The invention is an extrusion apparatus having a driven feed segment that is rotatably driven about central mandrel or within a housing member. Rotation of the driven feed segment subjects one or more streams of resin introduced onto a surface thereof to transverse shear during radial flow. One of more driven feed segments can be assembled with other components of conventional extrusion die assemblies. Extrusion die assemblies can include one or more driven feed segments rotated in the same or opposite direction of each other. The number of streams of resin and rotational speed of the driven feed segment can be controlled to produce microlayered film having in excess of 4000 layers.