Abstract
The macroscopic elastic properties of a polycrystalline aggregate depend on the elastic anisotropy of its crystallites and on the texture. Besides that, also geometrical structure parameters have an influence which is confined within the Voigt‐ and Reuss‐averages as upper and lower bounds. These geometrical parameters are grain sizes, grain shapes, and mutual arrangement of grains e.g. number of neighbours and orientation correlation. In the present paper this latter influence, i.e. orientation correlation was studied by model calculations based on a cluster model described earlier. It was found that “low‐angle‐correlation” leads to higher elastic stiffness and “high‐angle‐correlation” results in elastically “softer” materials compared with the uncorrelated arrangement of the same crystal orientations in the aggregate.
Highlights
The elastic properties of polycrystalline materials are certain averages of the corresponding properties of the constituting grains
Within the three types of cells used here the individual grains are arranged in "shells", i.e. our construction scheme starts with one grain in the centre of the cluster
After these introductory investigations we examine the effect of orientation correlation on the elastic constants of polycrystalline materials
Summary
The elastic properties of polycrystalline materials are certain averages of the corresponding properties of the constituting grains. In these investigations the different crystal orientations were distributed "at random" over the crystallites, the shapes and locations of which were definitely fixed. The Orientation Distribution Function (ODF) i.e. the texture of the material is defined by
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