[1]
Nieh TG, Wadsworth J, Sherby OD.: Superplasticity in Metals and Ceramics. Cambridge University Press, Cambridge (1997).
Google Scholar
[2]
Mosleh, A.O., Kotov, A.D., Vidal, V., Mochugovskiy, A.G., Velay, V., Mikhaylovskaya, A. V.: Initial microstructure influence on Ti–Al–Mo–V alloy's superplastic deformation behavior and deformation mechanisms. Materials Science and Engineering: A. 802, 140626 (2021).
DOI: 10.1016/J.MSEA.2020.140626
Google Scholar
[3]
Patankar, S.N., Escobedo, J.P., Field, D.P., Salishchev, G., Galeyev, R.M., Valiakhmetov, O.R., Froes, F.H.: Superior superplastic behavior in fine-grained Ti–6Al–4V sheet. J. Alloys Compd. 345, 221–227 (2002).
DOI: 10.1016/S0925-8388(02)00406-1
Google Scholar
[4]
Kolli, R.P., Devaraj, A.: A Review of Metastable Beta Titanium Alloys. Metals (Basel). 8, (2018).
DOI: 10.3390/met8070506
Google Scholar
[5]
Alabort, E., Putman, D., Reed, R.C.: Superplasticity in Ti–6Al–4V: Characterisation, modelling and applications. Acta Mater. 95, 428–442 (2015).
DOI: 10.1016/J.ACTAMAT.2015.04.056
Google Scholar
[6]
da Silva, L., Sivaswamy, G., Sun, L., Rahimi, S.: Effect of texture and mechanical anisotropy on flow behaviour in Ti–6Al–4V alloy under superplastic forming conditions. Materials Science and Engineering: A. 819, 141367 (2021).
DOI: 10.1016/J.MSEA.2021.141367
Google Scholar
[7]
Kapoor, K., Ravi, P., Noraas, R., Park, J.S., Venkatesh, V., Sangid, M.D.: Modeling Ti–6Al–4V using crystal plasticity, calibrated with multi-scale experiments, to understand the effect of the orientation and morphology of the α and β phases on time dependent cyclic loading. J. Mech. Phys. Solids. 146, 104192 (2021).
DOI: 10.1016/J.JMPS.2020.104192
Google Scholar
[8]
Roters, F., Eisenlohr, P., Hantcherli, L., Tjahjanto, D.D., Bieler, T.R., Raabe, D.: Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications. Acta Mater. 58, 1152–1211 (2010).
DOI: 10.1016/j.actamat.2009.10.058
Google Scholar
[9]
Demir, E., Martinez-Pechero, A., Hardie, C., Tarleton, E.: OXFORD-UMAT: An efficient and versatile crystal plasticity framework - ScienceDirect, https://www.sciencedirect.com/science/ article/pii/S0020768324004694.
DOI: 10.1016/j.ijsolstr.2024.113110
Google Scholar
[10]
Segurado, J., Lebensohn, R.A., Llorca, J.: Computational Homogenization of Polycrystals. Advances in Applied Mechanics. 51, 1–114 (2018).
DOI: 10.1016/BS.AAMS.2018.07.001
Google Scholar
[11]
Yonggang Huang: A user-material subroutine incroporating single crystal plasticity in the ABAQUS finite element program. (1991).
Google Scholar
[12]
Dunne, F.P.E., Rugg, D., Walker, A.: Lengthscale-dependent, elastically anisotropic, physically-based hcp crystal plasticity: Application to cold-dwell fatigue in Ti alloys. Int. J. Plast. 23, 1061–1083 (2007).
DOI: 10.1016/J.IJPLAS.2006.10.013
Google Scholar
[13]
Hughes, T.J.R., Winget, J.M.: Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis. Int. J. Numer. Methods Eng. 15, 1862–1867 (1980).
DOI: 10.1002/nme.1620151210
Google Scholar
[14]
Waller, I.: Dynamical Theory of Crystal Lattices by M. Born and K. Huang. Acta Crystallogr. 9, 837–838 (1956). https://doi.org/.
DOI: 10.1107/S0365110X56002370
Google Scholar
[15]
Mouhat, F., Coudert, F.-X.: Necessary and sufficient elastic stability conditions in various crystal systems. Phys. Rev. B. 90, 224104 (2014). https://doi.org/10.1103 /PhysRevB.90.224104.
DOI: 10.1103/physrevb.90.224104
Google Scholar
[16]
Rietveld, H.M.: A profile refinement method for nuclear and magnetic structures. J. Appl. Crystallogr. 2, 65–71 (1969).
