Hybrid Monte Carlo Simulation of Stress-Induced Texture Evolution with Inelastic Effects

TL;DR

This paper presents a hybrid Monte Carlo method coupled with a material point approach to simulate how inelastic deformation influences microstructure and texture evolution in polycrystalline materials, incorporating plasticity effects.

Contribution

It introduces a novel hybrid Monte Carlo framework that integrates inelastic deformation effects into microstructural evolution modeling of polycrystals.

Findings

Plastic loading accelerates texture evolution in grains with higher Schmid factors.

The model predicts grain removal based on local plastic deformation and boundary motion.

Parallelized Monte Carlo implementation improves computational efficiency.

Abstract

A hybrid Monte Carlo (HMC) approach is employed to quantify the influence of inelastic deformation on the microstructural evolution of polycrystalline materials. This approach couples a time explicit material point method (MPM) for deformation with a calibrated Monte Carlo model for grain boundary motion. A rate-independent crystal plasticity model is implemented to account for localized plastic deformations in polycrystals. The dislocation energy difference between grains provides an additional driving force for texture evolution. This plastic driving force is then brought into a MC paradigm via parametric links between MC and sharp-interface (SI) kinetic models. The MC algorithm is implemented in a parallelized setting using a checkerboard updating scheme. As expected, plastic loading favors texture evolution for grains which have a bigger Schmid factor with respect to the loading direction, and these are the grains most easily removed by grain boundary motion. A macroscopic equation is developed to predict such texture evolution.