Y. Kawanami et al., ANALYSIS OF KINETICS OF DIFFUSION-INDUCED RECRYSTALLIZATION IN FE PHASE OF CU FE/CU DIFFUSION COUPLES/, ISIJ international, 37(9), 1997, pp. 921-927
Combining the columnar-geometry and boundary-diffusion model by Li and
Hillert with the energy balance model by Kajihara and Gust, a new kin
etic equation has been obtained to describe the growth rate of the all
oyed region due to diffusion induced recrystallization (DIR) in a solu
tion phase of binary systems. The equation has been utilized to analyz
e quantitatively the kinetics of DIR in the Fe(Cu) system observed by
the present authors using Cu/(Fe-4.8mass%)/Cu diffusion couples. The n
otation Fe(Cu) means that Cu atoms diffuse into a pure Fe or binary Fe
-Cu phase. The observations indicate that the thickness I of the DIR r
egion formed in the Fe phase from each interface increases with increa
sing annealing time t according to the relationship l=1.58 x 10(-6)(t/
t(0))(0.29) at 1 323 K. Here, l and t are measured in m and s, respect
ively, and t(0) is unit time, 1 s. Using the mobility M as the fitting
parameter of the kinetic equation, we have obtained the value of M=8.
64 x 10(-13) m(4)/J s and the relationship 1=1.08 x 10(-6)(t/t(0))(0.3
3) on the basis of the observations. Through the analysis, it is concl
uded that l increases in proportion to root t for DIR in a pure metal
whereas I increases proportionately with (3) root t for DIR in a solut
ion phase even with a low solute concentration.