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Phase-Field Modeling

Britta Nestler

The following sections are devoted to introducing the phase-field modeling technique, numerical methods, and simulation applications to microstructure evolution and pattern formation in materials science. Model formulations and computations of pure substances and of multicomponent alloys are discussed. A thermodynamically consistent class of nonisothermal phase-field models for crystal growth and solidification in complex alloy systems is presented. Expressions for the different energy density contributions are proposed and explicit examples are given. Multicomponent diffusion in the bulk phases including interdiffusion coefficients as well as diffusion in the interfacial regions are formulated. Anisotropy ...

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