Consider a material strengthened by precipitation of ?ne particles. Suppose the shear yield strength of the particles is G/10 (theoretical) and the strength of the matrix is G/500. Also, assume that the volume fraction of particles is 1 vol% and they have a diameter of 0.010 µm. Assume that b = 0.2 nm.
A. Calculate the applied shear stress, τ (relative to G), which is necessary to bow the dislocations between particles.
B. Would dislocations bow between the particles or shear them?