A supporting or compressing device configured to surround a limb or a joint of a user, including an elastic band having two band segments having different stiffness values, the elastic band having an inner face in contact with an area covered by the band and an outer face opposite to the inner face, the inner face of the band providing, in the presence of a compression pressure exerted when the band is fitted under traction around a limb or joint, an adhesion with the covered area, such that the two segments of the band conserve elongations resulting from different traction forces, after removal of the traction forces.
