Advances of and by phase-field modelling in condensed-matter physics

H Emmerich - Advances in Physics, 2008 - Taylor & Francis
Phase-field modelling is still a young discipline in condensed-matter physics, which
established itself for the class of systems that can be characterised by domains of different …

A microscopic theory for domain wall motion and its experimental verification in Fe-Al alloy domain growth kinetics

JW Cahn, SM Allen - Le Journal de Physique …, 1977 - jphyscol.journaldephysique.org
Résumé Nous proposons une théorie microscopique pour le mouvement des parois de
domaine antiphase courbées dans les structures ordonnées et nous trouvons que la vitesse …

[BOK][B] The diffuse interface approach in materials science: thermodynamic concepts and applications of phase-field models

H Emmerich - 2003 - books.google.com
Many inhomogeneous systems involve domains of well-de? ned phases se-rated by a
distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the …

Introduction to Stefan-type problems

A Visintin - Handbook of differential equations: evolutionary …, 2008 - Elsevier
The classical Stefan model is a free boundary problem that represents thermal processes in
phase transitions just by accounting for heat-diffusion and exchange of latent heat. The …

Exegesis of Sect. II and III. A from “Fundamentals of the Mechanics of Continua” by E. Hellinger

SR Eugster, F Dell'Isola - ZAMM‐Journal of Applied …, 2018 - Wiley Online Library
This is a second exegetic essay on the fundamental review article DIE ALLGEMEINEN
ANSÄTZE DER MECHANIK DER KONTINUA in the Encyklopädie der mathematischen …

Phase field modelling of grain boundary motion driven by curvature and stored energy gradients. Part I: theory and numerical implementation

G Abrivard, EP Busso, S Forest… - Philosophical …, 2012 - Taylor & Francis
During thermo-mechanical processing, the strain energy stored in the microstucture of an
FCC polycrystalline aggregate is generally reduced by physical phenomena controlled, at …

A thermodynamic approach to non-isothermal phase-field evolution in continuum physics

M Fabrizio, C Giorgi, A Morro - Physica D: Nonlinear Phenomena, 2006 - Elsevier
Phase transitions between two phases are modelled as space regions where an order
parameter, or phase field, changes smoothly. A thermodynamic approach is developed by …

Finite-deformation phase-field chemomechanics for multiphase, multicomponent solids

B Svendsen, P Shanthraj, D Raabe - Journal of the Mechanics and Physics …, 2018 - Elsevier
The purpose of this work is the development of a framework for the formulation of
geometrically non-linear inelastic chemomechanical models for a mixture of multiple …

Finite element simulations using symbolic computing

G Amberg, R Tönhardt, C Winkler - Mathematics and Computers in …, 1999 - Elsevier
In our work on modelling of phase change, fluid flow and heat transfer in materials
processes, it is crucial to have complete control of the mathematical models, and the …

[HTML][HTML] Conducting viscous bodies with phase transitions: Deriving Gurtin's postulate from the second law structure invariance

PM Mariano - Physica D: Nonlinear Phenomena, 2024 - Elsevier
We prove that the basic structures of phase-field models for phase-transitions in non-
isothermal setting can be derived all together from a unique principle requiring structure …