PRIGOGINE THEOREM FOR THE PROCESS OF ROLLING OF A VISCOPLASTIC STRIP

Consideration is given to slow plane isothermal flow of a viscoplastic strip in rolling. Tangential stresses are assigned at the boundary of contact of the strip with the roll and at the boundaries between the flow region and the back and head rigid ends of the strip. A defi nition is provided for possible perturbations of the velocities of travel for special stationary flows of a viscoplastic strip in rolling. Minimum entropy production is proved for special stationary flows with respect to possible perturbations of velocities of travel (Prigogine theorem).
   
Author:  V. D. Solovei
Keywords:  slow flow of a viscoplastic strip in rolling, stationary fl ows, possible perturbations of velocities of travel, entropy-production minimum
Page:  561