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.