An overview is given of some recent developments in computational modelling
of localization and failure phenomena in solids. Cohesive-zone models are
considered as well as enrichment of continua using gradients in space and i
n time. The latter models are applied to static instabilities as well as to
propagative instabilities. The determination of the additional parameters
that emerge in gradient continua is treated and attention is paid to the sp
atial resolution that is necessary to properly capture bands of localized d
eformation. Finally, the impact is considered which imperfection patterns m
ay have on the failure mode. Copyright (C) 2001 John Wiley & Sons, Ltd.