Methods, apparatus, and systems for cutting material used in fused deposition modeling systems are provided, which comprise a ribbon including one or more perforations. Material is passed through at least one perforation and movement of the ribbon cuts the material. A further embodiment comprises a disk including one or more blade structures, each forming at least one cavity. Material is passed through at least one cavity and a rotational movement of the disk cuts the material. A further embodiment comprises a slider-crank mechanism including a slider coupled to a set of parallel rails of a guide shaft. The slider moves along a length of the rails to cut the material. Yet another embodiment comprises one or more rotatable blade structures coupled to at least one rod. The rotation of the blade structures causes the blade structures to intersect and cut extruded material during each rotation.