Averaging Fourth-Rank Tensors with Weight Functions
- 1 February 1969
- journal article
- conference paper
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 40 (2) , 447-448
- https://doi.org/10.1063/1.1657417
Abstract
The problem of averaging fourth-rank tensors with texture describing weight functions has been solved for orthotropic physical symmetry and for orthorhombic crystal symmetry. The results are presented in tabular form. The procedure for extending the tabular results to tetragonal, hexagonal, and cubic crystal symmetries is indicated. The solution requires the coefficients of the generalized spherical harmonic expansion of the weight function up to fourth order, and entails only those approximations required to obtain such coefficients from experimental data.This publication has 2 references indexed in Scilit:
- Inversion of Pole Figures for Materials Having Cubic Crystal SymmetryJournal of Applied Physics, 1966
- Description of Crystallite Orientation in Polycrystalline Materials. III. General Solution to Pole Figure InversionJournal of Applied Physics, 1965