Bridging the phase-field and phase-field crystal approaches for anisotropic material systems
Material and Process Simulation (MPS), University Bayreuth, 95448 Bayreuth, Germany
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Received: 13 December 2013
Revised: 10 January 2014
Published online: 28 February 2014
In this paper the amplitude representation of the anisotropic phase-field crystal (APFC) model recently proposed as a generalized model for isotropic as well as anisotropic crystal lattice systems is developed. The relationship between the amplitude equations and the standard phase-field model for solidification of pure substances with elasticity effects is derived which provide an explicit connection between the phase-field and APFC models. On the one hand we present a computationally more efficient model and highlight its potential as a bridge between the PFC and phase-field models with anisotropic interface energies and kinetics on the other hand.
© EDP Sciences, Springer-Verlag, 2014