Multi-Scale Modeling of Texture Evolution in Beryllium and Zirconium during Equal Channel Angular Extrusion

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This work studies the deformation mechanisms active in two pure hexagonal close packed metals, beryllium (Be) and zirconium (Zr), during equal channel angular extrusion processing. An experimental-theoretical approach is employed to assess their relative contributions through measurement and calculation of texture evolution. A new multi-scale constitutive model, incorporating thermally activated dislocation density based hardening, is shown to effectively predict texture evolution as a function of processing route, number of passes (up to four), initial texture, pressing rate, and processing temperature. Texture predictions are shown to be in very good agreement with experimental measurements. Also, it is found that the two most active deformation modes in Be are basal slip and prismatic slip, where the predominant one is interestingly found to depend on die angle. Deformation in Zr during the first pass is predicted to be accommodated not only by its easiest mode, prismatic slip, but by basal slip and tensile twinning.

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Periodical:

Materials Science Forum (Volumes 633-634)

Edited by:

Yonghao Zhao and Xiaozhou Liao

Pages:

483-510

Citation:

I. J. Beyerlein et al., "Multi-Scale Modeling of Texture Evolution in Beryllium and Zirconium during Equal Channel Angular Extrusion", Materials Science Forum, Vols. 633-634, pp. 483-510, 2010

Online since:

November 2009

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[1] V.M. Segal, V.I. Reznikov, A.E. Drobyshevski and V.I. Kopylov: Russ. Metall. Vol. 1 (1981), p.99.

[2] I.J. Beyerlein and L.S. Tόth: Prog. Mater. Sci. (2009), DOI: 10. 1016/j. pmatsci. 2009. 01. 001.

[3] G.G. Yapici, I. Karaman and Z-P. Luo: Acta Mater. Vol. 54 (2006), p.3755.

[4] Y. Perlovich, M. Isaenkova, V. Fesenko, M. Grekhov, S.H. Yu, S.K. Hwang and D.H. Shin: Mater. Sci. Forum Vol. 503-504 (2005), p.859.

[5] D.H. Shin, I. Kim, J. Kim, Y.S. Kim and S.L. Semiatin: Acta Mater. Vol. 51 (2003), p.983.

[6] S.R. Agnew, P. Mehrotra, T.M. Lillo, G.M. Stoica and P.K. Liaw: Acta Mater. Vol. 53 (2005), p.3135.

[7] S.R. Agnew, J.A. Horton, T.M. Lillo and D.W. Brown: Scripta Mater. Vol. 50 (2004), p.377.

[8] S.R. Agnew, P. Mehrotra, T.M. Lillo, G.M. Stoica and P.K. Liaw: Mater. Sci. Engng. A Vol. 408 (2005), p.72.

[9] M. Al-Maharbi, D.T. Foley, I. Karaman, K.T. Hartwig, I.J. Beyerlein, S. Mathaudhu and L. Kecskes: in preparation (2009).

[10] B. Beausir, S. Suwas, L.S. Tόth, K.W. Neale and J-J. Fundenberger: Acta Mater. Vol. (2008), p.200.

[11] A. Oppedal et al.: in preparation (2009).

[12] R.B. Figueiredo, A.P. Zhilyaev, T.G. Langdon and I.J. Beyerlein (2009), in preparation.

[13] R.D. Field, K.T. Hartwig, C.T. Necker and J.F. Bingert, S.R. Agnew: Metall. Mater. Sci. Vol. 33 (2002), p.965.

[14] I.J. Beyerlein, R.D. Field, K.T. Hartwig and C.T. Necker: J. Mater. Sci. Vol. 43 (2008), p.7465.

[15] S. Li, D.J. Alexander, I.J. Beyerlein and D.W. Brown, in: Proceedings of ICOTOM-15 (2008) CD-ROM.

[16] W.S. Choi, H.S. Ryoo, S.K. Hwang, M.H. Kim, S.I. Kwun and S.W. Chae: Metall. Mater. Trans. A Vol. 33 (2002), p.973.

