A rolling hinge device comprises two substantially parallel winding cylinders, longitudinal link element-forming winding means, the winding means being able to maintain a predetermined distance between the winding cylinders and being wound around winding cylinders, and at least two flexible tracks, a flexible track being fixed to each winding cylinder, the flexible tracks being arranged facing one another and having a point of contact, a prestressing force being applied at said point of contact of the flexible tracks under the effect of the winding means. At least one flexible track comprises at least one slot produced over at least a part of its length, the slot delimiting a plurality of flexible beam sections of determined profiles.