A mathematical model for computing the extrusion of long billets of plasticized powder and composite charges on screw extruders through facilities with a local sectional area reduction of the forming channel is represented. The stress field calculation in the various material deformation centers along the overall length of the channel is carried out with the use of the discrete material plasticity theory. It is shown how to select their combination optimal for extrusion process by varying the form of the channel surface, the material extrusion rate in the zone of local channel section reduction, and the billet-section area.