Chapter 4, Problem 4.23P

Interpretation Introduction

Interpretation:

A burgers circuit around the dislocation in the given figure needs to be drawn indicating the Burgers vector. The direction of the dislocation due to the shear stress needs to be determined.

Concept Introduction:

The burgers vector is a vector in material science, and it is denoted by b representing the magnitude as well as direction of the distortion of lattice due to dislocation in a crystal lattice. On visualizing the crystal structure before the dislocation, the magnitude and direction of vector can be understood better. This is known as the perfect crystal structure. Depending on the plane of dislocation, the direction of the vector is decided, and the magnitude is calculated as follows:

  $\Vert b\Vert =\left(\frac{a}{2}\right)\sqrt{h^2+k^2+l^2}$

Here, a is edge length and h, k, and l are Burgers vector's components.