An assembly for cutting foam, nonwoven, rubber, and composite products has a guide having a longitudinally extending guide edge formed with a longitudinally extending and outwardly open groove. A longitudinally extending row of cutting elements extends along the guide edge, and element each has an entrainment dog projecting inward into the groove, a support riding on the guide edge and having sides each formed with a pair of longitudinally spaced and outwardly open recesses, a base outward of the support, and a wedge-section cutting tooth forming a cutting edge outside the base and having a pair of longitudinally extending flanks converging at the cutting edge. Coupling links extend between and have ends set in the recesses of adjacent cutting elements. Pivot pins extend through the ends of the links and through the supports at the bases. The base is of a maximum width greater than a width of the assembly at the pins.