[17] Y. Perlovich, M. Isaenkova, V. Fesenko, M. Grekhov, I. Alexandrov and I.J. Beyerlein: Mater. Sci. Forum Vol. 503-504 (2006), p.853.

[18] W.Q. Cao, S.H. Yu, Y.B. Chun, Y.C. Yoo, C.M. Lee, D.H. Shin and S.K. Hwang: Mater. Sci. Engng. A Vol. 395 (2005), p.77.

[19] S.H. Yu, Y.B. Chun, W.Q. Cao, M.H. Kim, S.W. Chae, S.I. Kwun, D.H. Shin and S.K. Hwang: Met. Mater. Inter. Vol. 11 (2005), p.101.

[20] S.H. Yu, Y.B. Chun, S.K. Hwang and D.H. Shin: Phil. Mag. Vol. 85 (2005), p.345.

[21] G.G. Yapici, C.N. Tomé, I.J. Beyerlein, I. Karaman, S.C. Vogel, and C. Liu: submitted to Acta Mater. (2009).

[22] L. Capolungo and I.J. Beyerlein: Phys. Rev. B. Vol. 78 (2008), p.024117.

[23] I.J. Beyerlein and C.N. Tomé: Int. J. Plast. Vol. 24 (2008), p.867.

[24] L. Capolungo, I.J. Beyerlein, G.C. Kaschner and C.N. Tomé: Mater. Sci. Engng. A (2008), in press.

[25] D.W. Brown et al.: in preparation (2009).

[26] G.C. Kaschner, C.N. Tomé, I.J. Beyerlein, S.C. Vogel, D.W. Brown, and R.J. McCabe: Acta Mater. Vol. 54 (2006), p.2887.

[27] U.F. Kocks, C.N. Tomé and H. -R. Wenk: Texture and Anisotropy - Preferred Orientations in Polycrystals and their Effect on Materials Properties (Cambridge University Press 1998).

[28] R.A. Lebensohn and C.N. Tomé: Acta Metall. Mater. Vol. 41 (1993), p.2611.

[29] R.J. Asaro and A. Needleman: Acta Metall. Vol. 33 (1985), p.923.

[30] L. Capolungo, I.J. Beyerlein and C.N. Tomé: Scripta Mater. Vol. 60 (2009), p.32.

[31] Eshelby, J.D. Proc. Roy. Soc. London A Vol. 241 (1957), p.376.

[32] V.M. Segal: Mater. Sci. Engng. A Vol. 197 (1995), p.157.

[33] V.M. Segal: Mater. Sci. Engng. A Vol. 271 (1999), p.322 Mater. Vol. 54 (2006), p.2887.

[34] V.M. Segal: Mater. Sci. Engng A Vol. 345 (2003), p.36.

[35] I.J. Beyerlein and C.N. Tomé: Mater. Sci. Engng. A Vol. 380 (2004), p.171.

[36] I.J. Beyerlein, S. Li, C.T. Necker, D.J. Alexander and C.N. Tomé: Phil. Mag. Vol. 85 (2005), p.1359.

[37] S. Li, A.A. Gazder, I.J. Beyerlein, C.H.J. Davies and E.V. Pereloma: Acta Mater. Vol. 55 (2007), p.1017.

[38] S. Li, I.J. Beyerlein, C.T. Necker: Acta Mater. Vol. 54 (2006), p.1397.

[39] S. Li, M.A.M. Bourke, I.J. Beyerlein, D.J. Alexander and B. Clausen: Mater. Sci. Engng. A Vol. 382 (2004), p.217.

[40] S. Mahesh, I.J. Beyerlein and C.N. Tomé: Scripta Mater. Vol. 53 (2005), p.965.

[41] S. Li, I.J. Beyerlein, C.T. Necker, D.J. Alexander and M.A.M. Bourke: Acta Mater. Vol. 52 (2004), p.4859.

[42] I.J. Beyerlein, R.A. Lebensohn and C.N. Tomé: Mater. Sci. Engng. A Vol. 345 (2003), p.122.

