CONTACT INITIAL BOUNDARY-VALUE PROBLEM OF THE DIFFUSION OF ADMIXTURE PARTICLES IN A TWO-PHASE STOCHASTICALLY INHOMOGENEOUS STRATIFIED STRIP

摘要

This paper is devoted to the mathematical modeling of admixture diffusion in a two-phase stratified strip of randomly inhomogeneous structure with regard for the conditions of nonideal mass contact on the interfaces. We formulate an equivalent integro-differential equation and construct its solution in the form of a Neumann integral series. We perform averaging of the solution obtained over the ensemble of phase configurations with a uniform distribution function. We also determine the influence of material characteristics on the behavior and level of averaged field of concentration of admixture particles.