What is the significance of Burgers vector and Frank Read source in dislocation?

The Frank–Read source is a mechanism based on dislocation multiplication in a slip plane under shear stress. , where b is the Burgers vector of the dislocation and x is the distance between the pinning sites A and B, is exerted on the dislocation line as a result of the shear stress.

What is Frank’s rule?

By Frank’s rule, it is energetically favorable for the screw dislocation to dissociate into two partial dislocations in the fcc crystal, forming a local constriction. The screw dislocation, along with the local constriction, continues to glide in the (111) slip plane.

How is Frank Reed source related to dislocations?

Frank Reed Source A Frank-Reed source permits the dislocation multiplication required for slip in crystalline solids. The sequence of source operation is shown and results in the shedding of a dislocation loop and regeneration of a dislocation that can repeat the sequence.

What is the role of dislocation in plastic deformation?

Dislocations play an essential role in the plastic deformations of crystalline materials. They prevent the synchronized breakage of bonds between atoms in materials and cause gradual deformation by making the one-by-one breakage of single bonds possible.

What is Frank dislocation?

[′fränk ¦pär·shəl ‚dis·lō′kā·shən] (crystallography) A partial dislocation whose Burger’s vector is not parallel to the fault plane, so that it can only diffuse and not glide, in contrast to a Schockley partial dislocation.

What are Frank loops?

The faulted loop (also called Frank loop) is most easily visualized as either insertion or removal of a layer of atoms, creating a corresponding extrinsic or intrinsic stacking fault associated with condensation of a planar monolayer of vacancies and SIAs, respectively.

Why can cross slip occur for screw dislocations but not edge dislocations?

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.

Why are dislocations necessary for explaining the plasticity typically seen for crystalline materials?

Why are dislocations necessary for explaining the plasticity typically seen for crystalline materials? The theoretical stress needed for plastic deformation is much higher (usually by orders of magnitude) than the plastic deformation stress actually measured in common materials.

Why are dislocations important to most metallic structural materials?

When a metal is bent or shaped, dislocations are generated and move. As the number of dislocations in the crystal increases, they will get tangled or pinned and will not be able to move. This will strengthen the metal, making it harder to deform.

How Burgers vector is important in the movement of dislocations?

In screw dislocations, they are parallel. The Burgers vector is significant in determining the yield strength of a material by affecting solute hardening, precipitation hardening and work hardening. The Burgers vector plays an important role in determining the direction of dislocation line.

What do you understand by Burgers vector in line defects?

Burgers Vector, b A circuit is made around a dislocation line in a clockwise direction (top picture) with each step of the circuit connecting lattice sites that are fully coordinated. This circuit is then transferred to a perfect lattice of the same type.

What is a Frank Read source in Materials Science?

(October 2009) In materials science, a Frank–Read source is a mechanism explaining the generation of multiple dislocations in specific well-spaced slip planes in crystals when they are deformed. When a crystal is deformed, in order for slip to occur, dislocations must be generated in the material.

What is a Frank Read source in DDP?

In DDP, Frank–Read sources represent out-of-plane pinned dislocation segments. In the same way, the Frank–Read source segment’s length cannot be ascertained a priori, and it is distributed as a random variable, the spatial distribution of these segments cannot be deterministically specified.

How do you calculate the number of sources in Frank Read?

Thus, the total number of Frank–Read sources to be randomly allocated is determined by defining the density of sources ρsource as the number of sources per unit area. Typical values in DDP (and D3P) are about 100 sources/μ m 2.

How does a Frank Read loop generate dislocations?

A Frank–Read loop can thus generate many dislocations in a plane in a crystal under applied stress. The Frank–Read source mechanism explains why dislocations are primarily generated on certain slip planes; dislocations are primarily generated in just those planes with Frank–Read sources.