Provided are, among other things, systems, methods and techniques for manufacturing sheet material. In one representative embodiment, a sheet of fabric material is positioned across a patterning template that has a number of openings; and the sheet of fabric material and the patterning template are fed through an extrusion device in which extrusion material coats the fabric material and forces the fabric material into the openings in the patterning template, thereby producing a composite sheet material.