A stabilized, Galerkin finite element formulation for modelling
elasto-visco-plastic response of quasi-steady state processes,
such as welding, laser surfacing, rolling and extrusion is
presented in an Eulerian frame. The mixed formulation consists of
four field variables: velocity, stress, deformation gradient and
internal variable which is used to describe the evolution of the
material's resistance to plastic flow. The streamline upwind
Petrov-Galerkin (SUPG) method is used to eliminate spurious
oscillations which may be caused by the convection-type of stress,
deformation gradient and internal variable evolution equations. A
progressive solution strategy is introduced to improve the
convergence of the Newton-Raphson solution procedure. Two
2-dimensional numerical examples are implemented to verify the
accuracy of the Eulerian formulation.