A brake disc assembly includes a central drive hub and a wear disc, which includes first and second faces held together axially about the hub. Each face has a respective inner surface and is formed of at least two distinct segments. Each segment extends between two radial edges. The radial edges of the segments of one face do not extend opposite the radial edges of the segments of the other face. Each segment of the face is adapted to be secured to a segment of the other face via at least one fastening member adapted to hold said faces.