On a rolling problem for porous materials

A non-steady hot-strip rolling problem for powder based compressible materials, taking into account friction, strain rate sensitivity, strain hardening and relative density effects, is stated. A density evolution model, based on the mass conservation law is introduced. A variational formulation is given and an existence and uniqueness theorem is also stated. A convergent numerical method, analogous to the variable stiffness parameters method, proposed by Korneev and Langer for solving plastic flow theory problems is presented.