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Use of EBSD Data in Mesoscale Numerical Analyses

  • Richard Becker
  • Hasso Weiland

Abstract

Experimentation, theory, and modeling have all played vital roles in defining what is known about microstructural evolution and the effects of microstructure on material properties. Recently, technology has become an enabling factor, allowing significant advances to be made on several fronts. Experimental evidence of crystallographic slip and the basic theory of crystal plasticity were established in the early 20th century (Polanyi, 1922; Schmid, 1924; Taylor and Elam, 1925), and the theory and models evolved incrementally over the next 60 years (Taylor, 1938; Bishop and Hill, 1951; Hutchinson, 1964; Hill and Rice, 1972; Honneff and Mecking, 1978; Asaro, 1983a; Kocks et al., 1986). During this time, modeling was primarily concerned with the average response of polycrystalline aggregates. While some detailed finite element modeling (FEM) with crystal plasticity constitutive relations was performed in the early 1980’s (Peirce et al., 1982, 1983), such simulations over taxed the capacity of the available computer hardware. Advances in computer capabilities led to a flurry of activity in finite element modeling in the next 10 years (Harren et al., 1988; Havileck et al., 1990; Zikry and Nemat-Nasser, 1990; Becker et al., 1991; Kalidindi et al., 1992; Beaudoin et al., 1993; Saeedvafa and Rice, 1992; Mohan et al., 1992), thus increasing understanding of lattice orientation evolution and generating detailed predictions of spatial orientation distributions that could not be readily validated with existing experimental characterization methods.

Keywords

Slip System Slip Rate Crystal Plasticity Resolve Shear Stress Slip Trace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Reference

