PHASE-TRANSFORMATION KINETICS IN D-DIMENSIONAL GRAINS-CONTAINING SYSTEMS - DIFFUSION-TYPE MODEL

An analytical approach to the phase transformation in d-dimensional gr ains-containing complex systems is offered. It is based on considering the mechanism of surface material exchange among neighbouring grains as the so-called state-dependent diffusion process, where the diffusio n function is related to the magnitude of the grain boundary. The appr oach proposed deals with the kinetics of that ensemble under circumsta nces of a volume increase of the new phase or microstructure. Probabil istic characteristics of the process are derived and analyzed. A compa rison with 2D modelling of similar kind is presented for the 3D case, and some possible practical realizations of the situation under study are discussed.