| Abstract: | The averaged elastic constants of polycrystals can be found by averaging the stresses (Voigt method 1]) or the strains (Reuss method 2]). Comparison of the elastic moduli, averaged according to Voigt and Reuss, with the experimental values shows that in the first case averaging gives values that are too high, and in the second values that are too low 3]. The reason for this is that direct averaging of the moduli with respect to arbitrary orientations of the crystallites does not take account of correlation effects. There are two ways of allowing for such correlations between polycrystal grains. |
