Today, anisotropy of the physical and mechanical properties of textured materials is mainly calculated based on average properties of a single crystal and information about the volume percent of grains that have different orientations, which can be determined with the help of distribution function. It is a fact that, in addition to the crystallographic texture, substructural inhomogeneity develops in rolled materials, which manifests itself as a difference in the distortion of the crystalline lattice (hardening) and elastic microstrains in grains belonging to different texture components. Substructural characterization is based on the X-ray method of Generalized Direct Pole Figures, which implies that a full profile of X-ray reflections is registered for different positions of the specimen, i.e. as a direct pole figure is being built. As a result, one can obtain the FWHMs of X-ray lines and elastic microstrains distributed on the stereographic projection. It means that a textured polycrystalline material that has undergone thermo-mechanical treatme nt is characterized with a certain spectrum of structural states and the presence of residual elastic microstrains. Therefore, the degree of macroscopic anisotropy of the product properties is defined both by the predominant grain orientation in the polycrystal and by the parameters of substructural inhomogeneity of grains belonging to different texture components. In spite of the fact that the elastic properties of an individual crystallite do not change and the tensile and compressive elastic microdeformations are balanced in the studied volume of the material, the elasticity of the whole system, i.e. of a polycrystal, changes due to interacting grains and the elastic energy stored in them. The authors propose a method for calculating elastic moduli and thermal expansion coefficients while accounting for the substructural inhomogeneity of the material by minimizing the elastic energy of the textured material. The efficiency of this method is demonstrated on specimens of a semi-finished channel pipe made of Zr – 2.5% Nb alloy.This research was funded by the Ministry of Science and Higher Education of the Russian Federation; Agreement No. 075-15-2021-1352.