Physical equation of compacted elastic-viscous medium

Experienced information about the rheological properties of materials used in the manufacture of abrasive mixtures for the subsequent technology of manufacturing wheel blanks by rolling, pressing and punching made it possible to classify it as a heterogeneous compacted elastoviscous, characterized by deformation and rate hardening, a significant proportion of elastic deformation, elastic aftereffect and relaxation phenomena. This, in turn, made it possible to approach the derivation of the defining physical equation. The conclusion that defines the physical equation in the entirety of the parameters included in it is a difficult task. At the same time, the creation of an exact theory of physical equations is one of the main problems. There are various approaches to the construction of defining physical equations. Some of them claim to be a deep study of the essence of phenomena, lead to rather complex constitutive physical equations, and are difficult to use in applied problems. The article proposes a variant of constructing the defining physical equation, which is based on plastometric curves, their approximation by polynomials, a step-by-step procedure for processing experimental data, the choice of a mechanical analogue and the derivation of a physical equation in a differential form for a small time interval, the determination of the constants of a physical equation by the least squares method, and as a result, obtaining the dependence of the modulus of elasticity and the coefficient of viscosity on the deformation conditions. The presence of a defining physical equation makes it possible to proceed to the solution of applied problems.