There is disclosed a brake disc assembly for attachment to a brake disc hub having a plurality of circumferentially spaced outwardly radially extending hub projections. The brake disc assembly comprises a brake disc having a first side and a second opposing side which is arranged to face the brake disc hub. The brake disc comprises a plurality of circumferentially spaced outwardlyextending disc recesses each having first and second recess sidewalls which oppose each other. Each disc recess is provided with first and second intermediate elements which each have a spacer portion adjacent to a respective recess sidewall and a flange portion which is secured to the brake disc. Each disc recess is arranged to receive a corresponding hub projection between the spacer portions of the first and second intermediate elements.