A stabilized, mixed finite element method for viscoplastic flow analysis is presented.
Preliminary results show promise for modeling large deformation bulk forming processes.
The stabilized formulations and applications to plastic flow problems are presented. Numerical experiments using the stabilization method with hierarchic shape functions for the velocity and pressure fields in viscoplastic flow problems show that the stabilized, mixed FEM is effective and efficient for non-linear steady forming problems. A stabilized finite element formulation for fluid dynamics using mesh-entity based hierarchical basis functions is presented. The effect of element topology on solution quality and algorithm efficiency is carefully studied. The numerical formulation is presented in the context of the p -version finite element method for the 3 dimensional, incompressible Navier Stokes equations.