Cross slip problem in f.c.c crystal

In summary, the conversation discusses the concept of cross slip in an f.c.c crystal and the necessary orientation of dislocations in order for cross slip to occur. It is noted that dislocations in screw orientation are able to cross slip and that the dislocations must be oriented in a specific direction on the (11-1) plane and the (a/2)[101](11-1) slip system in order to be in pure edge orientation.
  • #1
rubee
1
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Homework Statement


Because the book gives me little information about the cross slip. So I can't handle the basic problem below. I appreciate that you can give me some hints or suggestion.
An f.c.c crystal is deforming by motion of disslocations on the (a/2)[101](11-1) (I use minus instead of bar) slip system.
Q1: In order for the dislocations to cross slip, what would be their orientation on the (11-1) plane?
Q2: Onto what plane could these dislocations cross slip?
Q3: What would the orientation of the dislocations on the (a/2)[101](11-1) slip system have to be in order for the dislocations to be in pure edge orientation?
(Sorry about the other simplified symbols instead because of the imput problem)

Homework Equations





The Attempt at a Solution


Since dislocations can only slip on planes containing both tangent vector t and Burgers vector b, only dislocations in screw orientation can cross slip.
 
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  • #2
Q1: The dislocations must be in screw orientation on the (11-1) plane. Q2: The dislocations can cross slip onto the (1-1-1) plane. Q3: To be in pure edge orientation, the dislocations must be oriented along the [100] direction on the (a/2)[101](11-1) slip system.
 
  • #3

On the (11-1) plane, the dislocations would be in pure screw orientation.
They could cross slip onto the (a/2)[101](11-1) slip system, which would require a change in the Burgers vector from b to a/2[101].
To be in pure edge orientation, the dislocations would need to be perpendicular to the slip direction, so on the (a/2)[101](11-1) slip system, they would need to be in the <101> direction.
 

What is cross slip problem in f.c.c crystal?

Cross slip problem in f.c.c crystal refers to the phenomenon where dislocations in a face-centered cubic (f.c.c) crystal cannot easily move between different slip planes due to their close-packed structure.

Why is cross slip important in f.c.c crystals?

Cross slip is important in f.c.c crystals because it affects the plastic deformation and mechanical properties of the material. It can also lead to dislocation pile-ups and strain hardening, which can impact the material's strength and ductility.

What causes cross slip in f.c.c crystals?

Cross slip in f.c.c crystals is caused by the close-packed structure of the crystal, where the slip planes are closely spaced and difficult to cross. This makes it harder for dislocations to move between planes and results in cross slip.

How does cross slip affect the mechanical properties of f.c.c crystals?

Cross slip can have a significant impact on the mechanical properties of f.c.c crystals. It can lead to strain hardening, which increases the material's strength but decreases its ductility. Cross slip can also affect the distribution of dislocations and lead to dislocation pile-ups, which can weaken the material.

What are some methods to mitigate the cross slip problem in f.c.c crystals?

Some methods to mitigate the cross slip problem in f.c.c crystals include introducing alloying elements or impurities to create localized strain fields, using grain boundaries to block dislocations, and applying mechanical stress or heat treatment to promote cross slip. Additionally, changing the crystal structure to a non-close-packed arrangement, such as a body-centered cubic (b.c.c) structure, can also reduce the occurrence of cross slip.

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