Rheological principles in mathematical models of grinding process

The classical probability-kinematic approach to grinding process modeling of abrasive wheel and workpiece is elaborated. The rheological principles of interaction allow considering fundamental mechanical and physical laws of surface shaping processes when grinding with abrasive particles of slime in technological liquid. It is shown that considering the rheological equations of deformation and tension tensors relations allows to eliminate the mechanical indeterminacy of problem and carry out calculations on the basis of integrated solving of algebraic kinematic equations, integral probability relations and differential rheological equations of dynamics.