Parallelized Hybrid Monte Carlo Simulation of Stress-Induced Texture Evolution

TL;DR

This paper introduces a parallel hybrid Monte Carlo method combining material point and Monte Carlo techniques to simulate how elastic stress influences microstructural texture evolution in polycrystalline nickel.

Contribution

It develops and tests a novel parallelized hybrid Monte Carlo approach integrating stress effects into grain boundary migration simulations.

Findings

Elastic stress influences grain boundary migration and texture evolution.

The method quantifies the rate of texture change under elastic loading.

An internal variable rate equation predicts texture distribution over time.

Abstract

A parallelized hybrid Monte Carlo (HMC) methodology is devised to quantify the microstructural evolution of polycrystalline material under elastic loading. The approach combines a time explicit material point method (MPM) for the mechanical stresses with a calibrated Monte Carlo (cMC) model for grain boundary kinetics. The computed elastic stress generates an additional driving force for grain boundary migration. The paradigm is developed, tested, and subsequently used to quantify the effect of elastic stress on the evolution of texture in nickel polycrystals. As expected, elastic loading favors grains which appear softer with respect to the loading direction. The rate of texture evolution is also quantified, and an internal variable rate equation is constructed which predicts the time evolution of the distribution of orientations.