After a short summary of the most significant experimental results availabl
e in the literature, the different types of models proposed for directional
coarsening under stress are discussed. We show that, in contrast with form
er models considering isolated precipitates in elastic media, local stresse
s resulting from both precipitate interactions and plastic relaxation of mi
sfit stresses are of fundamental importance. In the latest approaches, dire
ctional coarsening is thought to result from cross-diffusion of chemical sp
ecies in elastic energy gradients, in order to suppress non-relaxed matrix
channels. The morphology and kinetics of directional coarsening is predicte
d by recent numerical simulations. Relations between directional coarsening
and creep mechanisms are also discussed.