A Cosserat crystal plasticity and phase field theory for grain boundary migration

Abstract

The microstructure evolution due to thermomechanical treatment of metals can largely be described by viscoplastic deformation, nucleation and grain growth. These processes take place over different length and time scales which present significant challenges when formulating simulation models. In particular, no overall unified field framework exists to model concurrent viscoplastic deformation and recrystallization and grain growth in metal polycrystals. In this work a thermodynamically consistent diffuse interface framework incorporating crystal viscoplasticity and grain boundary migration is elaborated. The Kobayashi--Warren--Carter (KWC) phase field model is extended to incorporate the full mechanical coupling with material and lattice rotations and evolution of dislocation densities. The Cosserat crystal plasticity theory is shown to be the appropriate framework to formulate the coupling between phase field and mechanics with proper distinction between bulk and grain boundary behaviour.

Accepted manuscript. Funded under the European Union (EU) Horizon 2020 Marie Sklodowska-Curie action; MIGRATE, grant number 707392

References in corpus (4)

• An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper
• Phase field theory of polycrystalline solidification in three dimensions
• Sharp interface limit of a phase-field model of crystal grains
• Extending phase field models of grain boundaries to three dimensions

Cited by in corpus (4)

• A phase field electro-chemo-mechanical formulation for predicting void evolution at the Li-electrolyte interface in all-solid-state batteries
• Landau theory of crystal plasticity
• A Continuum Multi-Disconnection-Mode Model for Grain Boundary Migration
• A New Formulation of Coupling and Sliding Motions of Grain Boundaries Based on Dislocation Structure