Sixth GAMM Seminar on Microstructures - Abstract

Rosato, Daniele

A Hybrid Multiscale Model for Texture--Induced Microstructures in Finite Plasticity

The lecture outlines recent developments towards the formulation and numerical implementation of fast incremental updates of the it crystal orientations microstructures in finite plasticity of polycrystalline materials. To this end, we consider first a purely macroscopic setting of anisotropic finite plasticity in the logarithmic strain space based on evolving structural tensors. Next, we outline recent achievements in the algorithmic formulation of Taylor--Type texture models for polycrystals with discrete grain orientations. In particular, we present a framework for a it fast computational estimate of the texture evolution in polycrystals. In a third step, the above two approaches are combined into a new it hybrid multi--scale model where the evolution of the structural tensors is furnished by the fast texture estimate. The new model provides an efficient and compuatational handable two--scale approach for the prediction of the complex microstructures evolution in polycrystals. We demonstrate its performance by means of representative numerical simulations of fcc and bcc polycrystals.