  1. Anand, L., and Kothari, M., 1996, A computational procedure for rate-independent crystal plasticity, J. Mech. Phys. Solids 44:525.CrossRefGoogle Scholar
  2. Asaro, R.J., 1983a, Crystal plasticity, J. Appl. Mech. 50:921.CrossRefGoogle Scholar
  3. Asaro, R.J., 1983b, Micromechanics of crystals and polycrystals, in: Advances in Applied Mechanics, Academic Press, New York.Google Scholar
  4. Bassani, J.L., 1990, Single crystal hardening, Appl. Mech. Rev. 43:S320.CrossRefGoogle Scholar
  5. Bassani, J.L., and Wu, T.-Y., 1991, Latent hardening in single crystals II. Analytical characterization and predictions, Proc. Roy. Soc. Lond. A 435:21.CrossRefGoogle Scholar
  6. Beaudoin, A.J., Mather, K.K., Dawson, P.R., and Johnson, G.C., 1993, Three dimensional deformation process simulation with explicit use of polycrystalline plasticity models, Int. J. Plast. 9:833.CrossRefGoogle Scholar
  7. Beaudoin, A. J., Bryant, J.D., and Korzekwa, D.A., 1998, Analysis of ridging in aluminum, Metall. Trans. A 29:2323.CrossRefGoogle Scholar
  8. Becker, R., 1991, Analysis of texture evolution in channel die compression-I. Effects of grain interaction, Acta Metall. Mater. 39:1211.CrossRefGoogle Scholar
  9. Becker, R., 1992, Analysis of shear localization during bending of a polycrystalline sheet, J. Appl. Mech. 59:491.CrossRefGoogle Scholar
  10. Becker, R., 1998, Effects of strain localization on surface roughening during sheet forming, Acta Mater. 46:1385.CrossRefGoogle Scholar
  11. Becker, R., Butler, J.F., Hu, H., and Lalli, L.A., 1991, Analysis of an aluminum single crystal with unstable initial orientation (001)[110] in channel die compression, Metal. Trans. A 22:45.Google Scholar
  12. Becker, R., and Panchanadeeswaran, S., 1995, Effects of grain interactions on deformation and local texture in polycrystals, Acta Metall. Mater. 43:2701.CrossRefGoogle Scholar
  13. Bhattacharyya, A., El-Danaf, E., Kalidindi, S.R., and Doherty, R.D., 2000, Evolution of grain-scale microstructure during large strain simple compression of polycrystalline aluminum with quasi- columnar grains: OIM measurements and numerical simulations, Submitted for publication.Google Scholar
  14. Bishop, J.F.W., and Hill, R., 1951, A theoretical derivation of the plastic properties of a polycrystalline face centered metal, Philos. Mag. 42:414.Google Scholar
  15. Cuitino, A.M., and Ortiz, M., 1992, Computational modelling of single crystals, Modelling Simul. Mater. Sei. Engr. 1:225.CrossRefGoogle Scholar
  16. Harren, S.V., 2000, On the constitutive behavior of thermoelastic-viscoplastic crystals: theoretical and computational issues, Submitted for publication.Google Scholar
  17. Harren, S.V., Dève, H.E., and Asaro, R.J., 1988, Shear band formation in plane strain compression, Acta Metall. 36:2435.CrossRefGoogle Scholar
  18. Havilcek, F., Kratochvil, J., Tokuda, M., and Lev, V., 1990, Finite element model of plastically deformed multicrystal, Int. J. Plast. 6:281.CrossRefGoogle Scholar
  19. Hill, R., and Rice, J.R., 1972, Constitutive analysis of elastic-plastic crystals at arbitrary strain, J. Mech. Phys. Solids 20:401.CrossRefGoogle Scholar
  20. Honneff, H., and Mecking, H., 1978, Textures in Metals, G. Gottstein and K. Lücke, eds., Springer, Berlin.Google Scholar
  21. Humphreys, F.J., 1998, Quantitative metallography by electron backscattered diffraction, J. Microscopy 195:170.CrossRefGoogle Scholar
  22. Humphreys, F.J., 1999, Modelling microstructural evolution during annealing, Presented at workshop on Integrated Materials Modelling, Achen, Germany.Google Scholar
  23. Hutchinson, J.W., 1964, Plastic deformation of B.C.C. polycrystals, J. Mech. Phys. Solids 12:25.CrossRefGoogle Scholar
  24. Kalidindi, S.R., Bronkhorst, CA., and Anand, L., 1992, Crystallographic texture evolution in bulk deformation processing of FCC metals, J. Mech. Phys. Solids 40:537.CrossRefGoogle Scholar
  25. Kallivayalil, J.A., Weiland, H., and Becker, R., 1998, Unpublished research.Google Scholar
  26. Kocks, U.F., Tomé, C, and Canova, G.R., 1986, Effective-cluster simulation of polycrystal plasticity, in: Large Deformations of Solids, J. Gittus, J. Zarka, and S. Nemat-Nasser, eds., Elsevier Applied Science, New York.Google Scholar
  27. Miehe, C, 1996, Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals, Int. J. Num. Meth. Engr. 39:3367.CrossRefGoogle Scholar
  28. Mohan, R., Ortiz, M., and Shih, CF., 1992, Mode mixity effects on crack tip deformation in ductile single crystals, Acta. Metall. Mater. 40:1907.CrossRefGoogle Scholar
  29. Ortiz, M., and Stainier, L., 1999, The variational formulation of viscoplastic constitutive updates, Comp. Meth. Appl. Mech. Engr. 171:419.CrossRefGoogle Scholar
  30. Panchanadeeswaran, S., Doherty, R.D., and Becker, R., 1996, Direct observation of orientation change by channel die compression of polycrystalline aluminum—use of a split sample, Acta Mater. 44:1233.CrossRefGoogle Scholar
  31. Peirce, D., Asaro, R.J., and Needleman, A., 1982, An analysis of nonuniform and localized deformation in ductile single crystals, Acta Metall. 30:1087.CrossRefGoogle Scholar
  32. Peirce, D., Asaro, R.J., and Needleman, A., 1983, Material rate dependence and localized deformation in crystalline solids, Acta Metall. 31:1951.CrossRefGoogle Scholar
  33. Polanyi, von M., 1922, Röntegenographische bestimmung von kristallanordnungen, Naturwissenschaften 10:411.CrossRefGoogle Scholar
  34. Qin, Q., and Bassani, J.L., 1992, Non-Schmid yield behavior in single crystals, J. Mech. Phys. Solids 40:813.CrossRefGoogle Scholar
  35. Radhakrishnan, B., Sarma, G., Weiland, H., and Baggathun, P., 2000, Simulation of deformation and recrystallization of single crystals of aluminum containing hard particles, submitted to Modeling and Simulation in Materials Science and Engineering.Google Scholar
  36. Saeedvafa, M., and Rice, J.R., 1992, Crack tip fields in a material with three independent slip systems: NiAl single crystal, Modelling and Simul. Mater. Sci. Engr. 1:53.CrossRefGoogle Scholar
  37. Schmid, E., 1924, Proc. Int. Cong Appl. Mech. (Delft), 342.Google Scholar
  38. Schwartz, A.J., Stölken, J.S., King, W.E., and Campbell, G.H., 2000, Lattice rotation during compression deformation of a [011] Ta Single Crystal, to appear in Mat. Sci Engr. A. Google Scholar
  39. Stölken, J.S., King, W.E., Schwartz, A. J., Wall, M.A., and Nguyen, L., 1999, Reconstruction of a 3D micro- structure using orientation imaging microscopy, in: Advances in Materials Problem Solving with the Electron Microscope, C. Allen, J. Bentley, U. Dahmen and I. Petrov, eds., MRS Proceedings, Boston.Google Scholar
  40. Taylor, G.I., 1938, Plastic strain in metals, J. Inst. Met. 62:307.Google Scholar
  41. Taylor, G.I., and Elam, CF., 1925, The plastic extension and fracture of aluminum crystals, Proc. R. Soc. London, Sec A 108:28.CrossRefGoogle Scholar
  42. Tvergaard, V., Needleman, A., and Lo, K.K., 1981, Flow localization in the plane strain tensile test, J. Mech. Phys. Solids 29:115.CrossRefGoogle Scholar
  43. Vogel, S., Klimanek, P., Juul Jensen, D., and Richter, H., 1996, Effect of texture on the development of grain size distribution during normal grain growth, Scripta Mater. 34:1225.CrossRefGoogle Scholar
  44. Weiland, H., and Becker, R., 1999, Analysis of mesoscale deformation structures in aluminum, Deformation induced Microstructures: Analysis and Relation to Properties, J.B. Bilde-Sorensen, J.V. Cartensen, N. Hansen, D. Juul Jensen, T. Leffers, W. Pantleon, O.B. Pedersen and G. Winther, eds., Riso National Laboratory, Roskilde, Denmark.Google Scholar
  45. Zikry, M.A., and Nemat-Nasser, S., 1990, High strain-rate localization and failure of crystalline materials, J. Mech. Mater. 10:215.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Richard Becker
    • 1
  • Hasso Weiland
    • 2
  1. 1.Lawrence Livermore National LaboratoryLivermoreUSA
  2. 2.Alcoa Technical CenterAlcoa CenterUSA

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