Introducing density variation and pressure in thermodynamically self-consistent continuum phase-change models including phase-field

M. J. Welland and N. Ofori-Opoku
Phys. Rev. Materials 6, 043805 – Published 28 April 2022

Abstract

We present a thermodynamically self-consistent method to introduce dilation/density variation in continuum-scale phase-change models. Dilation incurs a pressure response via a hyperelastic contribution to the free energy that generalizes the lattice constraint. The dilation is represented entirely by species concentrations and permits composition, temperature, and phase-dependent specific volumes in a robust form. The impact of this approach is compared with the common assumption of the lattice constraint through demonstrative Stefan and phase-field models applied to the equilibrium of a Ni-Cu nanoparticle in equilibrium with its melt. Furthermore, the effect of phase and composition-dependent specific volume is explored in free dendritic growth behavior.

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  • Received 16 October 2021
  • Revised 12 January 2022
  • Accepted 25 March 2022

DOI:https://doi.org/10.1103/PhysRevMaterials.6.043805

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. J. Welland* and N. Ofori-Opoku

  • Canadian Nuclear Laboratories, Chalk River, Ontario, Canada

  • *Michael.Welland@cnl.ca

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Issue

Vol. 6, Iss. 4 — April 2022

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