A method for dissociating different constituents of heterogeneous artificial material, the method comprising the fragmentation of the material in a fragmentation machine by material-bed compression under the effect of a fragmentation force, the machine including: - a tank forming an internal fragmentation track about a longitudinal axis of the machine; - a hub forming an external fragmentation track about a longitudinal axis of the machine, the hub being placed inside the tank; - at least one vibrator (8a, 8b, 8c, 8d), rotated about a longitudinal axis of the machine, and connected to one or the other of the tank and the hub; the method comprising: - rotating the vibrator(s) (8a, 8b, 8c, 8d) of the fragmentation machine, such that the tank performs a movement in a transverse plane of the machine relative to the hub; - feeding the fragmentation machine with material to be fragmented; - fragmenting the material between the external fragmentation track and the internal fragmentation track; the method being characterised in that the fragmentation machine comprises a system for controlling at least one parameter of the fragmentation force from the speed of rotation of the vibrator(s) (8a, 8b, 8c, 8d) and the phase shift angle between at least two vibrators (8a, 8b, 8c, 8d); and this control system adjusts at least one rotation parameter of the vibrators (8a, 8b, 8c, 8d) so as to generate a fragmentation force by the machine allowing to at least partially dissociate at least one of the constituents of the material from the other constituents. - a tank forming an internal fragmentation track about a longitudinal axis of the machine; - a hub forming an external fragmentation track about a longitudinal axis of the machine, the hub being placed inside the tank; - at least one vibrator (8a, 8b, 8c, 8d), rotated about a longitudinal axis of the machine, and connected to one or the other of the tank and the hub; the method comprising: - rotating the vibrator(s) (8a, 8b, 8c, 8d) of the fragmentation machine, such that the tank performs a movement in a transverse plane of the machine relative to the hub; - feeding the fragmentation machine with material to be fragmented; - fragmenting the material between the external fragmentation track and the internal fragmentation track; the method being characterised in that the fragmentation machine comprises a system for controlling at least one parameter of the fragmentation force from the speed of rotation of the vibrator(s) (8a, 8b, 8c, 8d) and the phase shift angle between at least two vibrators (8a, 8b, 8c, 8d); and this control system adjusts at least one rotation parameter of the vibrators (8a, 8b, 8c, 8d) so as to generate a fragmentation force by the machine allowing to at least partially dissociate at least one of the constituents of the material from the other constituents. - rotating the vibrator(s) (8a, 8b, 8c, 8d) of the fragmentation machine, such that the tank performs a movement in a transverse plane of the machine relative to the hub; - feeding the fragmentation machine with material to be fragmented; - fragmenting the material between the external fragmentation track and the internal fragmentation track;