Evolution of phase boundaries by configurational forces

DOI10.1007/s00205-007-0054-8zbMath1117.74045OpenAlexW2160771099MaRDI QIDQ2641874

Peicheng Zhu, Hans-Dieter Alber

Publication date: 17 August 2007

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-007-0054-8

zbMATH Keywords

martensitic transformationsglobal solvabilityspace of functions of bounded variation

Mathematics Subject Classification ID

Related Items (21)

Numerical and analytical aspects of the pinning of martensitic phase boundaries ⋮ Traveling waves to models of solid-solid phase transitions driven by configurational forces ⋮ Comparison of a rapidely converging phase field model for interfaces in solids with the Allen-Cahn model ⋮ Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model ⋮ Viscosity solutions to a model for solid-solid phase transitions driven by material forces ⋮ Asymptotics and numerical efficiency of the Allen-Cahn model for phase interfaces with low energy in solids ⋮ A model for brittle fracture based on the hybrid phase field model ⋮ Global existence of weak solution to a phase‐field model on martensitic phase transformations ⋮ Global weak solutions to a phase-field model for motion of grain boundaries ⋮ Solvability via viscosity solutions for a model of phase transitions driven by configurational forces ⋮ Global solutions to a model with Dirichlet boundary conditions for interface motion by interface diffusion ⋮ Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces ⋮ Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order ⋮ Weak solutions to a model with elasticity energy for electrochemically induced phase transitions in lithium-ion batteries ⋮ New Phase-Field Models with Applications to Materials Genome Initiative ⋮ Regularity of solutions to a model for solid-solid phase transitions driven by configurational forces ⋮ Viscosity solutions to a new phase-field model with Neumann boundary condition for solid-solid phase transitions ⋮ Spherically symmetric solutions to a model for phase transitions driven by configurational forces ⋮ Weak solutions to an initial-boundary value problem for a continuum equation of motion of grain boundaries ⋮ Weak solutions and simulations to a new phase-field model with periodic boundary ⋮ Global solutions to a phase-field model with logarithmic potential for lithium-ion batteries

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