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Abstract

A phase-field model is presented which is generally applicable for homogeneous and heterogeneous systems at the mesoscopic scale. The meso- scopic model equations are defined by a coarse graining procedure from a microscopic model in the continuum limit on the atomic scale. Special emphasis is given to the question of how to separate the interface and bulk contributions to the generalized thermodynamic functional, which forms the basis of all phase-field models. Numerical aspects of the discretization are discussed at the lower scale of applicability. The model is applied to spinodal decomposition and ripening in Ag–Cu with realistic thermodynamic and kinetic data from a database. See [1,2]

References
1 I. Steinbach L. Zhang M. Plapp: Phase-field model with finite interface
dissipation, Acta Materialia, 3(60), 2689–2701 (2012).
2 L. Zhang I. Steinbach: Phase-field model with finite interface dissipation:
Extension to multi-component multi-phase alloys, Acta Materialia, 3(60),
2702–2710 (2012).