Deformation mechanisms and kinetics of time-dependent twinning in an α-titanium alloy

International Journal of Plasticity

Volumn 39, Issue , 2012, Pages 119-131

  Wyatt, Z W ^a   Joost, W J ^a   Zhu, D ^a   Ankem, S ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Electron microscopy; Mechanical testing; Optical microscopy; Titanium; Twinning

Indexed keywords

DEFORMATION; DIFFUSION; ELECTRON MICROSCOPY; HIGH RESOLUTION TRANSMISSION ELECTRON MICROSCOPY; LIGHT TRANSMISSION; MECHANICAL TESTING; OPTICAL MICROSCOPY; SHEAR FLOW; TITANIUM; TITANIUM ALLOYS; TRANSMISSION ELECTRON MICROSCOPY; TWINNING;

ALPHA TITANIUM ALLOY; BETA TITANIUM ALLOY; DEFORMATION MECHANISM; DIFFUSION OF OXYGENS; DIFFUSION-BASED MODEL; EFFECTS OF STRAIN RATES; INTERSTITIAL SITES; ORDERS OF MAGNITUDE;

STRAIN RATE;

EID: 84869092447     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2012.06.001     Document Type: Article

References (82)

1. Abdolvand, H., Daymond, M.R., Mareau, C., 2011. Incorporation of twinning into a crystal plasticity finite element model: evolution of lattice strains and texture in Zircaloy-2. International Journal of Plasticity 27, 1721-1738.
2. Aiyangar, A.K., Neuberger, B.W., Oberson, P.G., Ankem, S., 2005. The effects of stress level and grain size on the ambient temperature creep deformation behavior of an a Ti-1.6 wt pct V alloy. Metallurgical and Materials Transactions a-Physical Metallurgy and Materials Science 36A, 637-644. (Pubitemid 40453903)
3. Ankem, S., Greene, C.A., Singh, S., 1994. Time-dependent twinning during ambient-temperature creep of α-Ti-Mn alloy. Scripta Metallurgica et Materialia 30, 803-808.
4. Armstrong, R.W., Walley, S.M., 2008. High strain rate properties of metals and alloys. International Materials Reviews 53, 105-128. (Pubitemid 351774971)
5. Attwood, D.G., Hazzledine, P.M., 1976. A fiducial grid for high-resolution metallography. Metallography 9, 483.
6. Aziz, M.J., 1997. Thermodynamics of diffusion under pressure and stress: relation to point defect mechanisms. Applied Physics Letters 70, 2810-2812. (Pubitemid 127662503)
7. Aziz, M.J., 1998. Pressure and stress effects on diffusion in Si. Defect and Diffusion Forum 153, 1-10. (Pubitemid 128570397)
8. Aziz, M.J., 2001. Stress effects on defects and dopant diffusion in Si. Materials Science in Semiconductor Processing 4, 397-403. (Pubitemid 32997717)
9. Aziz, M.J., Zhao, Y.C., Gossmann, H.J., Mitha, S., Smith, S.P., Schiferl, D., 2006. Pressure and stress effects on the diffusion of B and Sb in Si and Si-Ge alloys. Physical Review B, 73.
10. Baumann, F.H., Huang, J.H., Rentschler, J.A., Chang, T.Y., Ourmazd, A., 1994. Multilayers as microlabs for point-defects - effect of strain on diffusion in semiconductors. Physical Review Letters 73, 448-451. (Pubitemid 24976241)
11. Bevis, M., Crocker, A.G., 1968. Twinning Shears in Lattices. Proceedings of the Royal Society of London Series A 304, 123.
12. Capolungo, L., Beyerlein, I.J., Kaschner, G.C., Tome, C.N., 2009. On the interaction between slip dislocations and twins in HCP Zr. Materials Science and Engineering A - Structural Materials Properties Microstructure and Processing 513-14, 42-51.
13. Cerreta, E., Gray, G.T., Hixson, R.S., Rigg, P.A., Brown, D.W., 2005. The influence of interstitial oxygen and peak pressure on the shock loading behavior of zirconium. Acta Materialia 53, 1751-1758. (Pubitemid 40245693)
14. Cerreta, E., Gray, G.T., Lawson, A.C., Morris, C.E., Mason, T.A., Hixson, R.S., Rigg, P.A., 2006. The influence of oxygen content on the pressure induced phase transformation and shock hardening of titanium. Journal of Applied Physics 100, 0135301-0135309.
15. Charit, I., Gollapudi, S., Murty, K.L., 2008. Creep mechanisms in Ti-3Al-2.5V alloy tubing deformed under closed-end internal gas pressurization. Acta Materialia 56, 2406-2419.
16. Chen, M.W., Ma, E., Hemker, K.J., Sheng, H.W., Wang, Y.M., Cheng, X.M., 2003. Deformation twinning in nanocrystalline aluminum. Science 300, 1275-1277. (Pubitemid 36618235)
