Skip to main content Accessibility help

Crystallite Orientation Analysis for Rolled Cubic Materials

  • Peter R. Morris (a1) and Alan J. Heckler (a1)


Roe's method for deriving the crystallite orientation distribution in a series of generalized spherical harmonics is applied to the analysis of texture in rolled cubic materials. The augmented Jacobi polynomials, which are the basis of the generalized spherical harmonics, have been derived for cubic crystallographic symmetry and orthotopic physical symmetry through the sixteenth order. Truncation of the series expansions at the sixteenth order should permit treatment of textures having a maximum of 17 times random and a minimum angular width at half maximum of 34°. A numerical technique has been developed which permits approximate evaluation of the integral equations from a finite array of data points. The method is illustrated for commercial steels and is used to elucidate the primary recrystalization texture of a decarburized Fe-3%Si alloy.



Hide All
1. Dunn, C. G., “On the Determination of Preferred Orientations,” J. Appl. Phys. 30: 850857, 1959.
2. Roe, Ryong-Joon, “Description of Crystallite Orientation in Polycrystalline Materials. III. General Solution to Pole Figure Inversion,” J”. Appl. Phys. 36: 20242031, 1965.
3. Roe, Ryong-Joon, “Inversion of Pole Figures for Materials Having Cubic Crystal Symmetrv,” J. Appl. Phys. 31: 20692072, 1966.
4. Lopata, Stanley L. and Kula, Eric B., “A Reflection Method for Pole-Figure Determination,” Tram. A1ME 224: 865866, 1962.
5. Meieran, Eugene S., “Use of the Reciprocal Lattice for the Development of a New Pole Figure Technique,” flea. Set. Instr. 33: 319322, 1962.
6. Schulz, L. G., “A Direct Method of Determining Preferred Orientation of a Flat Reflection Sample Using a Geiger Counter X-Ray Spectrometer,” J. Appl. Phys. 20: 10301033, 1949.
7. Feng, C., “Determination of Relative Intensity in X-Ray Reflection Study,” J. Appl. Phys. 36: 34323435, 1965.
8. Heckler, A. J., Elias, J. A., and Woods, A. P., “Automatic Computer Plotting of Pole Figures and Axis Density Figures,” Trans. AIME 239: 12411244, 1967.
9. Decker, B. F., Asp, E. T., and Harker, D., “Preferred Orientation Determination Using a Geiger Counter X-Ray Diffraction Goniometer,” J. Appl. Phys. 19: 388392, 1948.
10. Field, Michael and Merchant, M. Eugene, “Reflection Method of Determining Preferred Orientation on the Geiger-Counter Spectrometer,” J. Appl. Phys. 20: 741745, 1949.
11. Dunn, C. G., Cold Working of Metals, ASM, Cleveland, 1949, p. 123.
12. May, John E. and Turnbull, David, “Secondary Recrystallization in Silicon Iron,” Trans. AIME 212: 769781,1958.
13. Dunn, C. G. and Walter, J. L., Recrystallization, Grain Growth and Textures, ASM, Metals Park, Ohio, 1966, p. 509.

Crystallite Orientation Analysis for Rolled Cubic Materials

  • Peter R. Morris (a1) and Alan J. Heckler (a1)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed