A level-set approach to the computation of twinning and phase-transition dynamics

DOI10.1006/jcph.1998.6179zbMath0936.74052OpenAlexW1996336488MaRDI QIDQ1287983

Phoebus Rosakis, Thomas Yizhao Hou, Philippe G. LeFloch

Publication date: 18 May 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6179

zbMATH Keywords

Hamilton-Jacobi equationfinite difference discretizationlevel-set methodjump conditionstopological changesnonconvex potentialstored-energy functionmartensitic crystalscusp formationmicrostructure refinementneedle growthsharp-interface model of twinningspontaneous tip splitting

Mathematics Subject Classification ID

Related Items (11)

Continuum modeling of twinning, amorphization, and fracture: theory and numerical simulations ⋮ Comparison of a rapidely converging phase field model for interfaces in solids with the Allen-Cahn model ⋮ The concept of material forces in phase transition problems within the level-set framework ⋮ Unconventional phase field simulations of transforming materials with evolving microstructures ⋮ Solving nonconvex energy minimization problems in martensitic phase transitions with a mesh-free deep learning approach ⋮ A level set approach to domain wall kinetics and domain patterning in elastic ferroelectrics ⋮ A phase field model of deformation twinning: nonlinear theory and numerical simulations ⋮ The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques ⋮ Numerical methods with controlled dissipation for small-scale dependent shocks ⋮ Computation of dynamical phase transitions in solids ⋮ The computational modelling of branching fine structures in constrained crystals

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