Finite Element Modelling of Nucleation Energetics

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9313233 Moran This research will develop nonlinear (both material and geometric) and nonlocal finite element methods for the quantitative analysis of solid-state phase transformations. A unified approach based on minimization, via finite elements, of the Landau-Ginzburg free energy will be developed for application to three-dimensional nucleation. The methods developed will provide quantitative predictions of interfacial energies and lead to a deeper understanding of the effects of nonlinearity and nolocality on solid-state reactions involving change in crystal structure. ***