Abstract: Apparatus and a method for its use for reducing discarded pneumatic tires and other large articles of tough, resilient, material into pieces of greatly reduced size, including a series of machines which successively shear and granulate tough, resilient articles into smaller and smaller pieces. In one embodiment of the apparatus according to the invention two successive rotary shear machines are followed by a granulator. Pieces are sorted before being sent to the granulator, and oversize pieces are sent a second time through the two shears. In another embodiment of the invention a single rotary shear apparatus is followed by a pair of granulators which successively reduce the size of pieces of material to smaller and smaller sizes.