17. Chichili, D.R., Ramesh, K.T., Hemker, K.J., 1998. The high-strain-rate response of α-titanium: experiments, deformation mechanisms and modeling. Acta Materialia 46, 1025-1043. (Pubitemid 128427648)
18. Christian, J.W., Mahajan, S., 1995. Deformation twinning. Progress in Materials Science 39, 1-157.
19. Conrad, H., 1966. Rate controlling mechanism during yielding and flow of α-titanium at temperatures below 0.4 Tm. Acta Metallurgica 14, 1631.
20. Conrad, H., 1981. Effect of interstitial solutes on the strength and ductility of titanium. Progress in Materials Science 26, 123-404.
21. Cowern, N.E.B., Zalm, P.C., Vandersluis, P., Gravesteijn, D.J., Deboer, W.B., 1994. Diffusion in strained Si(Ge). Physical Review Letters 72, 2585-2588. (Pubitemid 24975212)
22. Crocker, A.G., 1962. Twinned martensite. Acta Metallurgica 10, 113.
23. Crocker, A.G.a.B., M. (1968). The Science, Technology, and Application of Titanium. Pergamon Press, London.
24. Dieter, G.E., 1988. Mechanical Metallurgy. McGraw-Hill Book Co., London.
25. Doraiswamy, D., Ankem, S., 2003. The effect of grain size and stability on ambient temperature tensile and creep deformation in metastable b titanium alloys. Acta Materialia 51, 1607-1619.
26. Dorosinskii, L.A., Indenbom, M.V., Nikitenko, V.I., Farber, B.Y., 1989. Kinetics of the changes in the twin structure in Yba2cu3o7-X single-crystals. JETP Letters 49, 182-187.
27. Dorosinskii, L.A., Nikitenko, V.I., Polyanski, A.A., Vlaskovlasov, V.K., Roytburd, A., Kaiser, D.L., Gayle, F.W., 1992. Kinetics of twin boundary migration in Yba2cu3o7-X single-crystals. Physica C 203, 342-346. (Pubitemid 23599789)
28. Follansbee, P.S., Gray, G.T., 1989. An analysis of the low-temperature, low and high strain-rate deformation of Ti-6Al-4V. Metallurgical Transactions A - Physical Metallurgy and Materials Science 20, 863-874.
29. Greene, C.A., 1994. Fundamental Studies on Ambient Temperature Creep Deformation Behavior of a and a-b Titanium Alloys. PhD Dissertation. Department of Materials Science and Engineering, University of Maryland, College Park, MD.
30. Gumbsch, P., Gao, H., 1999. Dislocations faster than the speed of sound. Science 283, 965-968.
31. Homayonifar, M., Mosler, J., 2011. On the coupling of plastic slip and deformation-induced twinning in magnesium: a variationally consistent approach based on energy minimization. International Journal of Plasticity 27, 983-1003.
32. Kalidindi, S.R., 1998. Incorporation of deformation twinning in crystal plasticity models. Journal of the Mechanics and Physics of Solids 46, 267.
33. Karthikeyan, S., Mills, M.J., 2005. The role of microstructural stability on compression creep of fully lamellar gamma-TiAl alloys. Intermetallics 13, 985-992. (Pubitemid 40691026)
34. Khan, A.S., Kazmi, R., Farrokh, B., Zupan, M., 2007. Effect of oxygen content and microstructure on the thermo-mechanical response of three Ti-6Al-4V alloys: experiments and modeling over a wide range of strain-rates and temperatures. International Journal of Plasticity 23, 1105-1125. (Pubitemid 46498676)
35. Kuo, P., Hoyt, J.L., Gibbons, J.F., Turner, J.E., Jacowitz, R.D., Kamins, T.I., 1993. Comparison of boron-diffusion in Si and strained Si1-Xgex epitaxial layers. Applied Physics Letters 62, 612-614.
36. Li, B., Ma, E., 2009. Atomic shuffling dominated mechanism for deformation twinning in magnesium. Physical Review Letters, 103.
37. Li, M., Lou, X.Y., Kim, J.H., Wagoner, R.H., 2010. An efficient constitutive model for room-temperature, low-rate plasticity of annealed Mg AZ31B sheet. International Journal of Plasticity 26, 820-858.
38. Liu, Z., Welsch, G., 1988. Literature survey on diffusivities of oxygen, aluminum, and vanadium in α-titanium, b-titanium, and in rutile. Metallurgical Transactions A - Physical Metallurgy and Materials Science 19, 1121-1124.
39. Lu, K., Li, Y.S., Zhang, Y., Tao, N.R., 2009. Effect of the Zener-Hollomon parameter on the microstructures and mechanical properties of Cu subjected to plastic deformation. Acta Materialia 57, 761-772.
