A phase-field approach to non-isothermal transitions

DOI10.1016/j.mcm.2007.11.001zbMath1145.80304OpenAlexW1982819535MaRDI QIDQ949575

Angelo Morro

Publication date: 21 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.11.001

zbMATH Keywords

phase transitionsphase fieldClapeyron's equation

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22)

Related Items

A phase-field model for liquid-vapor transitions ⋮ Evolution equations and thermodynamic restrictions for dissipative solids ⋮ Continuum thermodynamics and phase-field models ⋮ A phase-field model for liquid-gas mixtures: mathematical modelling and discontinuous Galerkin discretization ⋮ A phase-field model for quasi-incompressible solid-liquid transitions ⋮ Mathematical modeling of phase transition and separation in fluids: a unified approach ⋮ The Cahn-Hilliard-de Gennes and generalized Penrose-Fife models for polymer phase separation

Cites Work

• Modeling of biological materials.
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• The thermodynamics of elastic materials with heat conduction and viscosity
• Continuum theory of thermally induced phase transitions based on an order parameter
• On the relation between the standard phase-field model and a ``thermodynamically consistent phase-field model
• Thermomechanical and kinetic approaches to diffusional-displacive phase transitions in inelastic materials
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• A thermodynamic approach to non-isothermal phase-field evolution in continuum physics
• The Ginzburg-Landau equation as a consequence of the Second Law
• Method of Lagrange multipliers for exploitation of the entropy principle
• Phase-field models for fluid mixtures
• The world of the complex Ginzburg-Landau equation
• The effects of nonlocality on the evolution of higher order fluxes in nonequilibrium thermodynamics
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• A Thermomechanical Model for Energetic Materials with Phase Transformations
• A Diffuse Interface Model for Alloys with Multiple Components and Phases
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• Thermodynamics of mixtures and phase field theory
• Unnamed Item
• Unnamed Item
• Unnamed Item