Abstract
This paper describes computational method for large deformation elasto-plasticity with nodal-integration stabilized finite element method in Eulerian formulation. The employed stabilized method is conventional SUPG (Stream Upwind Petrov Gelerkin) method. The SUPG method has been widely used to capture interface for uid dynamics in the Eulerian framework, however, a special computational treatment to apply the SUPG method to path-dependent solid deformation is indispensable. In the Eulerian formulation for the path-dependent solid deformation, stress and any path-dependent variables (for example, equivalent plastic strain in elasto-plasticity) must be advected. Although the path-dependent variables are defined on integration point in mesh, the SUPG method can advect variables in only node. In the present paper, variables are approximated on node using information in mesh, and advects the variables on node with the SUPG method. We test the present approach in representative computational examples.
