ELASTIC ANISOTROPY OF HCP METAL CRYSTALS AND POLYCRYSTALS

Abstract

The monocrystal elastic behaviours of twenty four hexagonal close packed (HCP) metals at room temperature are reviewed based on published values of their monocrystal elastic constants. In particular, the angular variation of the Young’s Modulus (E) and the Rigidity (Shear) Modulus (G) are determined using general equations developed by Voigt [1928] and comparisons between the different metals presented graphically. The consequences of anisotropic monocrystal behaviour on the elastic behaviour of polycrystals composed of randomly oriented grains (crystal aggregates) are explored using a three dimensional spherical analysis together with the analytical methods of Voigt [1889] and Reuss [1929], and comments made on the consequences of non-randomly oriented grains.