
Cross slip is the process by which a screw
dislocation moves from one
slip plane to another due to local
stresses. It allows non-planar movement of screw dislocations. Non-planar movement of edge dislocations is achieved through
climb.
Since the
Burgers vector of a perfect screw dislocation is parallel to the dislocation line, it has an infinite number of possible slip planes (planes containing the dislocation line and the Burgers vector), unlike an edge or mixed dislocation, which has a unique slip plane. Therefore, a screw dislocation can glide or
slip along any plane that contains its Burgers vector. During cross slip, the screw dislocation switches from gliding along one slip plane to gliding along a different slip plane, called the cross-slip plane. The cross slip of moving dislocations can be seen by
transmission electron microscopy.
Mechanisms
The possible cross-slip planes are determined by the
crystal system. In body centered
cubic
Cubic may refer to:
Science and mathematics
* Cube (algebra), "cubic" measurement
* Cube, a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex
** Cubic crystal system, a crystal system w ...
(BCC) metals, a screw dislocation with b=0.5<11> can glide on planes or planes. In face centered cubic (FCC) metals, screw dislocations can cross-slip from one type plane to another. However, in FCC metals, pure screw dislocations dissociate into two mixed
partial dislocations on a plane, and the extended screw dislocation can only glide on the plane containing the two partial dislocations.
The Friedel-Escaig mechanism and the Fleischer mechanism have been proposed to explain the cross-slip of partial dislocations in FCC metals.
In the Friedel-Escaig mechanism, the two partial dislocations constrict to a point, forming a perfect screw dislocation on their original glide plane, and then re-dissociate on the cross-slip plane creating two different partial dislocations. Shear
stresses then may drive the dislocation to extend and move onto the cross-slip plane. Atomic simulations have confirmed the Friedel-Escaig mechanism.
Alternatively, in the Fleischer mechanism, one partial dislocation is emitted onto the cross-slip plane, and then the two partial dislocations constrict on the cross-slip plane, creating a stair-rod dislocation. Then the other partial dislocation combines with the stair-rod dislocation so that both partial dislocations are on the cross-slip plane. Since the stair rod and the new partial dislocations are high energy, this mechanism would require very high stresses.
Role in plasticity
Cross-slip is important to
plasticity
Plasticity may refer to:
Science
* Plasticity (physics), in engineering and physics, the propensity of a solid material to undergo permanent deformation under load
* Neuroplasticity, in neuroscience, how entire brain structures, and the brain it ...
, since it allows additional slip planes to become active and allows screw dislocations to bypass obstacles. Screw dislocations can move around obstacles in their primary slip plane (the plane with the highest resolved shear stress). A screw dislocation may glide onto a different slip plane until it has passed the obstacle, and then can return to the primary slip plane.
Screw dislocations can then avoid obstacles through conservative motion (without requiring atomic diffusion), unlike edge dislocations which must climb to move around obstacles. Therefore, some methods of increasing the
yield stress of a material such as
solid solution strengthening are less effective because due to cross slip they do not block the motion of screw dislocations.
At high strain rates (during stage II
work hardening), discrete dislocation dynamics (DD) simulations have suggested that cross-slip promotes the generation of dislocations and increase dislocation velocity in a way that is dependent on strain rate, which has the effect of decreasing
flow stress
In materials science the flow stress, typically denoted as Yf (or \sigma_\text), is defined as the instantaneous value of stress required to continue plastically deforming a material - to keep it flowing. It is most commonly, though not exclusivel ...
and work hardening.
[{{Cite journal , last1=Wang , first1=Z. Q. , last2=Beyerlein , first2=I. J. , last3=LeSar , first3=R. , date=2007-09-01 , title=The importance of cross-slip in high-rate deformation , journal=Modelling and Simulation in Materials Science and Engineering , volume=15 , issue=6 , pages=675–690 , doi=10.1088/0965-0393/15/6/006 , issn=0965-0393 , bibcode=2007MSMSE..15..675W, s2cid=136757753 ]
Cross slip also plays an important role in
dynamic recovery
Dynamics (from Greek δυναμικός ''dynamikos'' "powerful", from δύναμις ''dynamis'' " power") or dynamic may refer to:
Physics and engineering
* Dynamics (mechanics)
** Aerodynamics, the study of the motion of air
** Analytical d ...
(stage III work hardening) by promoting annihilation of screw dislocations and then movement of screw dislocations into a lower energy arrangement.
See also
*
Slip
*
Plastic deformation
*
Miller indices
Miller indices form a notation system in crystallography for lattice planes in crystal (Bravais) lattices.
In particular, a family of lattice planes of a given (direct) Bravais lattice is determined by three integers ''h'', ''k'', and ''� ...
References
Materials science
Crystallographic defects