40. Mahajan, S., Pande, C.S., Imam, M.A., Rath, B.B., 1997. Formation of annealing twins in f.c.c. crystals. Acta Materialia 45, 2633-2638. (Pubitemid 127413899)
41. McCabe, R.J., Proust, G., Cerreta, E.K., Misra, A., 2009. Quantitative analysis of deformation twinning in zirconium. International Journal of Plasticity 25, 454-472.
42. Meyers, M.A., Vohringer, O., Lubarda, V.A., 2001. The onset of twinning in metals: a constitutive description. Acta Materialia 49, 4025-4039. (Pubitemid 33018774)
43. Moriya, N., Feldman, L.C., Luftman, H.S., King, C.A., Bevk, J., Freer, B., 1993. Boron-diffusion in strained Si1-Xgex epitaxial layers. Physical Review Letters 71, 883-886.
44. Mostafa, M.M., 1991. Stress enhanced diffusion process in Al-10wt-percent Zn alloy. Czechoslovak Journal of Physics 41, 865-870.
45. Muransky, O., Carr, D.G., Sittner, P., Oliver, E.C., 2009. In situ neutron diffraction investigation of deformation twinning and pseudoelastic-like behaviour of extruded AZ31 magnesium alloy. International Journal of Plasticity 25, 1107-1127.
46. Nazarov, A.V., Mikheev, A.A., 2004. Theory of diffusion under stress in interstitial alloys. Physica Scripta T108, 90-94. (Pubitemid 351559303)
47. Nemat-Nasser, S., Guo, W.G., Cheng, J.Y., 1999. Mechanical properties and deformation mechanisms of a commercially pure titanium. Acta Materialia 47, 3705-3720. (Pubitemid 30503031)
48. Nixon, M.E., Cazacu, O., Lebensohn, R.A., 2010. Anisotropic response of high-purity α-titanium: experimental characterization and constitutive modeling. International Journal of Plasticity 26, 516-532.
49. Oberson, P.G. (2006). An Experimental and Theoretical Investigation of the Low Temperature Creep Deformation Behavior of Single Phase Titanium Alloys. Department of Materials Science and Engineering. PhD, University of Maryland, College Park, Maryland, USA, p. 208.
50. Oberson, P.G., Ankem, S., 2005. Why twins do not grow at the speed of sound all the time. Physical Review Letters, 95.
51. * T-m) creep of an α-titanium alloy. International Journal of Plasticity 25, 881-900.
52. Oberson, P.G., Wyatt, Z.W., Ankem, S., 2011. Modeling interstitial diffusion controlled twinning in a titanium during low-temperature creep. Scripta Materialia 65, 638-641.
53. Pande, C.S., Imam, M.A., Rath, B.B., 1990. Study of annealing twins in Fcc metals and alloys. Metallurgical Transactions A - Physical Metallurgy and Materials Science 21, 2891-2896. (Pubitemid 23588737)
54. Partridge, P.G., 1967. The crystallography of deformation modes of hexagonal close-packed metals. Metallurgical Reviews 118, 169-194.
55. Pond, R.C., Bacon, D.J., Serra, A., Sutton, A.P., 1991. The crystallography and atomic-structure of line defects in twin boundaries in hexagonal-close-packed metals. Metallurgical Transactions A - Physical Metallurgy and Materials Science 22, 1185-1196. (Pubitemid 23583314)
56. Porter, D.A., Easterling, K.E., 1993. Phase Transformations in Metals and Alloys. Chapman & Hall, London.
57. Ramesh, A., Ankem, S., 2002. The effect of grain size on the ambient temperature creep deformation behavior of ab Ti-14.8 V alloy. Metallurgical and Materials Transactions A - Physical Metallurgy and Materials Science 33, 1137-1144. (Pubitemid 34474960)
58. Ramesh, K.T., 2002. Effects of high rates of loading on the deformation behavior and failure mechanisms of hexagonal close-packed metals and alloys. Metallurgical and Materials Transactions A - Physical Metallurgy and Materials Science 33, 927-935. (Pubitemid 34406090)
59. Reed-Hill, R., Abbaschian, R., 1992. Physical Metallurgy Principles. PWS-Kent, Boston.
60. Salem, A.A., Kalidindi, S.R., Doherty, R.D., 2003. Strain hardening of titanium: role of deformation twinning. Acta Materialia 51, 4225-4237.
61. Salem, A.A., Kalidindi, S.R., Doherty, R.D., Semiatin, S.L., 2006. Strain hardening due to deformation twinning in α-titanium: mechanisms. Metallurgical and Materials Transactions A - Physical Metallurgy and Materials Science 37A, 259-268. (Pubitemid 43159534)
