Face-Centered Cubic (cF)#
Stiffness Matrix#
Atom Arrangement#
Figure 1: Face-centered cubic lattice structure
Slip Systems#
index |
slip direction |
plane normal |
|---|---|---|
1 |
\([ 0 1 \bar 1]\) |
\(( 1 1 1)\) |
2 |
\([\bar 1 0 1]\) |
\(( 1 1 1)\) |
3 |
\([ 1 \bar 1 0]\) |
\(( 1 1 1)\) |
4 |
\([ 0 \bar 1 \bar 1]\) |
\((\bar 1 \bar 1 1)\) |
5 |
\([ 1 0 1]\) |
\((\bar 1 \bar 1 1)\) |
6 |
\([\bar 1 1 0]\) |
\((\bar 1 \bar 1 1)\) |
7 |
\([ 0 \bar 1 1]\) |
\(( 1 \bar 1 \bar 1)\) |
8 |
\([\bar 1 0 \bar 1]\) |
\(( 1 \bar 1 \bar 1)\) |
9 |
\([ 1 1 0]\) |
\(( 1 \bar 1 \bar 1)\) |
10 |
\([ 0 1 1]\) |
\((\bar 1 1 \bar 1)\) |
11 |
\([ 1 0 \bar 1]\) |
\((\bar 1 1 \bar 1)\) |
12 |
\([\bar 1 \bar 1 0]\) |
\((\bar 1 1 \bar 1)\) |
Figure 2: \(\{1 1 1\}\) octahedral slip system
index |
slip direction |
plane normal |
|---|---|---|
13 |
\([ 1 1 0]\) |
\((1 \bar 1 0)\) |
14 |
\([ 1 \bar 1 0]\) |
\((1 1 0)\) |
15 |
\([ 1 0 1]\) |
\((1 0 \bar 1)\) |
16 |
\([ 1 0 \bar 1]\) |
\((1 0 1)\) |
17 |
\([ 0 1 1]\) |
\((0 1 \bar 1)\) |
18 |
\([ 0 1 \bar 1]\) |
\((0 1 1)\) |
Figure 3: \(\{1 1 0\}\) non-octahedral slip system
Twin Systems#
index |
slip direction |
plane normal |
|---|---|---|
1 |
\([\bar 2 1 1]\) |
\(( 1 1 1)\) |
2 |
\([ 1 \bar 2 1]\) |
\(( 1 1 1)\) |
3 |
\([ 1 1 \bar 2]\) |
\(( 1 1 1)\) |
4 |
\([ 2 \bar 1 1]\) |
\((\bar 1 \bar 1 1)\) |
5 |
\([\bar 1 2 1]\) |
\((\bar 1 \bar 1 1)\) |
6 |
\([\bar 1 \bar 1 \bar 2]\) |
\((\bar 1 \bar 1 1)\) |
7 |
\([\bar 2 \bar 1 \bar 1]\) |
\(( 1 \bar 1 \bar 1)\) |
8 |
\([ 1 2 \bar 1]\) |
\(( 1 \bar 1 \bar 1)\) |
9 |
\([ 1 \bar 1 2]\) |
\(( 1 \bar 1 \bar 1)\) |
10 |
\([ 2 1 \bar 1]\) |
\((\bar 1 1 \bar 1)\) |
11 |
\([\bar 1 \bar 2 \bar 1]\) |
\((\bar 1 1 \bar 1)\) |
12 |
\([\bar 1 1 2]\) |
\((\bar 1 1 \bar 1)\) |
.svg)
Figure 4: \(\{1 1 1\}\) twin system
Cleavage Systems#
index |
slip direction |
plane normal |
|---|---|---|
1 |
\([010]\) |
\((100)\) |
2 |
\([001]\) |
\((010)\) |
3 |
\([100]\) |
\((001)\) |
.svg)
Figure 5: \(\{1 0 0\}\) cleavage system
Interaction Matrices#
Slip-Slip#
index |
label |
description |
|---|---|---|
1 |
\(h_0^\prime\) |
self interaction |
2 |
\(h_\text{copla}\) |
coplanar interaction |
3 |
\(h_\text{coli}\) |
collinear interaction |
4 |
\(h_1\) |
Hirth lock |
5 |
\(h_2\) |
glissile junction |
6 |
\(h_2^\ast\) |
glissile junction |
7 |
\(h_3\) |
Lomer lock |
8 |
\(-\) |
|
9 |
\(-\) |
|
10 |
\(-\) |
|
11 |
\(-\) |
|
12 |
\(-\) |
|
13 |
\(-\) |
R. Madec and L.P. Kubin. Dislocation strengthening in FCC metals and in BCC metals at high temperatures Acta Materialia, 126:166-173, 2017. doi:10.1016/j.actamat.2016.12.040.