The invention relates to warheads having a core generating charge (1), which warheads rotate about an axis which is not coincident with the axis of the charge. According to the invention, a component (31) having a straight or curved triangular cross-section is fitted in front of the lining (11) of the charge with a core, which component is intended to brake the lining in a non-isotropic manner and which is destroyed during the formation of the core. <IMAGE>
