Show that the strain energy (per unit length) associated with the screw dislocation model of Example 15.2 is given by:

where R_o is the outer radius of the crystal and R_c is the core radius of the dislocation. This quantity is sometimes referred to as the self-energy. The radial dimensions are somewhat arbitrary, although R_c is sometimes taken as five times the magnitude of the Burgers vector.

Data from example 15.2

Transcribed Image Text:

Wscrew MB -log- 4 Ro Re