Towards a quantitative phase-field model of two-phase solidification

Abstract

We construct a diffuse-interface model of two-phase solidification that quantitatively reproduces the classic free boundary problem on solid-liquid interfaces in the thin-interface limit. Convergence tests and comparisons with boundary integral simulations of eutectic growth show good accuracy for steady-state lamellae, but the results for limit cycles depend on the interface thickness through the trijunction behavior. This raises the fundamental issue of diffuse multiple-junction dynamics.

4 pages, 2 figures. Better final discussion. 1 reference added

References in corpus (3)

• Phase-Field Formulation for Quantitative Modeling of Alloy Solidification
• Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. I. Theoretical approach
• Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. II. Numerical study

Cited by in corpus (10)

• Quantitative Phase Field Model of Alloy Solidification
• Quantitative phase-field modeling of two-phase solidification
• Unified derivation of phase-field models for alloy solidification from a grand-potential functional
• Phase-field approach to polycrystalline solidification including heterogeneous and homogeneous nucleation
• Consistent multiphase-field theory for interface driven multidomain dynamics
• Remarks on some open problems in phase-field modelling of solidification
• Defects and multistability in eutectic solidification patterns
• Ternary eutectic dendrites: Pattern formation and scaling properties
• A computationally efficient and mechanically compatible multi-phase-field model applied to coherently stressed three-phase solids
• Review on phase transformations, fracture, chemical reactions, and other structural changes in inelastic materials