An approximate method is developed for comparing various fiber configuratio
ns in a composite structure with the objective of achieving optimal resista
nce to creep failure. The class of composite structures addressed has a sin
gle family of long or continuous strong fibers embedded in a creeping matri
x material, e.g., a polymer; metal. etc. Thus, the structure is locally tra
nsversely isotropic with the fiber orientation generally varying throughout
the structure. The proposed method, intended as an early design tool, is b
ased on an upper bound on creep rupture time and an associated representati
ve failure stress. The latter is evaluated and compared for different fiber
configurations, thereby identifying that with optimal creep rupture resist
ance. This approach allows a substantial saving in computational time by av
oiding a detailed analysis of the actual failure process. Application is ma
de to a fiber -reinforced thick-walled cylindrical pressure vessel.