Elastic properties of textured metals with a hexagonal lattice

Abstract

1. The analytical approach used in this work provides high accurary in calculation of the averaged elastic constants of close-packed hexagonal materials with axial texture. In contrast to other approaches to averaging, the distribution function of the crystallites with respect to orientations is represented by a Gauss distribution. This significantly simplifies the averaging procedure and analysis of the behavior of the elastic constants. The analysis of the relationship of the elastic constants to the direction of the crystallographic axis of the texture and the dispersion of the texture made it possible to detect a number of anomalies in their behavior. The appearance of the anomalies is not the same for the different averaged elastic constants in relation to the degree of anisotropy. 2. With a dispersion in structure of σ→90° isotropy is reached in practice regardless of the orientation the axis of the texture. A deviation in the axis of the texture from the [0001] direction by an angle of ∼50° leads to the minimum anisotropy of the averaged values regardless of the amount of dispersion in texture.