The glide of dislocations in peak- and overaged particle strengthened f.c.c
. materials has been simulated in computers. The resistance of dislocations
to bending has been described on the basis of Brown's (Phil. Mag. 10, 1964
, 441) concept of the dislocations' self-stress. Hence even strongly bent d
islocations have been treated accurately. The computer experiments have bee
n conducted for three different types of spherical particles: (i) incoheren
t, i.e. non-shearable ones, (ii) long-range ordered shearable ones, and (ii
i) ones which have a lattice mismatch. The finite dimensions of the particl
es have been fully allowed for. These simulations yield numerical data for
the critical resolved shear stress as a function of the volume fraction of
the particles and their average radius. These functions can be well represe
nted by amended versions of current analytical formulae derived from standa
rd models of particle strengthening. (C) 2001 Acta Materialia Inc. Publishe
d by Elsevier Science Ltd. All rights reserved.