Estimation of the structural ρ parameter for a number of structural materials

Abstract

In modern conditions, when improving methods for calculating real structure materials and products made of them, it is necessary to take into account their physical and mechanical properties and microstructure as more adequately and thoroughly as possible. All physical materials are characterized by a certain structural heterogeneity (defects and irregularities in the crystal lattice, microcracks, pores, microinclusions, scratches, marks, etc.) The microinhomogeneity of the material structure can be accounted for by a simple and quite effective theory of M. Y. Leonov and K. M. Rusynko [1–3]. According to this theory, a body is called macrohomogeneous in a certain area if mechanical properties of any elementary volume conditionally cut out of the specified area are the same. According to this model, a solid is considered as a continuous medium, around each point of which a minimum volume V0 can be identified that still has (based on statistical data) mechanical properties determined in conventional studies of macro-bodies. For this volume V0, a sphere of radius ρ is chosen, which is taken as a structural parameter of the material. The paper presents a simplified method for determining the structural parameter ρ for a number of structural materials.