Effective biaxial modulus and strain energy density of ideally (h k l)-fiber-textured cubic polycrystalline films

The effective biaxial modulus (Meff) and strain energy density (W) of cubic polycrystalline films with ideally (h k l) fiber textures are estimated using Vook-Witt (VW) grain interaction model and the data are compared with those derived from Voigt, Reuss and Voigt-Reuss-Hill (VRH) models. Numerical results show that the VW average of Meff for ideally (1 0 0)- or (1 1 1)-fiber-textured films is identical to the VRH average of Meff. For (1 1 0) and (1 1 2) planes, however, the VW average of Meff for (1 1 0)-fiber-textured film is larger than that of (1 1 2)-fiber-textured film when the Zener anisotropic factor (AR) is not equal to 1. Furthermore, Meff and W exhibit incremental tendencies with the increase of the orientation factor (Γh k l) for the [h k l] axis when AR > 1, implying that Meff and W have the minimums on the (1 0 0) plane. Reversely, Meff and W decrease with the increasing Γh k l when AR < 1. This means that Meff and W on (1 1 1) plane have the minimums.