Abstract
The application of automated EBSD techniques in the context of an overall predictive materials modeling effort incorporating anisotropic properties for tantalum and zirconium is covered in this chapter. The focus will be on the role of microtextural investigations as an integral tool supporting the development and validation of material models that incorporate anisotropic constitutive behavior. Continuum mechanics codes require accurate descriptions of materials behavior to adequately predict large-strain deformation response. The corresponding requirement of characterizing micro structure s after significant deformation places severe requirements on the EBSD system. In this work, a Philips XL30 SEM employing a warm Schottky FEG was used for all data collection; the combination of high resolution with adequate beam current was a necessity for analyzing fine detail amid heavily worked structures. The ability to spatially resolve orientation differences on the order of 100 nm is achievable. All EBSD data collection and analysis was performed with TSL’s OIM™ software, while the popLA code (Kallend et al., 1991) was used for x-ray texture analysis.
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Chen, S.R., and Gray, III G.T., 1996, Constitutive behavior of tantalum and tantalum-tungsten alloys, Met. Trans. 27A:2994.
Christian, J.W., and Mahajan, S., 1995, Deformation twinning, Prog. Mat. Sci. 39:1.
Clark, J.B., Garrett, Jr., R.K., Jungling, T.L., and Vandermeer, R.A., 1991, Effect of processing variables on texture and texture gradients in tantalum, Met. Trans. 22A:2039.
Follansbee, P.S., and Kocks, U.F., 1988, A constitutive description of the deformation of copper based on the use of mechanical threshold stress as an internal state variable, Acta Metall. 36:81.
Gray III G.T., Bourne, N.K., Zocher, M.A., Maudlin, P.J., Millett, J.C.F., 1999, Influence ofcrystallographic anisotropy on the Hopkinson fracture ‘spallation’ of zirconium, in: Shock Compression of Condensed Matter -1999, M.F. Furnish, ed., Amer. Inst. Physics Press, Woodbury.
Hawkyard, J.B., 1969, A theory for the mushrooming of flat-ended projectiles impinging on a flat rigid anvil, using energy considerations. Int. J. Mech. Sci. 11:313.
Hill, R., 1950, The Mathematical Theory of Plasticity, Oxford University Press, London.
Hughes, D.A., Liu, Q., Chrzan, D.C., and Hansen, N., 1997, Scaling of microstructural parameters: misorientations of deformation induced boundaries, Acta mater. 45:105.
Hughes, D.A., and Hansen, N., 1997, High angle boundaries formed by grain subdivision mechanisms, Acta mater. 45:3871.
Hughes, D.A., Chrzan, D.C., Liu, Q., and Hansen, N., 1998, Scaling of misorientation angle distributions, Phys. Rev. Let. MA 664.
Humphreys, F.J., Prangnell, P.B., Bowen, J.R., Gholinia, A., and Harris, C, 1999, Developing stable fine- grain microstructures by large strain deformation, Phil. Trans. R. Soc. Lond. A. 357:1663.
Kallend, J.S., Kocks, U.F., Rollett, A.D., and Wenk, H.-R., 1991, Operational texture analysis, Mat. Sci. Eng. A132:1.
Kaschner, G.C., Gray, III G.T., and Chen, S.R., 1997, The influence of texture and impurities on the mechanical behavior of zirconium, in: Shock Compression of Condensed Matter, S.C. Schmidt, D.P. Dandekar, and J.W. Forbes, eds., American Institute of Physics, Amherst, MA.
Kaschner, G.C., and Gray, III, G.T., 2000, The influence of crystallographic texture and interstitial impurities on the mechanical behavior of zirconium, submitted to Metall. Trans. A.
Kelly, A.M., Bingert, S.R., and Reiswig, R.D., 1996, New metallographic preparation techniques for tantalum and tantalum alloys, Microstr. Sci. 23:185.
Kelly, A.M., Bingert, S.R., and Thoma, D.J., 1998, Application of new tantalum metallographic preparation techniques to Group IV and V metals, Microstr. Sci. 26:347.
