IRREVERSIBLE STRAINS IN A HIGH-VISCOSITY, RHEOLOGICALLY HETEROGENEOUS MEDIUM UNDER THE EFFECT OF GRAVITATIONAL FORCES (STATING THE PROBLEM AND A SOLUTION ALGORITHM)

Abstract

Mathematical representation of the dynamics of a highly viscous, rheologically heterogeneous, incompressible medium affected by gravity is considered. The solution is defined by reducing the original system of differential equations of motion to their integral form, and subsequently solving the single integral equation. The effectiveness of the algorithm is illustrated by calculating some model examples.