Average radius of the particle at GB |
|
1.0 |
μm |
- |
Min and Raj
18
|
Average size of grains |
d |
40 |
μm |
- |
Min and Raj
18
|
Shear modulus |
G |
7.6×1010
|
Pa |
- |
Min and
Raj 18
|
Poisson’s ratio |
v |
0.31 |
- |
- |
Min and Raj
18
|
Atom volume |
Ω |
1.21×10-29
|
m3
|
- |
Min and Raj 18
|
Area fraction of the particles |
fb
|
0.2 |
- |
- |
Min and Raj 18
|
Shape factor related to the cavity volume |
Fv
|
0.1585 |
- |
- |
Raj and Ashby 14
|
Free surface formation energy |
γ |
0.80 |
J.m-2
|
- |
Mortimer and Nicholas 31
|
Boltzmann constant |
k |
1.3806×10-23
|
J.K-1
|
- |
Universal constant |
Gas constant |
R |
8.314 |
J.mole-1.K-1
|
- |
Universal
constant |
GB diffusion activation energy |
Qc
|
167×103
|
J.mole-1
|
- |
Frost and
Ashby 30
|
GB thickness multiplied by its self-diffusion coefficient |
δDB
|
2.0×10-13exp(-Qc/RT) |
m3.s-1
|
- |
Frost and Ashby
30
|
Free surface diffusion coefficient*
|
DS
|
9.0×10-7exp(-167×103/RT) |
m2.s-1
|
500-600 |
Not available in
literature |
Creep exponent |
n |
11.83 |
- |
500-600 |
Chen, Flewitt
29
|
Pre-exponential factor |
1/ƞp
|
2.199×10-32
|
h-1.MPa-n
|
500 |
Chen, Flewitt
29
|
|
|
8.754×10-32
|
|
525 |
|
|
|
6.489×10-31
|
|
550 |
|
|
|
3.035×10-30
|
|
575 |
|
|
|
2.005×10-29
|
|
600 |
|