Dislocation glide in a matrix which contained incoherent spherical particles was simulated, and the critical resolved shear stress was derived. The simulations were based upon the local stress equilibrium along the dislocation line. The stress terms which were taken into account were the external applied stress, a viscous drag stress, the obstacle stress and the dislocation self-stress. The latter term replaced the line tension model, and allowed for the elastic interaction of a dislocation with itself and with other dislocations. The particles had a radius-distribution, and a 3-dimensional spatial arrangement, which were close to those in a real crystal. The critical resolved shear stress was calculated as a function of the mean particle radius and the particle volume fraction.

Orowan Process Controlled Dislocation Glide in Materials Containing Incoherent Particles. V.Mohles: Materials Science and Engineering A, 2001, 309-310, 265-9