On effective diffusivity of periodic non‐homogeneous solid media
Yu. M. Mishin · physica status solidi (b) · 1992
Abstract Diffusion in a non‐homogeneous medium with periodic spatial variations of diffusivity and driving force is analyzed in detail. After a time t ≪ τ (τ being time to attain local quasi‐stationarity) diffusion proceeds like in a homogeneous medium with an effective diffusivity D̃ij. Correct procedure of D̃ij calculation includes solution of a stationary diffusion problem in a periodic unit cell with special boundary conditions. Methods of exact calculation and estimation of D̃ij are discussed, some simple estimates are presented. Possible applications of the theory are sketched.