A consistent Eulerian formulation for large deformation analysis with reference to metal-extrusion process
A critical discussion of the different formulation methods for the finite element analysis of nonlinear problems is given. The discussion is concerned mainly with the differences between updated Lagrangian and Eulerian formulations, and with the specific nature and basic characteristics of each. A consistent Eulerian formulation is developed by means of the virtual work principle in an explicit form. Differences between the presented formulation and similar formulations as well as the attempted Eulerian formulations are discussed according to the classification of formulation methods. To demonstrate the applicability and the effectiveness of the Eulerian finite element analysis using a fixed mesh in space, a metal-extrusion problem has been solved. In this approach, the mesh is maintained fixed in space and the increment of stress tensors for a forward incremental step are added to a set of interpolated stress tensors. Then, these stresses are interpolated back to obtain the state of stress of the body-points momentarily occupying the fixed integration points of the mesh.
scientific article; zbMATH DE number 4029017