Phase-field formulation for quantitative modeling of alloy solidification.

By Alain Karma. Physical Review Letters, 2001

761 citations recorded by the source corpus.

A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than previous formulations and permits one to eliminate nonequilibrium effects at the interface. Dendrite growth simulations with vanishing solid diffusivity show that both the interface evolution and the solute profile in the solid are accurately modeled by this approach.

Subfields: Aerospace Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/414221eaf85d31b294564681d206620d4eb85cd3

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In Aerospace Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Progress in modelling solidification microstructures in metals and alloys: dendrites and cells from 1700 to 2000 (2018, methodology): “Quantitative PF modelling of needle crystals in three dimensions was performed by Karma et al. [127,194].”
Multi phase field model for solid state transformation with elastic strain (2006, background): “One further step on this route is the thin interface kinetic correction by Karma and coworkers [9] [10].”
Finite interface dissipation phase field modeling of Ni–Nb under additive manufacturing conditions (2019, methodology): “scribe complex microstructural evolution without needing to track the moving interface, as opposed to the classical sharp interface models [25–31].”