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Dislocation
Reactions in FCC Crystal Structures
· In
Face Centered Cubic (fcc)
crystals, dislocation reactions can occur that make important contributions
to work
hardening. These reactions involve partial
dislocations rather than the unit
dislocations that have so far been considered.
· The
elastic energy per unit length for a dislocation in a material with a shear
modulus, G, is G b2.
Energy considerations favor the formation of dislocations with the smallest
possible Burgers
vector.
· For
the fcc
lattice, the unit dislocation have Burgers vectors given by:
b=
(a/2)<110> , where a is the length of the
side of the cubic unit
cell.
· For
the cubic FCC structure the magnitude of the Burgers vector is given in
terms of the Miller index (h k l) of its direction:
b
= (a/2) (h2+ k2+l2)0.5 = (a
/ 20.5 )
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