On modelling the elasto-viscoplastic response of metals using polycrystal plasticity

A constitutive framework for the elasto-viscoplastic response of metals tha t utilizes polycrystal plasticity is presented together with a correspondin g numerical integration procedure. The single crystal equations are written in an intermediate configuration obtained by elastically unloading the def ormed crystal without rotation from the current configuration to a stress-f ree state. The elastic strains are assumed always to be small. The accompan ying numerical integration is implicit and proceeds by decoupling the Volum etric and the deviatoric crystal responses. The extended Taylor hypothesis is used to relate the response of individual crystals to that of the polycr ystal. Various homogeneous deformations have been simulated using the const itutive model and the integration scheme to compute the stress response and texture development. Aggregates of either face centered cubic (FCC) or hex agonal close-packed (HCP) crystals are subjected to both monotonic and non- monotonic loading histories. Numerical results demonstrate the performance of the model as well as show the stability and accuracy of the integration procedure. The present constitutive model and corresponding numerical proce dures can be used to predict elastic effects (e.g. residual stresses) durin g the large deformation of polycrystalline materials while accounting for t exture development and the associated anisotropy. (C) 1998 Elsevier Science S.A. All rights reserved.