Effect of texture dispersion on the effective biaxial modulus of cubic polycrystalline films

The effective biaxial modulus of fiber-textured cubic polycrystalline films with texture dispersion is estimated using Voigt–Reuss–Hill and Vook–Witt grain-interaction models. The orientation distribution function with Gaussian distributions of two Euler angles θ and ϕ is adopted to analyze the effect of texture dispersion degree on the effective biaxial modulus. Numerical results based on Cu and Cr fiber-textured films show that the distribution of angle ϕ has slight influence on the effective biaxial modulus of (0 0 1)-fiber-textured films if and only if the distribution of out-of-plane angle θ is narrow. Enhanced θ and ϕ distributions destroy the perfect fiber textures and as a result the films represent an evolution of ideal (h k l) fiber textures to nonideal or random textures with varying full widths at half maximums of θ and ϕ.