Physical Foundations of Mesoscale Continua

摘要: Assume that the physics on microscale (interactions between atoms, molecules, defects in crystals…) is understood. What appropriate mesoscale continuum theory for problem? are assumptions involved and how do they define limitations of model? To answer these questions, we begin with definition kinematics from kinematics. The geometry micro-structure (e.g., order vs. disorder) has a decisive role defining We thus arrive at three kinematic formulations: mass continuum, lattice granular continuum. Then, upon formulating power balance, use principle virtual to variety mathematical simple moving boundaries, phase field formulation, and, higher order, size-dependent problems considered include: mixing fluids capillary flows, flow/deformation, polycrystalline diffusional/dislocation creep accompanied by dislocation plasticity.