Direct determination of physical properties from continuous orientation distributions

Abstract

Traditionally, the orientation distribution function (ODF) of textured materials has been derived by a deconvolution of pole figures using the harmonic method. Recently, other methods of ODF calculation have been proposed which require a modification of procedures. We describe here a combined method for deriving harmonic coefficients from any ODF, using as an example the WIMV method [S. Matthies and G. W. Vinel, Phys. Status Solidi B 112, K111 (1982)] applied to calcite with orthorhombic specimen and trigonal crystal symmetries. The results demonstrate that elastic properties derived from the harmonic and WIMV results are indistinguishable. Furthermore, we document that the ODF contribution which is not implicit in pole figures (odd coefficients) can be obtained by WIMV with fair accuracy for a complex simulated texture.