Master of Science
Porosity causes cracks and many other defects in materials. The understanding of how pores affect the kinetics and material solidification remains largely lacking. Phase field crystal (PFC) modeling is a continuum approach that has been used to study phase behaviors and kinetics of many processes over wide ranges of length scales and over diffusive timescales. This thesis focuses on the development of a PFC model for materials with circular pores. From the model’s free energy functional, a Langevin equation for the density field is derived and integrated numerically over a wide range of system parameters. We found that the pore's main effect is to act as a nucleation agent, promoting crystallization of material at the pore’s interface, followed by dendritic growth of the solid in the supercooled liquid. Details of the crystal around the pore are investigated in terms of the pore radius, immiscibility parameter, and details of the pore-material interface.
Dissertation or thesis originally submitted to the local University of Memphis Electronic Theses & dissertation (ETD) Repository.
Sharma, Abash, "Phase Field Crystal Modeling of Materials Evolution in the Presence of Nanoscale Pores" (2019). Electronic Theses and Dissertations. 2059.