In this paper, we reconsider a contact problem between an elasto-viscoplastic body and a deformable obstacle. The contact is modeled by the classical normal compliance contact condition. Then, fully discrete approximations are obtained by using the finite element method to approximate the spatial variable and the forward Euler scheme to discretize time derivatives. An a posteriori error analysi...

The microstructure evolution during cold rolling of commercial purity AA1050 aluminum is investigated through numerical simulations. A finite strain elasto-viscoplastic constitutive model is employed, where the dislocation density and average grain size are taken as variables characterizing the deformed microstructure. Grain size evolution due to dynamic recrystallization is considered and the ...

Anisotropic, elasto-viscoplastic behaviour in polycrystalline materials is modelled using a new, updated Lagrangian formulation based on a three-field form of the Hu-Washizu variational principle to create a stable finite element method in the context of nearly incompressible behaviour. The meso-scale is characterized by a representative volume element, which contains grains governed by single ...

Abstract In this paper a selected type of elasto-viscoplastic constitutive equations is considered. The viscoplastic model which was proposed by Marquis generalized allowing multiple terms describing the isotropic and kinematic hardening. Furthermore, presented formulation enables one to use an arbitrary equivalent plastic strain function describe hardening behavior. What more, backstress evolu...

We present a numerical algorithm for the simulation of the impact of hyperelastic-viscoplastic materials in two dimensions. There are several distinctive aspects of our approach. The governing equations are based on a fully conservative Eulerian formulation due to Plohr and Sharp and our modiication of the Steinberg-Lund rate dependent plasticity model. An approximate 2D Riemann solver is const...