
Phase Field Formulation for Microstructure Evolution in Oxide CeramicsLeslie Button, Corning, Inc.Corning Workshop Documents Brief Description This problem in fact contains two problems: The simpler problem concerns how one should treat the interface boundary value problem for a model that has an obstacle potential (infinite barrier) in the phase field variables [1]. The main event concerns how to generate numerically (or otherwise) tractable equations to deal with a mixture of solutions and nearstoichiometric phases. There is a mixture of physical issues and numerical/mathematical ones involved. [1] Blowey & Elliott, The CahnHilliard gradient theory for phase separation with nonsmooth free energy, Part I: Mathematical analysis, Euro J Applied Math 2 (1991) 233279.
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