Analysis of Crystal Rotation by Taylor Theory

  • Motoaki Morita
  • Osamu Umezawa
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


Simple shear along specific slip plane in polycrystalline and rotation of grains was discussed. The Taylor theory was applied to bridge between macroscopic deformation behavior and crystal plasticity and to evaluate the orientation distribution. Its theoretical solution can hardly satisfy all of boundary condition and plastic dynamics so that the condition of dynamics was simplified and relaxed in the analysis. The path of crystal rotation due to slip deformation was quantitatively predicted by Taylor theory and gave an advantage on understanding of deformation texture. The analysis method can be applied to polycrystalline materials. Although good evaluation was available in fcc and bcc where the orientation distribution fitted well, no good fitting to experimental result in hcp materials was obtained.


Magnesium Alloy Slip System Simple Shear Orientation Distribution Slip Rate 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Taylor G.I., Plastic strain in metals. J. Inst. Metals 62, 307–324, 1938.Google Scholar
  2. 2.
    Bishop, J.F.W. and Hill, R., A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Phil. Mag. 42, 414, 1951a.MathSciNetMATHGoogle Scholar
  3. 3.
    Bishop, J.F.W. and Hill, R., A theoretical derivation of the plastic properties of a polycrystalline face centred metal. Phil. Mag. 42, 1298, 1951b.MathSciNetMATHGoogle Scholar
  4. 4.
    Houtte P.V. et al., Deformation texture prediction: from the Taylor model to the advanced Lamel model, Int. J. Plasticity, 21, 589, 2005.MATHCrossRefGoogle Scholar
  5. 5.
    Hosford, W.F., The mechanics of crystals and textured polycrystals, Oxford Univ. Press, 56, 1993.Google Scholar
  6. 6.
    Morita, M. and Umezawa, O., Slip deformation analysis based on full constraints model for α-type titanium alloy at low temperature, Journal of Japan Institute of Light metals, 2, 60, 61–67, 2010.CrossRefGoogle Scholar
  7. 7.
    ION, S.E., Humphreys, F.J. and White, S.H., Dynamic Recrystallization and the development of microstructure during high temperature deformation of magnesium, Acta metal., 30, 1909, 1982.Google Scholar
  8. 8.
    Hutchinson W.B. and M.R. Barnett, Effective values of critical resolved shear stress for slip in polycrystalline magnesium and other hcp metals, Scripta Meter., 63, 737, 2010.Google Scholar
  9. 9.
    Akhtar, A. and Teghtosoonian, E., Solid solution strengthening of magnesium single crystals- I Alloying behavior in basal slip, Acta Metal., 17, 1339, 1969.CrossRefGoogle Scholar
  10. 10.
    Akhtar, A. and Teghtosoonian, E., Solid solution strengthening of magnesium single crystals- II The effect of solution on the ease of prismatic slip, Acta Metal., 17, 1351, 1969.CrossRefGoogle Scholar
  11. 11.
    Helis, L., Behavior of deformation and texture formation of AZ31 and AZ61 magnesium alloys at high temperatures, Ph.D. Thesis, Yokohama National University, 2006.Google Scholar
  12. 12.
    Dillamore, I.L. and Katoh, H., The mechanisms of recrystallization in cubic metals with particular reference to their orientation-dependence, Mat. Sci.Tech., 8, 73, 1974.Google Scholar

Copyright information

© Springer Science+Businees Media, LLC 2011

Authors and Affiliations

  • Motoaki Morita
    • 1
  • Osamu Umezawa
    • 2
  1. 1.Graduate Student, Graduate School of EngineeringYokohama National UniversityHodogayaJapan
  2. 2.Faculty of EngineeringYokohama National UniversityHodogayaJapan

Personalised recommendations