Numerical simulation of lubricated contact between solids in metal forming processes using the arbitrary Lagrangian Eulerian formulation

In this paper, the lubrication problem in numerical simulation of forming processes is considered. Two efficient convection algorithms are briefly presented in order to update the value stored at the Gauss point during the Eulerian step of an Arbitrary Lagrangian Eulerian computation in solid mechanics. They are based on the finite volume method and on the Streamline Upwind Petrov Galerkin method. After enumerating the difficulties encountered when trying to solve the lubrication problem with the finite element method, a generalization of the formulation of Liu (Hu Liu 1990; Liu Hu 1992; Hu & Liu 1993) for the thin film hydrodynamic lubrication regime is presented. This method is then applied to a strip rolling simulation, using the Arbitrary Lagrangian Eulerian formalism.