The present invention relates to a structure successively comprising: a layer of barrier polymer, a tie layer comprising, the total being 100%: 1 to 80% of at least one polyethylene carrying epoxy functional groups, 99 to 20% of at least one viscous polymer compatible with the polyethylene carrying epoxy functional groups, a polyethylene layer, and optionally another tie layer and a layer of barrier polymer, the layers adhering in their respective contact zones. This structure is of use in preparing devices for the storage or transfer of fluids, in particular in motor vehicles. The invention also relates to these devices. These devices can be pipes, tanks, bottles or containers in which the layer of barrier polymer is in contact with the stored or transported fluid. These structures can comprise other layers composed of other materials.