Dynamics of rearrangement of a solid under physicochemical actions

Abstract

In this study, the interrelation of the phasestruc� tural variations, heat and mass transfer, and ther� moelasticity is taken into account. The equations are derived here from the general laws of mechanics. The solutions allowed studying the processes from impu� rity entry to possible degradation of the elastic proper� ties of a material. The conditions are analyzed under which impurity accumulation causes a folded local σ- e diagram. It is shown, however, that such a shape of the σ-e diagrams does not always imply a phase tran� sition. We will consider an elastic skeleton, for example, a lattice of a metal, and an impurity penetrating from the outside. During diffusion, a part of the impurity is bonded by the skeleton. Since the laws of motion of the bonded impurity and the skeleton coincide, we consider them a unit component 1. Name a moving part of the impurity component 2. We will describe it within the model of an ideal liquid. Both components can be in any vicinity of a point of the solid. Between the neighboring points of different components, the exchange can occur, i.e., embedding in the bond, binding by the skeleton, or release. Coordinates of such points in the continual writing coincide. The equations of motion, mass balance between the components, and thermal conductivity in the component 1 are