In this paper, a previously developed viscoelastic-viscoplastic behaviour model for short-fibre-reinforced thermoplastics (SFRT) is enriched with matrix ductile damage and fibre/matrix interfacial debonding constitutive laws. Aiming at industrial applications, model development takes special care to ensure a relatively easy characterisation of material parameters, as illustrated with case of a short-glass-fibre-reinforced polypropylene. Numerical simulations are done to assess the capability of the model to account for all specificities of SFRT behaviour with a particular attention paid on the coupled influence of strain rate and microstructure configuration on the initiation and development of matrix damage and fibre/matrix debonding.