The invention describes the production and utilization of a multi-layer composite material, a polyester resin and/or vinyl-ester resin based adhesive with special composition, applied on the surface or between the layer of the enforced object, which is made of unsaturated polyester resin and/or vinyl-ester resin based, glass-fiber reinforced, pre-made band shaped prepreg material, which can be used on surface of cylindrically symmetric objects like piers, pipes, pillars, etc. to strengthen their stability, endurance and resistance. This material can also be used to repair certain small irregularities on the enforced objects surface. The prepreg band and adhesive can be prepared, used and hardened where the enforced objects are, and while the objects are fully operating, even if the temperature is relatively cold at about 0° C. The opportune choice of initiators and the substances added to the prepreg's matrix material: poly-ε-caprolacton; the acetyl-acetone and alkyl-(acrylate)-methacrylate type monomers added to the adhesive result in the networking of the resins. The peroxides decompose due to the activator compounds coming from diffusion on the surface of the adhesive substance. This process ensures the complete hardening of the composite band on the whole surface it is applied and the homogeneity of the assumption of load.