Modeling Elastic and Plastic Deformations in Non-Equilibrium Processing Using Phase Field Crystals

A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces and multiple crystal orientations in non-equilibrium processing phenomena. Many basic properties of the model are calculated analytically and numerical simulations are presented for a number of important applications including, epitaxial growth, material hardness, grain growth, reconstructive phase transitions and crack propagation.