Self-consistent elastic properties for transversely isotropic polycrystals

摘要

The elastic constants of a polycrystalline material are related to the single crystal elastic con- stants, the distribution of crystalline orientations, and the shapes of the crystallites. In order to address the needs of thin film mechanics, Kneer's method for obtaining self-consistent polycrystalline elastic constants from single crystal constants is applied to materials with transversely isotropic physical symmetry, cubic, hexagonal, and rhombohedral crystal symmetry, and an average grain aspect ratio.