Mathematical and numerical aspects of a phase-field approach to critical nuclei morphology in solids

DOI10.1007/S10915-008-9207-7zbMath1203.65203OpenAlexW2140494519MaRDI QIDQ618407

Long-Qing Chen, Qiang Du, Lei Zhang

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9207-7

zbMATH Keywords

anisotropic elasticitynucleationcritical nucleiphase field simulationsolid state phase transformation

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Stefan problems, phase changes, etc. (80A22) Statistical mechanics of solids (82D20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Analysis of microstructure in solids (74N15)

Related Items (4)

Constrained high-index saddle dynamics for the solution landscape with equality constraints ⋮ A stochastic model of grain boundary dynamics: A Fokker–Planck perspective ⋮ A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters ⋮ Diffuse-interface approach to predicting morphologies of critical nucleus and equilibrium structure for cubic to tetragonal transformations

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