The back stress exerted on dislocations climbing past cuboidal particles was calculated. It was assumed that particles were non-interacting, i.e. did not exert an attractive force on by-passing dislocations. The analysis was based on earlier work, where the shape of a climbing dislocation was calculated using a criterion of minimum energy. The back-stress was found to be proportional to the applied stress, τ. The constant of proportionality was about 1/3 for an angle of 45° between particle-face and glide plane. It depended only weakly upon the interparticle spacing, i.e. the normalized stress τ/τo, where τo was the Orowan stress.

Back-Stress Calculation for Dislocation Climb Past Non-Interacting Particles. J.Rösler: Materials Science and Engineering A, 2003, 339[1-2], 334-9