Segregation kinetics
C t C 0 Ceq C 0
1
exp
4Dt
2 2
d
2
erfc
4Dt
22d 2
2 Ceq Cg
erfc(x) = 1 – erf(x)
2020/4/1
(McLean, 1957)
Equilibrium grain boundary segregation (3)
e.g., in structural materials, such as steel and Ni alloys Segregation of detrimental elements such as S, P, Sn, and Sb – decreasing the grain boundary cohesion – grain boundary weakening Segregation of beneficial elements such as B, C and Be – increasing the grain boundary cohesion – grain boundary strenthening
Gi
RT ,
i I, M
GI GI0 IM CMeq CMg
(Guttmann, 1975)
GM GM0 IM CIg
exp
Gi
RT ,
i I, M
2020/4/1
(Seah, 1977)
Equilibrium grain boundary segregation (2)
• Stress-induced non-equilibrium grain boundary
segregation – Introduction, experiment, results and discussion,