The back stress exerted on climbing dislocations 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 upon earlier work, where the shape of a climbing dislocation was calculated by 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 on 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