Body-centered cubic (cI)#
Atom arrangement#
Figure 1: Body-centered cubic lattice structure
Slip systems#
index |
slip direction |
plane normal |
|---|---|---|
1 |
\([ 1 \bar 1 1]\) |
\(( 0 1 1)\) |
2 |
\([\bar 1 \bar 1 1]\) |
\(( 0 1 1)\) |
3 |
\([ 1 1 1]\) |
\(( 0 \bar 1 1)\) |
4 |
\([\bar 1 1 1]\) |
\(( 0 \bar 1 1)\) |
5 |
\([\bar 1 1 1]\) |
\(( 1 0 1)\) |
6 |
\([\bar 1 \bar 1 1]\) |
\(( 1 0 1)\) |
7 |
\([ 1 1 1]\) |
\((\bar 1 0 1)\) |
8 |
\([ 1 \bar 1 1]\) |
\((\bar 1 0 1)\) |
9 |
\([\bar 1 1 1]\) |
\(( 1 1 0)\) |
10 |
\([\bar 1 1 \bar 1]\) |
\(( 1 1 0)\) |
11 |
\([ 1 1 1]\) |
\((\bar 1 1 0)\) |
12 |
\([ 1 1 \bar 1 ]\) |
\((\bar 1 1 0)\) |
Figure 2: \(\{1 1 0\}\) slip system
index |
slip direction |
plane normal |
|---|---|---|
13 |
\([\bar 1 1 1]\) |
\(( 2 1 1)\) |
14 |
\([ 1 1 1]\) |
\((\bar 2 1 1)\) |
15 |
\([ 1 1 \bar 1]\) |
\(( 2 \bar 1 1)\) |
16 |
\([ 1 \bar 1 1]\) |
\(( 2 1 \bar 1)\) |
17 |
\([ 1 \bar 1 1]\) |
\(( 1 2 1)\) |
18 |
\([ 1 1 \bar 1]\) |
\((\bar 1 2 1)\) |
19 |
\([ 1 1 1]\) |
\(( 1 \bar 2 1)\) |
20 |
\([\bar 1 1 1]\) |
\(( 1 2 \bar 1)\) |
21 |
\([ 1 1 \bar 1]\) |
\(( 1 1 2)\) |
22 |
\([ 1 \bar 1 1]\) |
\((\bar 1 1 2)\) |
23 |
\([\bar 1 1 1]\) |
\(( 1 \bar 1 2)\) |
24 |
\([ 1 1 1]\) |
\(( 1 1 \bar 2)\) |
Figure 3: \(\{1 1 2\}\) slip system
index |
slip direction |
plane normal |
|---|---|---|
25 |
\([ 1 1 \bar 1]\) |
\(( 1 2 3)\) |
26 |
\([ 1 \bar 1 1]\) |
\((\bar 1 2 3)\) |
27 |
\([\bar 1 1 1]\) |
\(( 1 \bar 2 3)\) |
28 |
\([ 1 1 1]\) |
\(( 1 2 \bar 3)\) |
29 |
\([ 1 \bar 1 1]\) |
\(( 1 3 2)\) |
30 |
\([ 1 1 \bar 1]\) |
\((\bar 1 3 2)\) |
31 |
\([ 1 1 1]\) |
\(( 1 \bar 3 2)\) |
32 |
\([\bar 1 1 1]\) |
\(( 1 3 \bar 2)\) |
33 |
\([ 1 1 \bar 1]\) |
\(( 2 1 3)\) |
34 |
\([ 1 \bar 1 1]\) |
\((\bar 2 1 3)\) |
35 |
\([\bar 1 1 1]\) |
\(( 2 \bar 1 3)\) |
36 |
\([ 1 1 1]\) |
\(( 2 1 \bar 3)\) |
37 |
\([ 1 \bar 1 1]\) |
\(( 2 3 1)\) |
38 |
\([ 1 1 \bar 1]\) |
\((\bar 2 3 1)\) |
39 |
\([ 1 1 1]\) |
\(( 2 \bar 3 1)\) |
40 |
\([\bar 1 1 1]\) |
\(( 2 3 \bar 1)\) |
41 |
\([\bar 1 1 1]\) |
\(( 3 1 2)\) |
42 |
\([ 1 1 1]\) |
\((\bar 3 1 2)\) |
43 |
\([ 1 1 \bar 1]\) |
\(( 3 \bar 1 2)\) |
44 |
\([ 1 \bar 1 1]\) |
\(( 3 1 \bar 2)\) |
45 |
\([\bar 1 1 1]\) |
\(( 3 2 1)\) |
46 |
\([ 1 1 1]\) |
\((\bar 3 2 1)\) |
47 |
\([ 1 1 \bar 1]\) |
\(( 3 \bar 2 1)\) |
48 |
\([ 1 \bar 1 1]\) |
\(( 3 2 \bar 1)\) |
Twin systems#
index |
slip direction |
plane normal |
|---|---|---|
1 |
\([\bar 1 1 1]\) |
\(( 2 1 1)\) |
2 |
\([ 1 1 1]\) |
\((\bar 2 1 1)\) |
3 |
\([ 1 1 \bar 1]\) |
\(( 2 \bar 1 1)\) |
4 |
\([ 1 \bar 1 1]\) |
\(( 2 1 \bar 1)\) |
5 |
\([ 1 \bar 1 1]\) |
\(( 1 2 1)\) |
6 |
\([ 1 1 \bar 1]\) |
\((\bar 1 2 1)\) |
7 |
\([ 1 1 1]\) |
\(( 1 \bar 2 1)\) |
8 |
\([\bar 1 1 1]\) |
\(( 1 2 \bar 1)\) |
9 |
\([ 1 1 \bar 1]\) |
\(( 1 1 2)\) |
10 |
\([ 1 \bar 1 1]\) |
\((\bar 1 1 2)\) |
11 |
\([\bar 1 1 1]\) |
\(( 1 \bar 1 2)\) |
12 |
\([ 1 1 1]\) |
\(( 1 1 \bar 2)\) |
Interaction Matrices#
Slip-Slip#
index |
label |
description |
|---|---|---|
1 |
\(\alpha_0^\prime\) |
\(\text{self interaction}\) |
2 |
\(\alpha_1\) |
\(\text{coli}_{90^\circ}\) |
3 |
\(\alpha_2\) |
\(\text{coplanar}\) |
4 |
\(\alpha_3\) |
|
5 |
\(\alpha_3^\ast\) |
|
6 |
\(\alpha_4\) |
|
7 |
\(\alpha_5\) |
|
8 |
\(\alpha_6\) |
\(\text{coli}_{60^\circ}\) |
9 |
\(\alpha_7\) |
\(\text{coli}_{30^\circ}\) |
10 |
\(\alpha_8\) |
|
11 |
\(\alpha_8^\ast\) |
|
12 |
\(\alpha_9\) |
|
13 |
\(\alpha_9^\ast\) |
|
14 |
\(\alpha_{10}\) |
|
15 |
\(\alpha_{10}^\ast\) |
|
16 |
\(\alpha_{11}\) |
|
17 |
\(\alpha_{11}^\ast\) |
|
18 |
\(\alpha_{12}\) |
|
19 |
\(\alpha_{12}^\ast\) |
|
20 |
\(\alpha_{13}\) |
|
21 |
\(\alpha_{14}\) |
|
22 |
\(\alpha_{14}^\ast\) |
|
23 |
\(\alpha_{15}\) |
|
24 |
\(\alpha_{16}\) |
|
25 |
\(-\) |
|
26 |
\(-\) |
|
27 |
\(-\) |
|
28 |
\(-\) |
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.