I am modeling the phase change material in FEM, initially the material is solid state,and the heat supplied by laser scan on the top surface, due this heat source of the model get transform form some part into melt and the remaining part in solid state. Further, i want cool down the model to again melt becomes solid state. To model the such a phase change material, I have define the single form Navier-Stokes equation for solid and melt to balance momentum.
Dear Prof. Kona Veera Ganesh
One way to see how the equations of hydrodynamics can be used in solid crystals is described in the monograph: Theory of Elasticity, Vol 7 (1984)
by Landau, Pitaevskii, Kosevich & Lifshitz, ISBN: 9780750626330 ELSEVIER
If you look at chapter five, you will see for example how viscosity can be treated in solids, the same as thermal conduction.
There is an interesting item & 36 "Highly viscous fluids"
Kind Regards.
Prof. Kona Veera Ganesh
Anther book that presents dense solids, liquids and gases with the a similar approach, i.e. using an interatomic potential is:
"Statistical Thermodynamics: An Engineering Approach" by Prof. John W. Daily. Cambridge University Press, 2019.
It has an appendix D called: "Multicomponent, Reactive Flow Conservation
Equations" pp. 236
Kind Regards.
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