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The Determination of the Axis of Lattice Rotation With Respect to a Change is Texture

  • C. Feng (a1)


It is known that a change in texture may take place in various metals and alloys following cold working, fabrication and recrystallization processes. Such change may be determined by an analysis of the pole figures obtained from the x-ray diffraction data. In numerous occasions, it is analogous to a lattice rotation.

In the present paper, a method is derived to identify the axis of rotation with respect to the starting and final texture of a given specimen. Once this axis is identified, the amount and the direction of the lattice rotation can be accurately determined. The techniques in obtaining a solution by mathematical calculation, and by stereographic presentation will be described. Discussion will be made also of the various parameters which may affect the validity and accuracy of the determination.



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1. Williams, R. O., “The Representation of the Textures of Rolled Copper and Aluminum by Biaxial Pole Figures”, AIME Trans. 242, 105115, 1968.
2. Jetter, L. K., McHargue, C. J. and Williams, R. O., “Method of Representative Preferred Orientation Data”, J. Appl. phys. 27, 368374, 1956.
3. Svensson, N. L., “Estimation of Yield Strength Anisotropy Due to Preferred Orientation”, AIME Trans, 236, 10041009, 1966.
4. Feng, C. and Krull, E.Anisotropy in Plastic Flow of a Ti-8A1- 1Mo-lV AlloyAIME Trans. 245, 11011109, 1969.

The Determination of the Axis of Lattice Rotation With Respect to a Change is Texture

  • C. Feng (a1)


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