Modeling Elastic and Plastic Deformations in Non-Equilibrium Processing Using Phase Field Crystals

TL;DR

This paper introduces a continuum field theory model to simulate elastic and plastic deformations, free surfaces, and multiple crystal orientations during non-equilibrium processing, validated through analytical calculations and numerical simulations.

Contribution

The work presents a novel phase field crystal model capable of capturing complex deformation behaviors and microstructural evolutions in non-equilibrium conditions.

Findings

Model accurately predicts elastic and plastic deformation behaviors.

Simulations demonstrate applications in epitaxial growth and crack propagation.

Analytical solutions support numerical results.

Abstract

A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces and multiple crystal orientations in non-equilibrium processing phenomena. Many basic properties of the model are calculated analytically and numerical simulations are presented for a number of important applications including, epitaxial growth, material hardness, grain growth, reconstructive phase transitions and crack propagation.