Question

I learned that The energy of dislocation is : but, I can't understand this e.q :   

And why density is Ev/E ?

Can you explain how it's coming out like that?

Answer 1

The elastic energy per unit length for screw dislocation is In 4T The elastic energy per unit length for edge dislocation: In The elastic energy per unit length for mixed dislocation Ini-lcos 47(1-v) 4T(1-v)o For typical metals and alloys, the lne tension 1s generally approximated as the following qualitative relation 2 (It is and approximated value based on qualitative analysis) For this case, the same qualitative relation is applied Gb 2 The dislocation density is obtained by dividing the stored energy by this obtained E value.