Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Taylor G.I., Plastic strain in metals. J. Inst. Metals 62, 307–324, 1938.
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.
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.
Houtte P.V. et al., Deformation texture prediction: from the Taylor model to the advanced Lamel model, Int. J. Plasticity, 21, 589, 2005.
Hosford, W.F., The mechanics of crystals and textured polycrystals, Oxford Univ. Press, 56, 1993.
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.
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.
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.
Akhtar, A. and Teghtosoonian, E., Solid solution strengthening of magnesium single crystals- I Alloying behavior in basal slip, Acta Metal., 17, 1339, 1969.
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.
Helis, L., Behavior of deformation and texture formation of AZ31 and AZ61 magnesium alloys at high temperatures, Ph.D. Thesis, Yokohama National University, 2006.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Businees Media, LLC
About this paper
Cite this paper
Morita, M., Umezawa, O. (2011). Analysis of Crystal Rotation by Taylor Theory. In: Proulx, T. (eds) Optical Measurements, Modeling, and Metrology, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0228-2_13
Download citation
DOI: https://doi.org/10.1007/978-1-4614-0228-2_13
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-0227-5
Online ISBN: 978-1-4614-0228-2
eBook Packages: EngineeringEngineering (R0)