543 citations · 1.6k across the 18 of their papers we have counts for
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A quantitative variational phase field framework
Arnab Mukherjee, James A. Warren, Peter W. Voorhees
The finite solid-liquid interface width in phase field models results in non-equilibrium effects, including solute trapping. Prior phase field modeling has shown that this extra de…
On topological defects in two-dimensional orientation-field models for grain growth
Bálint Korbuly, Mathis Plapp, Hervé Henry +3
Standard two-dimensional orientation-field based phase-field models rely on a continuous scalar field to represent crystallographic orientation. The corresponding order parameter s…
Phase Field Benchmark Problems for Dendritic Growth and Linear Elasticity
Andrea M. Jokisaari, Peter W. Voorhees, Jonathan E. Guyer +2
We present the second set of benchmark problems for phase field models that are being jointly developed by the Center for Hierarchical Materials Design (CHiMaD) and the National In…
Phase-field modeling of crystal nucleation in undercooled liquids -- A review
László Gránásy, Gyula I. Tóth, James A. Warren +4
We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in micr…
Self-consistent modeling of anisotropic interfaces and missing orientations: Derivation from phase-field crystal
Nana Ofori-Opoku, James A. Warren, Peter W. Voorhees
Highly anisotropic interfaces play an important role in the development of material microstructure. Using the diffusive atomistic phase-field crystal (PFC) formalism, we determine…
Phase-Field Crystal Model with a Vapor Phase
Edwin J. Schwalbach, James A. Warren, Kuo-An Wu +1
Phase-Field Crystal (PFC) models are able to resolve atomic length scale features of materials during temporal evolution over diffusive time scales. Traditional PFC models contain…