A nonlinear capillarity-driven grain growth in polycrystalline materials

TL;DR

This paper introduces a nonlinear capillarity-driven model for grain growth in polycrystalline materials, predicting growth and stagnation based on key parameters, aiding microstructural design.

Contribution

A new nonlinear formula for grain growth rate that accounts for multiple physical parameters in polycrystalline systems.

Findings

The model accurately predicts grain growth and stagnation.

Growth depends on temperature, interfacial energy, and grain size.

Provides guidance for microstructural optimization.

Abstract

A formula of grain growth rate, based on a nonlinear capillarity-driven relation, is derived to predict and interpret realistic growth processes in polycrystalline systems. The derived formula reveals how the growth and stagnation of grains dominated by the correlated parameters (temperature, interfacial energy, step free energy, grain size and size distribution in polycrystalline system etc.). Our study provide a conclusive model of the growth and stagnation of grains, and thus offers helpful guides for the microstructural design to optimize the properties of polycrystalline materials.