· Phase-field method
· Precipitate microstructure evolution in alloys and ceramics
· Domain structures in ferroelectric, ferromagnetic, ferroelastic and multiferroic thin films
· Domain switching in ferroelectric single crystals, thin films and polycrystals
· Interactions between dislocations and phase microstructures
· Thermodynamics and kinetics of structural phase transformations in alloys and ceramics
· Design of computational tools for modeling microstructure evolution
· Application of information technology to materials simulation and modeling
· Integrated computational materials science and engineering