I. Shimizu, THE NONEQUILIBRIUM THERMODYNAMICS OF INTRACRYSTALLINE DIFFUSION UNDERNONHYDROSTATIC STRESS, Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties, 75(5), 1997, pp. 1221-1235
Intracrystalline diffusion induced by non-hydrostatic stress is formul
ated on the basis of the non-equilibrium thermodynamics of deformable
solids. In the case of ideal solution, the chemical potential <(mu)ove
r tilde> of the diffusing component a is expressed as <(mu)over tilde>
(a) = -sigma(ij)nu(epsilon(ij)(a) + delta(ij)/3) + f(a), where nu is t
he molar volume, sigma(ij) is the stress tensor, f is the molar Helmho
ltz free energy, delta(ij) is the Kronecker delta, epsilon(ij) represe
nts the strain tensor of the crystal lattice, and the superscript a de
notes the partial molar values of component a. The driving force of in
tracrystaline diffusion of component a is approximately -nu(partial de
rivative epsilon(ij)/partial derivative C-a)del sigma(ij). The lattice
diffusion creep is reinterpreted in terms of <(mu)over tilde>.