Phase field model for coupled displacive and diffusive microstructural processes under thermal loading

DOI10.1016/j.jmps.2011.04.017zbMath1270.74159arXiv1010.1871OpenAlexW1979971159MaRDI QIDQ361439

Garth N. Wells, Mirko Maraldi, Luisa Molari

Publication date: 29 August 2013

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1871

zbMATH Keywords

thermodynamicsphase field modelsdiffusive transformationsdisplacive transformations

Mathematics Subject Classification ID

Displacive transformations in solids (74N10)

Related Items

Liquid-vapor phase transition: thermomechanical theory, entropy stable numerical formulation, and boiling simulations ⋮ A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions ⋮ Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains ⋮ Formulation and numerical exploitation of mixed variational principles for coupled problems of Cahn-Hilliard-type and standard diffusion in elastic solids ⋮ Unified form language

Uses Software

• DOLFIN

Cites Work

• A \(C^0\) discontinuous Galerkin formulation for Kirchhoff plates
• Fine phase mixtures as minimizers of energy
• A second order splitting method for the Cahn-Hilliard equation
• A mathematical model of dynamics of non-isothermal phase separation
• The relaxation of a double-well energy
• Gradient elasticity and nonstandard boundary conditions
• A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions
• Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Thermodynamics and the possibility of spatial interaction in elastic materials
• Optimizations for quadrature representations of finite element tensors through automated code generation
• DOLFIN
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• M₄C₃precipitation in Fe–C–Mo–V steels and relationship to hydrogen trapping
• Automated Code Generation for Discontinuous Galerkin Methods
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• A discontinuous Galerkin method for the Cahn-Hilliard equation