropy on deformation processes operating in Ti-5Al-5Mo-5V-3Cr at room temperature, Acta Mater, vol.141, pp.285-293, 2017.

F. Bridier, P. Villechaise, and J. Mendez, « Slip and fatigue crack formation processes in an ?/? titanium alloy in relation to crystallographic texture on different scales, Acta Mater, vol.56, pp.3951-3962, 2008.

R. R. Purushottam-raj-purohit, S. Lhadi, N. Gey, O. Castelnau, T. Richeton et al., « Stress partitioning in a near-? Titanium alloy induced by elastic and plastic phase anisotropies: experimental and modeling, The 14th World Conference on Titanium, p.2381002, 2019.

G. Lütjering, « Influence of processing on microstructure and mechanical properties of (?+?) titanium alloys », Mater. Sci. Eng. A, vol.243, issue.1, pp.778-786, 1998.

S. L. Semiatin, « An Overview of the Thermomechanical Processing of ?/? Titanium Alloys: Current Status and Future Research Opportunities, Metall. Mater. Trans. A

N. Gey, M. Humbert, M. J. Philippe, and Y. Combres, « Investigation of the ?-and ?-texture evolution of hot rolled Ti-64 products, Mater. Sci. Eng. A, vol.219, issue.1, pp.80-88, 1996.

A. L. Pilchak, S. Srivatsa, N. C. Levkulich, V. Sinha, E. J. Payton et al., « Characterizing and Modeling the Precursors to Coarse Grain Formation during Beta-Annealing of Ti-6 Al-4V, The 14th World Conference on Titanium, 2019.

C. Nguyen, M. Balzer, T. Witulski, M. Böhm, M. Preuss et al., Understanding the ?-phase texture development in Ti-6Al-4V during compression in the ?+? regimes, The 14th World Conference on Titanium, 2019.

C. Mareau, S. Berbenni, and «. , An affine formulation for the self-consistent modeling of elasto-viscoplastic heterogeneous materials based on the translated field method, Int. J. Plast, vol.64, pp.134-150, 2015.

K. E. Amouzou, T. Richeton, A. Roth, M. A. Lebyodkin, and T. A. Lebedkina, « Micromechanical modeling of hardening mechanisms in commercially pure ?-titanium in tensile condition », Int. J. Plast, vol.80, pp.222-240, 2016.

T. W. Duerig, J. Albrecht, D. Richter, and P. Fischer, « Formation and reversion of stress induced martensite in Ti-10V-2Fe-3Al, Acta Metall, vol.30, issue.82, pp.90137-90144, 1982.

A. Bhattacharjee, S. Bhargava, V. K. Varma, S. V. Kamat, and A. K. Gogia, « Effect of ? grain size on stress induced martensitic transformation in ? solution treated Ti-10V-2Fe-3Al alloy, Scr. Mater, vol.53, issue.2, pp.195-200, 2005.

X. Ma, « Strain rate effects on tensile deformation behaviors of Ti-10V-2Fe-3Al alloy undergoing stress-induced martensitic transformation, Mater. Sci. Eng. A, vol.710, pp.1-9, 2018.

C. Li, X. Wu, J. H. Chen, and S. Van-der-zwaag, « Influence of ? morphology and volume fraction on the stress-induced martensitic transformation in Ti-10V-2Fe-3Al », Mater. Sci. Eng. A, vol.528, pp.5854-5860, 2011.

A. Settefrati, « Étude expérimentale et modélisation par champ de phase de la formation de alpha dans les alliages de titane bêta-métastable, 2012.

L. Méric, P. Poubanne, and G. Cailletaud, Single Crystal Modeling for Structural Calculations: Part 1-Model Presentation, J. Eng. Mater. Technol, vol.113, issue.1, pp.162-170, 1991.

L. Méric and G. Cailletaud, Single Crystal Modeling for Structural Calculations: Part 2-Finite Element Implementation, J. Eng. Mater. Technol, vol.113, issue.1, pp.171-182, 1991.

A. Morawiec, Orientations and Rotations Computations in Crystallographic Textures, 2004.

N. Clément, UCL -FSA/MAPR -Département des sciences des matériaux et des procédés, Phase transformations and mechanical properties of the Ti-5553 beta-metastable titanium alloy, 2010.

R. Hearmon, « The elastic constants of crystals and other anisotropic materials, 1984.

C. R. Weinberger, B. L. Boyce, and C. C. Battaile, Slip planes in bcc transition metals, vol.58, pp.296-314, 2013.

P. Castany, M. Besse, and T. Gloriant, situ TEM study of dislocation slip in a metastable ? titanium alloy, vol.66, pp.371-373, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00864935

Z. Zhang, T. Jun, T. B. Britton, and F. P. Dunne, « Determination of Ti-6242 ? and ? slip properties using micro-pillar test and computational crystal plasticity, J. Mech. Phys. Solids, vol.95, pp.393-410, 2016.

Z. Zheng, S. Waheed, D. S. Balint, and F. P. Dunne, Slip transfer across phase boundaries in dual phase titanium alloys and the effect on strain rate sensitivity, vol.104, pp.23-38, 2018.

A. Fitzner, D. G. Prakash, J. Q. Da-fonseca, M. Thomas, S. Zhang et al., The effect of aluminium on twinning in binary alpha-titanium, vol.103, pp.341-351, 2016.

T. Duval, « Analyse multi-échelles des relations microstructure/propriétés mécaniques sous sollicitation monotone et cyclique des alliages de titane ?-métastable, 2013.

B. Beausir and J. Fundenberger, ATEX-software,Analysis Tools for Electron and X-ray diffraction, 2018.

H. Bunge and É. , « Preface to the English Edition, Texture Analysis in Materials Science, pp.p. vi-viii, 1982.

N. Stanford and P. S. Bate, « Crystallographic variant selection in Ti-6Al-4V », Acta Mater, vol.52, pp.5215-5224, 2004.