Fiber reinforcing texture for making a composite material part

A fiber texture for reinforcing a composite material part, the fiber texture being woven as a single part and having an inner portion, or core, and a portion adjacent to an outside surface, or skin, wherein the core is made by three-dimensional weaving with yarns that are made up, at least in the majority, from discontinuous fibers, and the skin is made by weaving with yarns made up from continuous filaments,

• wherein the weaving of the core portion is performed with yarns each made up from substantially twist-free discontinuous fibers together with at least one sacrificial covering yarn providing cohesion for the yarn.