62. Salem, A.A., Kalidindi, S.R., Semiatin, S.L., 2005. Strain hardening due to deformation twinning in α-titanium: constitutive relations and crystal-plasticity modeling. Acta Materialia 53, 3495-3502. (Pubitemid 40761052)
63. Salje, E.K.H., Buckley, A., Van Tendeloo, G., Ishibashi, Y., Nord, G.L., 1998. Needle twins and right-angled twins in minerals: comparison between experiment and theory. American Mineralogist 83, 811-822. (Pubitemid 28519548)
64. Savrun, E., Scott, W.D., Harris, D.C., 2001. The effect of titanium doping on the high-temperature rhombohedral twinning of sapphire. Journal of Materials Science 36, 2295-2301. (Pubitemid 32517487)
65. Serra, A., Bacon, D.J., Pond, R.C., 1988. The crystallography and core structure of twinning dislocations in Hcp metals. Acta Metallurgica 36, 3183-3203.
66. Shan, Z.W., Lu, L., Minor, A.M., Stach, E.A., Mao, S.X., 2008. The effect of twin plane spacing on the deformation of copper containing a high density of growth twins. JOM-US 60, 71-74.
67. Shiekhelsouk, M.N., Favier, V., Inal, K., Cherkaoui, M., 2009. Modelling the behaviour of polycrystalline austenitic steel with twinning-induced plasticity effect. International Journal of Plasticity 25, 105-133.
68. Song, S.G., Gray, G.T., 1995a. Influence of Temperature and Strain-Rate on Slip and Twinning Behavior of Zr. Metallurgical and Materials Transactions A - Physical Metallurgy and Materials Science 26, 2665-2675.
69. Song, S.G., Gray, G.T., 1995b. Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti. 1: Application of the coincidence site lattice (Csl) theory to twinning problems in Hcp structures. Acta Metallurgica et Materialia 43, 2325-2337.
70. Song, S.G., Gray, G.T., 1995c. Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti. 2: Tem study of twin morphology and defect reactions during twinning. Acta Metallurgica et Materialia 43, 2339-2350.
71. Thamburaja, P., Pan, H., Chau, F.S., 2009. The evolution of microstructure during twinning: constitutive equations, finite-element simulations and experimental verification. International Journal of Plasticity 25, 2141-2168.
72. Tome, C.N.e.a., 2001. In: Symposium on HCP Metals. TMS/AIME New Orleans.
73. Wiezorek, J.M.K., DeLuca, P.M., Mills, M.J., Fraser, H.L., 1997. Deformation mechanisms in a binary Ti-48 at.%Al alloy with lamellar microstructure. Philosophical Magazine Letters 75, 271-280. (Pubitemid 127700006)
74. Williams, J.C., Baggerly, R.G., Paton, N.E., 2002. Deformation behavior of HCPTi-Al alloy single crystals. Metallurgical and Materials Transactions A - Physical Metallurgy and Materials Science 33, 837-850. (Pubitemid 34406083)
75. Wyatt, Z., Ankem, S., 2010. Recent developments in mechanisms and the kinetics of deformation twinning in titanium alloys. Materials Science Forum 654-656, 863-866.
76. Xiao, G.H., Tao, N.R., Lu, K., 2008. Effects of strain, strain rate and temperature on deformation twinning in a Cu-Zn alloy. Scripta Materialia 59, 975-978.
77. Yoo, M.H., 1998. Twinning and mechanical behavior of titanium aluminides and other intermetallics. Intermetallics 6, 597-602. (Pubitemid 128378707)
78. Yoo, M.H., Lee, J.K., 1991. Deformation twinning in Hcp metals and alloys. Philosophical Magazine A 63, 987-1000. (Pubitemid 21664182)
79. Zaefferer, S., 2003. A study of active deformation systems in titanium alloys: dependence on alloy composition and correlation with deformation texture. Materials Science and Engineering A - Structural Materials Properties Microstructure and Processing 344, 20-30. (Pubitemid 36101269)
80. Zeng, Z.P., Jonsson, S., Roven, H.J., 2009. The effects of deformation conditions on microstructure and texture of commercially pure Ti. Acta Materialia 57, 5822-5833.
81. Zerilli, F.J., Armstrong, R.W., 1997. Dislocation mechanics based analysis of material dynamics behavior: enhanced ductility, deformation twinning, shock deformation, shear instability, dynamic recovery. Journal de Physique IV 7, 637-642.
82. Zhou, W., Chew, K.G., 2002. The rate dependent response of a titanium alloy subjected to quasi-static loading in ambient environment. Journal of Materials Science 37, 5159-5165.