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JSCIC
2008

Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids

9 years 11 months ago
Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids
Abstract We investigate a phase-field model for homogeneous nucleation and critical nucleus morphology in solids. We analyze the mathematical properties of a free energy functional that includes the long-range, anisotropic elastic interactions. We describe the numerical algorithms used to search for the saddle points of such a free energy functional based on a minimax technique and the Fourier spectral implementation. It is demonstrated that the phase-field model is mathematically well defined and is able to efficiently predict the critical nucleus morphology in elastically anisotropic solids without making a priori assumptions. Keywords Nucleation
Lei Zhang, Long-Qing Chen, Qiang Du
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2008
Where JSCIC
Authors Lei Zhang, Long-Qing Chen, Qiang Du
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