[43] S. Li, S.R. Kalidindi, I.J. Beyerlein: Mater. Sci. Engng. A Vol. 410-411 (2005), p.207.

[44] C.N. Tomé, R.A. Lebensohn and C.T. Necker: Metall. Mater. Trans. A Vol. 33 (2002), p.2635.

[45] S. Li, I.J. Beyerlein, D.J. Alexander and S.C. Vogel: Acta Mater. Vol. 53 (2005), p.2111.

[46] S.C. Vogel, I.J. Beyerlein, M.A.M. Bourke, C.N. Tomé, P. Rangaswamy, C. Xu and T.G. Langdon: Mater. Sci. Forum Vol. 408-412 (2002), p.673.

DOI: https://doi.org/10.4028/www.scientific.net/msf.408-412.673

[47] J.W. Signorelli, R. Logé, P.A. Turner, V. Sordi, E.A. Vieira, M. Ferrante, R.E. Bolmaro: Mater. Sci. Forum Vol. 495-497 (2005), p.775.

DOI: https://doi.org/10.4028/www.scientific.net/msf.495-497.775

[48] N.A. Enikeev, M.F. Abdullin, A.A. Nazarov and I.J. Beyerlein: Int. J. Mater. Res. Vol. 98 (2007), p.167.

[49] A.A. Nazarov, N.A. Enikeev, A.E. Romanov, T.S. Orlova, I.V. Alexandrov and I.J. Beyerlein, R.Z. Valiev: Acta Mater. Vol. 54 (2006), p.985.

[50] G. Proust, C.N. Tomé and G.C. Kaschner: Acta Mater. Vol. 55 (2007), p.2137.

[51] U. Essmann and H. Mughrabi: Phil. Mag. A Vol. 40 (1979), p.731.

[52] H. Mecking and U.F. Kocks: Acta Metall. Vol. 29 (1981), p.1865.

[53] S.J. Basinski and Z.S. Basinski, in: Dislocations in Solids, volume 4, North-Holland, Amsterdam (1979).

[54] R. Madec, B. Devincre and L.P. Kubin: Phys. Rev. Lett. Vol. 89 (2002), p.255508.

[55] F. Aldinger, in: Beryllium Science and Technology, edited by D. Webster and G.J. London, volume 1, chapter 1, Plenum Press (1979).

[56] R.J. McCabe, E.K. Cerreta, A. Misra, G.C. Kaschner and C.N. Tomé: Phil. Mag. Vol. 86 (2006), p.3595.

[57] A. Akhtar: J. Nuclear Mater. Vol. 47 (1973), p.79.

[58] A. Akhtar: Metall. Trans. A Vol. 6 (1975), p.1217.

[59] A. Akhtar and A. Teghtsoonian: Acta Metall. Vol. 19 (197), p.655.

[60] J.I. Dickson and G.B. Craig. J Nuclear Mater. Vol. 40 (1971), p.346.

[61] J.L. Martin and R.E. Reed-Hill: Trans. AIME. Vol. 230 (1964), p.780.

[62] M.J. Philippe and M. Serghat, P. Van Houtte, C. Esling: Acta Metall. Vol. 43 (1995), p.1619.

[63] F. Xu, R.A. Holt, M.R. Daymond: J. Nucl. Mater. Vol. 373 (2008), p.217.

[64] A. Salinas-Rodriguez: Acta Metall. Mater. Vol. 43 (1995), p.485.

[65] J.P. Hirth and J. Lothe: Theory of Dislocations (John Wiley & Sons, Kriger Publishing Company, New York 1982).

[66] B. Legrand: Phil. Mag. A Vol. 52 (1984), p.83.

[67] D.J. Bacon and V. Vitek: Metall. Mater. Trans. A Vol. 33 (2002), p.721.

[68] H.S. Rosenbaum, in: Deformation Twinning, edited by R.E. Reed-Hill, J.P. Hirth, H.C. Rogers, volume 25 of Metallurgical Society Conferences, chapter 3, Gordon and Breach Science Publishers, New York (1964).

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