journal article·2015-08

Microstructure and transformation texture evolution during α precipitation in polycrystalline α/β titanium alloys – A simulation study

R. Shi, N. Zhou, S.R. Niezgoda, Y. Wang

Acta Materialia· Volume 94
Publisher page

Abstract

Abstract A three-dimensional phase field model of β → α transformation in polycrystalline Ti–6Al–4V (wt.%) alloys is formulated and used to study variant selection and microstructure evolution under different processing conditions and starting β phase textures. Degrees of variant selection at both individual β grain and polycrystalline β volume element levels and their connections to the final micro- and macro-texture of α precipitates are analyzed and correlated with the processing parameters. It is found that local stresses in an elastically anisotropic and inhomogeneous polycrystalline volume element lead to obvious variant selection. Under certain pre-strains, a local volume element of a polycrystalline β sample considered in the simulations could end up with a relatively weak micro- and macro-texture of the transformed α phase if it has a strong starting β phase texture. Moreover, a Fix-End (clamped) boundary constraint to the volume element is found to be more favorable than a Free-End (relaxed) one in preventing the formation of strong transformation texture irrespective of the strength of the starting β phase texture. Other factors contributing to variant selection and transformation texture development are also discussed. The results could shed light on how to control processing conditions and internal stresses to reduce transformation texture at both the individual β grain and the polycrystalline volume element level.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Titanium Alloys Microstructure and Properties · Metallurgy and Material Forming · Aluminum Alloy Microstructure Properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (70)

