Chemical Engineering Basics

Q1: The elastic strain energy of a unit length of an edge dislocation as compared to that of a screw dislocation is

A more

B equal

C less

D double

ANS:A - more

The elastic strain energy of a unit length of an edge dislocation is more than that of a screw dislocation. Explanation:

  1. Types of Dislocations: Dislocations are line defects in the crystal lattice of materials. Two common types of dislocations are edge dislocations and screw dislocations.
  2. Edge Dislocation: In an edge dislocation, the extra half-plane of atoms is inserted into the crystal lattice along the dislocation line. This creates regions of compressive and tensile strains around the dislocation line.
  3. Screw Dislocation: In a screw dislocation, the atoms are displaced parallel to the dislocation line, resulting in a spiral or helical motion of atomic planes around the dislocation line. The strain field around a screw dislocation is rotational.
  4. Elastic Strain Energy: Elastic strain energy is the energy stored in a material due to deformation under an applied load. It is proportional to the square of the strain and depends on the nature of the dislocation.
  5. Comparison: The elastic strain energy of an edge dislocation is more than that of a screw dislocation. This is because the strain field around an edge dislocation is more concentrated and extends farther from the dislocation line compared to a screw dislocation. As a result, the energy associated with the distortion of atomic bonds and the strain field is higher for an edge dislocation.
  6. Physical Interpretation: Edge dislocations have a higher energy per unit length because they create significant distortions in the lattice structure, leading to larger elastic strain energy compared to screw dislocations.
In summary, the elastic strain energy of a unit length of an edge dislocation is more than that of a screw dislocation due to the concentrated and extensive strain field associated with edge dislocations.



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