Some practical features for calculating the polycrystalline elastic properties from texture

The prediction of the elastic properties of a polycrystalline material requires the knowledge of its orientation density function (ODF), which represents mathematically the crystallographic texture. The real piece of texture information needed for such calculations depends on the modelling and is obtained from pole figures, the number of which is determined by crystal symmetry. According to these features different methods have been used to calculate (mean values, self-consistent approach) the elastic properties of low-symmetry materials with minimal texture information. Calculation of these properties for hexagonal materials becomes very simple and can be achieved directly from 00.1 pole figures.