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Relative Stability of Cube Orientation in Single Crystal Aluminium During Deformation

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Abstract

The goal of the present study was to characterize the relative stability of near Cube, {001}〈100〉 orientations under plane strain deformation and then to validate the experimental observations with available deformation texture models. For the first part, single crystal exact Cube and Cube rotated along the rolling (RD), transverse (TD) and normal (ND) directions were deformed to approximately 25, 60 and 80 % reductions in the channel die and deformed samples were characterized elaborately by both bulk and microtexture measurements. A strong pattern emerged for relative Cube stability, stability increasing in the order of 5° TD–exact Cube–5° ND–10° TD–5° RD, a pattern relatively not affected by the extent of strain. The Cube instability was accommodated by the strain localizations and at the early stages the extent of micro-textural instability was reflected on the measured (from the deformation) textural softening. The rotation of the near cube was generally along TD, except for RD rotated Cube. Though classical full constrain Taylor model failed to capture the trends of both rotation and relative Cube stability, the Grain Inter-action (GIA)-Split-up method could capture both effects approximately. It should be noted that the matching of the experimental trends were approximate and with several subtle contradictions (for example, the GIA model predicted less stability for 10° TD over 5° TD, while experimentally the reverse was observed), but the overall method is far better than classical Taylor and indeed has shown the best results in the relative Cube stability during deformation.

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Notes

  1. Though it has also been suggested [13] that local deformation heterogeneities, like transition bands, may produce cube orientation.

  2. Relaxed constrain Taylor models were also tried, but did not offer good predictability. Results from FC Taylor and GIA are the only ones cited in the present study.

  3. Except for RD rotated Cube, others recrystallized significantly during 80% deformation. The evidence is inconclusive to suggest either the static or the dynamic recrystallization mechanism.

  4. Textural softening can be considered as the criterion for plastic instability [24–27] and also as an index of relative orientation stability [31].

  5. Although the strong TD rotations often followed by RD rotations—an observation which does not agree with the experimental results (Table 2).

Abbreviations

RD:

Rolling direction

TD:

Transverse direction

ND:

Normal direction

°:

Degree (angle)

%:

Percentage

Z:

Zener-Hollomon factor

Q:

Activation energy

R:

Gas constant

T:

Temperature

\( \dot{\varepsilon } \) :

Strain rate

\( \dot{\varepsilon }_{ij} \) :

Strain rate tensor

σ:

True stress

ε:

True strain

s:

Second

Tf :

Taylor factor

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Acknowledgments

Authors like to acknowledge the present research analysis facility of Defence Institute of Advanced Technology, Pune; Prof. I. Samajdar of I.I.T, Bombay, for texture measurement and special suggestions on data interpretation and the manuscript preparation; Dr. Winning for the supply of Cube Single Crystal and Dr. Ing. Mischa Crumbach for the results of GIA model of Institut fuer Metallkunde und Metalphysik, Aachen, Germany.

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Authors and Affiliations

  1. Electron Microscope Group, Defence Metallurgical Research Laboratory, Hyderabad, 500058, India

    Prantik Mukhopadhyay

  2. Division of Engineering, Department of Materials Engineering, Brown University, Providence, RI, 02912, USA

    Syed Badirujjaman

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  1. Prantik Mukhopadhyay
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Correspondence to Prantik Mukhopadhyay.

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Mukhopadhyay, P., Badirujjaman, S. Relative Stability of Cube Orientation in Single Crystal Aluminium During Deformation. Trans Indian Inst Met 65, 343–353 (2012). https://doi.org/10.1007/s12666-012-0141-x

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