Shear stress required to bend a dislocation of radius R and burger vector b is P. What will be shear stress needed to turn a dislocation of radius 2R and burger’s vector 2b to bend the dislocation?

Correct Answer: P
Shear stress required to turn a dislocation is: τ=Gb/2R; where G is shear modulus, b is burger’s vector, R is the radius of dislocation. P=Gb/2R So if the radius is increased two times, and burger’s vector is also increased by two times, the net shear stress value will remain unchanged. G(2b)/2(2R)=Gb/2R=P