The invention concerns a blind rivet (R) of the type consisting of a deformable bushing (300) and a cleavable mandrel (400), the thus formed assembly being urged to be positioned and pass through the orifices (110 and 120) made substantially coaxial and provided in at least two elements (100 and 200) to be assembled. Said rivet is characterized in that the bushing (300) consists of one single piece but preformed to have a second end (320) in two parts (330 and 340) which, under the action of an axial load (arrow F), are cleaved apart so that one part of the bushing (330) moved by the tensile load of the mandrel (400) is urged to be opened around the fixed part of the bushing (340), the expansion of the mobile part (330) called sleeve being produced without folding. The invention also concerns a method for inserting such a rivet. The invention is applicable to rivet fixing.