DOI: 10.1107/S0021889869006558
Google Scholar
[17]
Ashiotis, G., Deschildre, A., Nawaz, Z., Wright, J.P., Karkoulis, D., Picca, F.E., Kieffer, J.: The fast azimuthal integration Python library: pyFAI. J. Appl. Crystallogr. 48, 510–519 (2015).
DOI: 10.1107/S1600576715004306
Google Scholar
[18]
Newville, M., Stensitzki, T., Allen, D.B., Ingargiola, A.: LMFIT: Non-Linear Least-Square Minimization and Curve-Fitting for Python, (2014).
Google Scholar
[19]
Kapoor, K., Ravi, P., Naragani, D., Park, J.S., Almer, J.D., Sangid, M.D.: Strain rate sensitivity, microstructure variations, and stress-assisted β → α'' phase transformation investigation on the mechanical behavior of dual-phase titanium alloys. Mater. Charact. 166, 110410 (2020).
DOI: 10.1016/J.MATCHAR.2020.110410
Google Scholar
[20]
Quey, R., Kasemer, M.: The Neper/FEPX Project: Free / Open-source Polycrystal Generation, Deformation Simulation, and Post-processing. IOP Conf. Ser.: Mater. Sci. Eng. 1249, (2022).
DOI: 10.1088/1757-899X/1249/1/012021
Google Scholar
[21]
Park, C.H., Lee, B., Semiatin, S.L., Lee, C.S.: Low-temperature superplasticity and coarsening behavior of Ti–6Al–2Sn–4Zr–2Mo–0.1Si. Materials Science and Engineering: A. 527, 5203–5211 (2010).
DOI: 10.1016/J.MSEA.2010.04.082
Google Scholar
[22]
Despax, L., Vidal, V., Delagnes, D., Dehmas, M., Matsumoto, H., Velay, V.: Influence of strain rate and temperature on the deformation mechanisms of a fine-grained Ti-6Al-4V alloy. Materials Science and Engineering: A. 790, 139718 (2020).
DOI: 10.1016/J.MSEA.2020.139718
Google Scholar
[23]
Ribárik, G., Jóni, B., Ungár, T.: The Convolutional Multiple Whole Profile (CMWP) Fitting Method, a Global Optimization Procedure for Microstructure Determination. Crystals (Basel). (2020).
DOI: 10.3390/cryst10070623
Google Scholar
[24]
Ungár, T., Balogh, L., Ribárik, G.: Defect-Related Physical-Profile-Based X-Ray and Neutron Line Profile Analysis. Metallurgical and Materials Transactions A. 41, 1202–1209 (2010).
DOI: 10.1007/s11661-009-9961-7
Google Scholar
[25]
Das Bakshi, S., Sinha, D., Ghosh Chowdhury, S.: Anisotropic broadening of XRD peaks of α'-Fe: Williamson-Hall and Warren-Averbach analysis using full width at half maximum (FWHM) and integral breadth (IB). Mater. Charact. 142, 144–153 (2018).
DOI: 10.1016/J.MATCHAR.2018.05.018
Google Scholar
[26]
Gong, J., Wilkinson, A.: Investigation of elastic properties of single-crystal α-Ti using microcantilever beams. Philos. Mag. Lett. 90, 503–512 (2010).
DOI: 10.1080/09500831003772989
Google Scholar
[27]
Mery, S.H., Villechaise, P., Banerjee, D.: Microplasticity at Room Temperature in a/b Titanium Alloys. Metall Mater Trans A 51. 51, 4931–4969 (2020).
DOI: 10.1007/s11661-020-05945-4
Google Scholar
[28]
Kang, J., Oh, H.S., Wei, S., Zhu, G., Nakahata, I., Tasan, C.C.: An in situ study of microstructural strain localization and damage evolution in an (α+β) Ti-Al-V-Fe-Si-O alloy. Acta Mater. 242, 118424 (2023).
DOI: 10.1016/J.ACTAMAT.2022.118424
Google Scholar
[29]
Séchepée, I., Dubray, C., Velay, V., Matsumoto, H.: Effects of grain size and β fraction on the deformation modes of a Ti-6Al-2Sn-4Zr-2Mo-Si alloy with equiaxed (α + β) microstructures: Slip trace analysis and multiscale simulation of polycrystal plasticity. J. Alloys Compd. 981, 173722 (2024).
DOI: 10.1016/J.JALLCOM.2024.173722
Google Scholar
[30]
Fan, Z., Tsakiropoulos, P., Miodownik, A.P.: A generalized law of mixtures. J. Mater. Sci. 29, 141–150 (1994).
DOI: 10.1007/BF00356585
Google Scholar
[31]
Ankem, S., Margolin, H.: A rationalization of stress-strain behavior of two-ductile phase alloys. Metallurgical Transactions A. 17, 2209–2226 (1986).
DOI: 10.1007/BF02645919
Google Scholar