Kocks, U.F., and Chandra, H., 1982, Slip geometry in partially constrained deformation, Acta Metal. 30:695.
Kuhlman-Wilsdorf, D., and Hansen, N., 1991, Geometrically necessary, incidental and subgrain boundaries, Scr. Metall. Mater.251557.
Lebensohn, R.A., and Tomé, C.N., 1993, A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys, Acta metali. mater. 41:2611.
Lee, E.H., and Tupper, S.J., 1954, Analysis of plastic deformation in a steel cylinder striking a rigid target, J. Appl.Mech. 21:63.
Liu, Q., and Hansen, N., 1995, Geometrically necessary boundaries and incidental dislocation boundaries formed during cold deformation, Scr. Metall. Mater. 32:1289.
Maudlin, P.J., Wright, S.I., Kocks, U.F., and Sahota, M.S., 1996, An application of multisurface plasticity: yield surfaces of textured materials, Acta Mater. 44:4027.
Maudlin, P. J., Bingert, J.F., House, J.W., and Chen, S.R., 1999, On the modeling of the Taylor cylinder impact test for orthotropic textured materials: experiments and simulations, Int. J. Plasticity 15:139.
Maudlin, P.J., Bingert, J.F., Gray III G.T., and Garrett Jr., R.K., 1999b, Symmetry investigation of textured polycrystal properties, to be published in: Proc. Fall 99 MRS Meeting.
Maudlin, P.J., Gray, III G.T., Cady, CM., and Kaschner, G.C., 1999c, High-rate material modeling and validation using the Taylor cylinder impact test, Phil. Trans. R. Soc. Lond. A. 357:1707.
Maudlin, P.J., and Bingert, J.F., 1999d, unpublished research.
Reed-Hill, R.E., 1964, Role of deformation twinning in the plastic deformation of a polycrystalline anisotropic metal, in: Deformation Twinning, J.P. Hirth, R.E. Reed-Hill, and H.C. Rogers, eds., TMS, Warrendale, PA.
Schwartz, A. J., Lasilla, D.H., and LeBlanc, M.M., 1998, The effects of tungsten addition on the microtexture and mechanical behavior of tantalum plate, Mat. Sci. Eng. A244:178.
Taylor, G.I., 1948, The use of flat-ended projectiles for determining dynamic yield stress. I. Theoretical considerations. Proc. R. Soc. Lond. A. 194:289.
Tenckhoff, E., 1988, Deformation Mechanisms, Texture, and Anisotropy in Zirconium and Zircaloy, Special Technical Publication 966, ASTM, Philadelphia, PA.
Tomé, C, Canova, G.R., Kocks, U.F., Christodolou, N., and Jonas, J.J., 1984, The relation between macroscopic and microscopic strain-hardening in fcc polycrystals, Acta Metall 32:1637.
VonDreele, R.B., 1997, Quantitative texture analysis by Rietveld refinement, J. Appl. Crystall 30:517.
Wright, S.I., Bingert, S.R., and Johnson, M.D., 1994, Effect of annealing temperature on the texture of rolled tantalum and tantalum-10 wt.% tungsten, in: Proc. 2nd Intl. Conf. on Tungsten and Refractory Metals, A. Bose and R.J. Dowding, eds., MPIF, Princeton, NJ.
Wright, S.I., Gray III G.T., and Rollett, A.D., 1994b, Texture and microstructural gradient effects on the mechanical behavior of a tantalum plate, Met. Mat. Trans. 25A:1025.
Wright, S.I., Beaudoin, A.J., and Gray III G.T., 1994c, Texture gradient effects in tantalum, Mat. Sei. Forum. 157–162:1695.
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Bingert, J.F., Mason, T.A., Kaschner, G.C., Maudlin, P.J., Gray, G.T. (2000). Anisotropic Plasticity Modeling Incorporating EBSD Characterization of Tantalum and Zirconium. In: Schwartz, A.J., Kumar, M., Adams, B.L. (eds) Electron Backscatter Diffraction in Materials Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3205-4_18
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DOI: https://doi.org/10.1007/978-1-4757-3205-4_18
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