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.
3 More- 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