Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals

2003/06/26 by K. R. Elder, Martin Grant · 17 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Aluminum Alloy Microstructure Properties #Condensed matter physics #Field (mathematics) #Materials science #Mathematics #Mechanics #Microstructure and mechanical properties #Non-equilibrium thermodynamics #Phase (matter) #Phase transition #Physics #Solidification and crystal growth phenomena #Statistical physics #Thermodynamics #cond-mat.mtrl-sci #cond-mat.soft

paper · pdf · doi:10.1103/physreve.70.051605

20 pages, 26 figures

arxiv created 2003/06/26 · openalex publication_date 2004/11/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces, and multiple crystal orientations in nonequilibrium 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.

Citations

• Hydrodynamic fluctuations at the convective instability
• Pattern formation outside of equilibrium

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