Face-centered cubic (cF)#

Atom arrangement#

Figure 1: Face-centered cubic lattice structure.

Slip systems#

index
slip direction
plane normal
\(1\)\([ 0 1 \bar 1]\)\(( 1 1 1)\)
\(2\)\([\bar 1 0 1]\)\(( 1 1 1)\)
\(3\)\([ 1 \bar 1 0]\)\(( 1 1 1)\)
\(4\)\([ 0 \bar 1 \bar 1]\)\((\bar 1 \bar 1 1)\)
\(5\)\([ 1 0 1]\)\((\bar 1 \bar 1 1)\)
\(6\)\([\bar 1 1 0]\)\((\bar 1 \bar 1 1)\)
\(7\)\([ 0 \bar 1 1]\)\(( 1 \bar 1 \bar 1)\)
\(8\)\([\bar 1 0 \bar 1]\)\(( 1 \bar 1 \bar 1)\)
\(9\)\([ 1 1 0]\)\(( 1 \bar 1 \bar 1)\)
\(10\)\([ 0 1 1]\)\((\bar 1 1 \bar 1)\)
\(11\)\([ 1 0 \bar 1]\)\((\bar 1 1 \bar 1)\)
\(12\)\([\bar 1 \bar 1 0]\)\((\bar 1 1 \bar 1)\)
{111} fcc slip system

Figure 2: \(\{1 1 1\}\) octahedral slip system#

index
slip direction
plane normal
\(13\)\([ 1 1 0]\)\((1 \bar 1 0)\)
\(14\)\([ 1 \bar 1 0]\)\((1 1 0)\)
\(15\)\([ 1 0 1]\)\((1 0 \bar 1)\)
\(16\)\([ 1 0 \bar 1]\)\((1 0 1)\)
\(17\)\([ 0 1 1]\)\((0 1 \bar 1)\)
\(18\)\([ 0 1 \bar 1]\)\((0 1 1)\)
{110} fcc slip system

Figure 3: \(\{1 1 0\}\) non-octahedral slip system#

Twin systems#

index
slip direction
plane normal
\(1\)\([\bar 2 1 1]\)\(( 1 1 1)\)
\(2\)\([ 1 \bar 2 1]\)\(( 1 1 1)\)
\(3\)\([ 1 1 \bar 2]\)\(( 1 1 1)\)
\(4\)\([ 2 \bar 1 1]\)\((\bar 1 \bar 1 1)\)
\(5\)\([\bar 1 2 1]\)\((\bar 1 \bar 1 1)\)
\(6\)\([\bar 1 \bar 1 \bar 2]\)\((\bar 1 \bar 1 1)\)
\(7\)\([\bar 2 \bar 1 \bar 1]\)\(( 1 \bar 1 \bar 1)\)
\(8\)\([ 1 2 \bar 1]\)\(( 1 \bar 1 \bar 1)\)
\(9\)\([ 1 \bar 1 2]\)\(( 1 \bar 1 \bar 1)\)
\(10\)\([ 2 1 \bar 1]\)\((\bar 1 1 \bar 1)\)
\(11\)\([\bar 1 \bar 2 \bar 1]\)\((\bar 1 1 \bar 1)\)
\(12\)\([\bar 1 1 2]\)\((\bar 1 1 \bar 1)\)
{111} fcc twin system

Figure 3: \(\{1 1 1\}\) twin system#

Cleavage systems#

index
slip direction
plane normal
\(1\)\([010]\)\((100)\)
\(2\)\([001]\)\((010)\)
\(3\)\([100]\)\((001)\)

Interaction Matrices#

Slip-Slip#

index
label
description
\(1\)\(\alpha_0^\prime\)self interaction
\(2\)\(\alpha_\text{copla}\)coplanar interaction
\(3\)\(\alpha_\text{coli}\)collinear interaction
\(4\)\(\alpha_1\)Hirth lock
\(5\)\(\alpha_2\)glissile junction
\(6\)\(\alpha_2^\ast\)glissile junction
\(7\)\(\alpha_3\)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.