||Organic matrix composite materials are rate-dependent. Approaches exist for static and for dynamic cases but not for both. In the present study, a viscoelastic spectral model, classically used for low strain rates, was successfully identified on dynamic test data as being suitable for high strain rates. The associated identified model was no longer available for low strain rates. An improved formulation of the model was devised, to be representative for both high and low strain rates. Results exhibited the desired rate dependence and good agreement with experimental data.