Show source-provided references
1. Bhadeshia · 2011
2. 20 – Physical metallurgy of light alloys
3. A review of shape memory alloy research, applications and opportunities10.1016/j.matdes.2013.11.084 ↗
4. Kurdjumov · Z. Phys. · 1930 · 64 · 225
5. Nishiyama · Sci. Rep. Res. Inst. Tohoku Univ. · 1934 · 23 · 638
6. Wassermann · Arch. Eisenhuttenwes · 1933 · 16 · 647
7. Bain · Trans. AIME · 1924 · 70 · 25
8. On the process of transition of the cubic-body-centered modification into the hexagonal-close-packed modification of zirconium10.1016/S0031-8914(34)80244-3 ↗
9. Pitsch · Arch. Eisenhutt Wes. · 1958 · 29 · 715
10. Perspectives on titanium science and technology10.1016/j.actamat.2012.10.043 ↗
11. Lutjering · 2007
12. Variant selection during α precipitation in Ti–6Al–4V under the influence of local stress – a simulation study10.1016/j.actamat.2013.06.042 ↗
13. Texture variations in titanium alloys for aeroengine applications10.1179/026708310X12635619988186 ↗
14. Variant selection during cooling after beta annealing of Ti–6Al–4V ingot material10.1007/s11661-012-1245-y ↗
15. Residual stresses: macro and micro stresses
16. Effects of working, heat treatment, and aging on microstructural evolution and crystallographic texture of [alpha], [alpha]’, [alpha]’’ and [beta] phases in Ti–6Al–4V wire10.1016/j.msea.2004.09.072 ↗
17. Study of the variant selection in sharp textured regions of bimodal IMI 834 billet10.1016/j.msea.2006.05.047 ↗
18. Modeling of the texture transformation in a Ti-64 sheet after hot compression10.1016/S1359-6454(97)00038-4 ↗
19. Modeling the transformation texture of Ti-64 sheets after rolling in the [beta]-field10.1016/S0921-5093(97)80111-6 ↗
20. Investigation of the alpha- and beta-texture evolution of hot rolled Ti-64 products10.1016/S0921-5093(96)10388-9 ↗
21. Variant selection by dislocations during α precipitation in α/β titanium alloys10.1016/j.actamat.2014.12.044 ↗
22. Influence of crystallography variant selection on microstructure evolution in titanium alloys
23. Selection of alpha variants during microstructural evolution in alpha/beta titanium alloy10.1080/14786430701373672 ↗
24. Nucleation and variant selection of secondary alpha plates in a beta Ti alloy10.1016/j.actamat.2008.08.016 ↗
25. Application of electron backscatter diffraction to the study of phase transformations10.1179/174328007X160254 ↗
26. Modelling of the variant selection mechanism in the phase transformation of HSLA steel produced by compact strip production10.1016/S1359-6454(02)00023-X ↗
27. Imposed stress and variant selection: the role of symmetry and initial texture10.1107/S0021889807055458 ↗
28. Effect of grain boundary character on the martensitic transformation in Fe–32at.%Ni bicrystals10.1016/S1359-6454(01)00252-X ↗
29. Predicting equilibrium shape of precipitates as function of coherency state10.1016/j.actamat.2012.04.019 ↗
30. Free energy of a nonuniform system. I. Interfacial free energy10.1063/1.1744102 ↗
31. On the theory of the dispersion of magnetic permeability in ferromagnetic bodies
32. The thermodynamik theory of capillarity under the hypothesis of a continuous variation of density10.1007/BF01011513 ↗
33. The determination of the elastic field of an ellipsoidal inclusion, and related problems10.1098/rspa.1957.0133 ↗
34. The elastic field outside an ellipsoidal inclusion
35. Some questions concerning the theory of phase transformations in solids
36. Khachaturyan · 1983
37. Elastic interaction potential of defects in a crystal
38. Phase-field simulation of solidification10.1146/annurev.matsci.32.101901.155803 ↗
39. Phase-field models for microstructure evolution10.1146/annurev.matsci.32.112001.132041 ↗
40. Emmerich · 2003
41. Phase · 2001 · 6873
42. C. Shen, Y. Wang, Coherent precipitation - phase field method, in: S. Yip (Ed.), Handbook of Materials Modeling. Models, vol. B, Springer, New York, 2005, p. 2117.10.1007/1-4020-3286-2_110 ↗
43. Wang · 2012
44. Y.U. Wang, Y.M. Jin, A.G. Khachaturyan, Dislocation Dynamics—Phase Field, Handbook of Materials Modeling, Springer, 2005, p. 2287.10.1007/978-1-4020-3286-8_118 ↗
45. H.J. Bunge, Texture Analysis in Materials Science – Mathematical Methods, London, 1982.10.1016/B978-0-408-10642-9.50019-2 ↗
46. Three-dimensional phase field model and simulation of cubic -> tetragonal martensitic transformation in polycrystals
47. A phase field concept for multiphase systems10.1016/0167-2789(95)00298-7 ↗
48. A generalized field method for multiphase transformations using interface fields10.1016/S0167-2789(99)00129-3 ↗
49. Phase field microelasticity theory and modeling of elastically and structurally inhomogeneous solid10.1063/1.1492859 ↗
50. Three-dimensional phase field microelasticity theory of a complex elastically inhomogeneous solid10.1063/1.1486249 ↗
51. Mesoscale modelling of mobile crystal defects – dislocations, cracks and surface roughening: phase field microelasticity approach10.1080/14786430412331315699 ↗
52. An improvement on the three-dimensional phase-field microelasticity theory for elastically and structurally inhomogeneous solids10.1016/j.scriptamat.2009.02.007 ↗
53. Engler · 2009
54. Texture analysis with MTEX-free and open source software toolbox10.4028/www.scientific.net/SSP.160.63 ↗
55. Variant selection of grain boundary α by special prior β grain boundaries in titanium alloys10.1016/j.actamat.2014.05.003 ↗
56. In situ neutron diffraction study of texture evolution and variant selection during the alpha to beta to alpha phase transformation in Ti–6Al–4V10.1016/j.actamat.2012.09.026 ↗
57. The influence of rolling temperature on texture evolution and variant selection during alpha -> beta -> alpha phase transformation in Ti–6Al–4V10.1016/j.actamat.2012.07.025 ↗
58. N. Stanford, P.S. Bate, The martensitic transformation texture in Ti-6Al-4V, in: Icotom 14: Textures of Materials, Pts 1and 2, vol. 495–497, 2005, p. 669.10.4028/www.scientific.net/MSF.495-497.669 ↗
59. Effect of self-accommodation on alpha/alpha boundary populations in pure titanium10.1016/S1359-6454(03)00035-1 ↗
60. D. Banerjee, Private communication, 2014.
61. VORO plus plus: a three-dimensional Voronoi cell library in C plus10.1063/1.3215722 ↗
62. Sparse data structure and algorithm for the phase field method10.1088/0965-0393/14/7/007 ↗
63. Variant selection during alpha precipitation in titanium alloys: A simulation study
64. Effect of process variables on transformation-texture development in Ti–6Al –4V sheet following beta heat treatment10.1007/s11661-013-1735-6 ↗
65. Selective variant growth of coherent Ti11Ni14 precipitate in a TiNi alloy under applied stresses10.1016/S1359-6454(96)00207-8 ↗
66. Y. Gao, R. Shi, J.F. Nie, S.A. Dregia, Y. Wang, Deformation path degeneracy in structural transformations, Unpublished work.
67. Crystallography of grain boundary α precipitates in a β titanium alloy10.1007/BF02649821 ↗
68. Crystallographic variant selection in Ti–6Al–4V10.1016/j.actamat.2004.07.034 ↗
69. Influence of transformation temperature on microtexture formation associated with alpha precipitation at beta grain boundaries in a beta metastable titanium alloy10.1016/j.actamat.2013.03.007 ↗
70. Phase-field modeling of displacive phase transformations in elastically anisotropic and inhomogeneous polycrystals10.1016/j.actamat.2014.05.014 ↗