A blade for a turbomachine rotary fan, the blade comprising a body made of a composite material having an upstream edge and a downstream edge , between which the body extends along a first longitudinal direction (AX), an extrados and an intrados , between which the body extends along a second thickness direction (EP), which is transverse to the first direction (AX), a blade root and an upper blade tip edge , between which the body extends along a third height direction (DR), transverse to the first and second directions (AX, EP), a function of the blade root being to be fixed to a longitudinal rotary fan hub , the blade comprising a predetermined breaking zone , which extends from the upstream edge over a determined non-zero length (L) along the first longitudinal direction (AX) and which extends from the blade tip edge over a determined non-zero height (H) along the third height direction (DR), the blade being characterized in that the body comprises a fiber reinforcement obtained by three-dimensional weaving of warp strands extending at least along the third height direction (DR) and of weft strands extending at least along the first longitudinal direction (AX), and a resin matrix in which the fiber reinforcement is embedded, the body has, in or in proximity to the predetermined breaking zone , at least one discontinuity of at least certain of the warp strands and/or of at least certain of the weft strands , configured so that the predetermined breaking zone is partially detached in presence of tangential friction extending in the second thickness direction (EP) against the blade tip edge , the determined non-zero height (H) of the predetermined breaking zone being less than 3% of an aerodynamic stream height (HVA) of the blade , defined from the upper blade tip edge to an aerodynamic stream starting point of the blade , which is located at a distance from the blade root and which is intended to be in contact with an inter-blade platform along the third height direction (DR). the blade comprising a predetermined breaking zone , which extends from the upstream edge over a determined non-zero length (L) along the first longitudinal direction (AX) and which extends from the blade tip edge over a determined non-zero height (H) along the third height direction (DR), the blade being characterized in that the body comprises a fiber reinforcement obtained by three-dimensional weaving of warp strands extending at least along the third height direction (DR) and of weft strands extending at least along the first longitudinal direction (AX), and a resin matrix in which the fiber reinforcement is embedded, the body has, in or in proximity to the predetermined breaking zone , at least one discontinuity of at least certain of the warp strands and/or of at least certain of the weft strands , configured so that the predetermined breaking zone is partially detached in presence of tangential friction extending in the second thickness direction (EP) against the blade tip edge , the determined non-zero height (H) of the predetermined breaking zone being less than 3% of an aerodynamic stream height (HVA) of the blade , defined from the upper blade tip edge to an aerodynamic stream starting point of the blade , which is located at a distance from the blade root and which is intended to be in contact with an inter-blade platform along the third height direction (DR). <EOS>