Abstract: A steady-state, rigid-plastic rolling problem for temperature and strain-rate dependent materials with nonlocal friction is considered. A variational formulation is derived, coupling a nonlinear variational inequality for the velocity and a nonlinear variational equation for the temperature. The existence and uniqueness results are obtained by a proposed fixed point method.

Key words: particle dispersion, high Reynolds number, discrete vortex method (DVM), liquid-particle, wake vortex, steady-state rolling, rigid-thermoviscoplastic material, nonlocal friction, fixed point method, variational analysis