In off-shore structures, the jacket foundations are mainly welded connections in circular hollow sections. These connections exhibit problems in resisting fatigue load. Wrapped composite joints tackle this problem with improved fatigue resistance. However, the material properties are yet unknown. In order to determine the properties on a more fundamental manner chosen than just testing different layups for different scaled experiments. This fundamental manner follows the procedure of identifying the mechanisms and their effect on the composite material. The main effect that will be considered of each mechanism is the stiffness degradation over time in order to determine the fatigue life. For now, the effects of the three (most) significant mechanisms are modelled for a glass fibre reinforced composite layup of a compact tension specimen. These effects are modelled using the plasticity model for inter fibre failure, the virtual crack closure technique for delamination and the ductile damage model for fibre failure.