A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions

DOI10.1016/j.ijengsci.2011.09.005zbMath1423.80023OpenAlexW1984015193MaRDI QIDQ1659782

Luisa Molari, Mirko Maraldi, Diego Grandi

Publication date: 23 August 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.09.005

zbMATH Keywords

phase field modelthermodynamicsdiffusive phase transitiondisplacive phase transition

Mathematics Subject Classification ID

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

Related Items (7)

A polynomial-augmented RBF collocation method using fictitious centres for solving the Cahn-Hilliard equation ⋮ Phase field model for coupled displacive and diffusive microstructural processes under thermal loading ⋮ Unconditional convergence analysis of stabilized FEM-SAV method for Cahn-Hilliard equation ⋮ Comparison study on the different dynamics between the Allen-Cahn and the Cahn-Hilliard equations ⋮ A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations ⋮ Basic principles and practical applications of the Cahn-Hilliard equation ⋮ Verification of convergence rates of numerical solutions for parabolic equations

Uses Software

• DOLFIN

Cites Work

• Phase field model for coupled displacive and diffusive microstructural processes under thermal loading
• Modeling solid-solid phase transformations: from single crystal to polycrystal behavior
• Phase transitions in shape memory alloys: a non-isothermal Ginzburg-Landau model
• A mathematical model of dynamics of non-isothermal phase separation
• Continuum theory of thermally induced phase transitions based on an order parameter
• Unified thermodynamic framework for nonlocal/gradient continuum theories
• Thermomechanical and kinetic approaches to diffusional-displacive phase transitions in inelastic materials
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Hysteresis and phase transitions
• DOLFIN
• A mathematical model for the phase transitions in eutectoid carbon steel
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

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