skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Rapid multiphase-field model development using a modular free energy based approach with automatic differentiation in MOOSE/MARMOT

Journal Article · · Computational Materials Science
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2];  [3]
  1. Idaho National Lab. (INL), Idaho Falls, ID (United States). Fuels Modeling and Simulation Department
  2. Idaho National Lab. (INL), Idaho Falls, ID (United States). Modeling and Simulation Department
  3. Idaho National Lab. (INL), Idaho Falls, ID (United States). Fuels Modeling and Simulation Department ; Pennsylvania State Univ., University Park, PA (United States). Mechanical and Nuclear Engineering Department

In this paper, we present a novel rapid phase-field model development capability using a modular free energy based approach in the finite element based MOOSE framework. The phase-field equations are implemented in a general form as separate code form the model specific data such as the thermodynamic free energy density and mobility functions. This isolates researchers from complicated code and allows them to focus on implementing new material models. In addition, using a native symbolic differentiation algorithm, all required derivatives of the free energy density are automatically determined, removing sources for potential human error, and guaranteeing optimally preconditioned equation systems through fully populated Jacobian matrices. Free energy terms contributing to a phase-field model are abstracted into self contained objects that can be combined at will at simulation run time. Combining multiple chemical and mechanical free energy contributions allows the construction of coupled phase-field, mechanics, and multiphase models. Through just-in-time compilation, we greatly reduce the computational time required to evaluate the differentiated expressions. Lastly, we demonstrate the new capability on a variety of example simulations.

Research Organization:
Idaho National Laboratory (INL), Idaho Falls, ID (United States)
Sponsoring Organization:
USDOE Office of Nuclear Energy (NE)
Grant/Contract Number:
AC07-05ID14517
OSTI ID:
1465939
Alternate ID(s):
OSTI ID: 1414841
Report Number(s):
INL/JOU-17-41181-Rev000
Journal Information:
Computational Materials Science, Vol. 132, Issue C; ISSN 0927-0256
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 56 works
Citation information provided by
Web of Science

References (34)

Phase-Field Models for Microstructure Evolution journal August 2002
An introduction to phase-field modeling of microstructure evolution journal June 2008
Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method journal February 1995
Phase-field model for isothermal phase transitions in binary alloys journal May 1992
Phase-field model for binary alloys journal December 1999
Diffusion-controlled grain growth in two-phase solids journal August 1997
Quantitative analysis of grain boundary properties in a generalized phase field model for grain growth in anisotropic systems journal July 2008
Computation of dendrites using a phase field model journal June 1993
FiPy: Partial Differential Equations with Python journal May 2009
Phase-field simulation during directional solidification of a binary alloy using adaptive finite element method journal September 2005
An object-oriented finite element framework for multiphysics phase field simulations journal January 2012
Applications of semi-implicit Fourier-spectral method to phase field equations journal February 1998
The Materials Commons: A Collaboration Platform and Information Repository for the Global Materials Community journal July 2016
Ground state structures in ordered binary alloys with second neighbor interactions journal March 1972
Free Energy of a Nonuniform System. I. Interfacial Free Energy journal February 1958
Matrix-Free Methods for Stiff Systems of ODE’s journal June 1986
Jacobian-free Newton–Krylov methods: a survey of approaches and applications journal January 2004
libMesh : a C++ library for parallel adaptive mesh refinement/coarsening simulations journal November 2006
A quantitative comparison between and elements for solving the Cahn–Hilliard equation journal March 2013
On computational differentiation journal January 1998
Automatic Differentiation of Computer Programs journal June 1980
Secure Hash Standard report August 2015
The Term ‘Regular Solution’ journal November 1951
General method for incorporating CALPHAD free energies of mixing into phase field models: Application to the α-zirconium/δ-hydride system journal December 2015
On the analytic calculation of critical size for alpha prime precipitation in FeCr journal August 2013
Phase-field simulations of intragranular fission gas bubble evolution in UO2 under post-irradiation thermal annealing journal May 2013
Quantitative phase-field modeling for two-phase solidification process involving diffusion in the solid journal October 2010
Quantitative phase-field modeling of two-phase growth journal July 2005
Consistent multiphase-field theory for interface driven multidomain dynamics journal November 2015
Taper-Free and Vertically Oriented Ge Nanowires on Ge/Si Substrates Grown by a Two-Temperature Process journal December 2011
Combining phase field approach and homogenization methods for modelling phase transformation in elastoplastic media journal January 2009
Multiscale Modeling of Precipitate Microstructure Evolution journal March 2002
Multiscale modeling of θ′ precipitation in Al–Cu binary alloys journal June 2004
Physics-based multiscale coupling for full core nuclear reactor simulation journal October 2015

Cited By (6)

Synergistic Effect of Graphene Oxide for Impeding the Dendritic Plating of Li journal February 2018
Prediction of Thermal Residual Stress and Microstructure in Direct Laser Metal Deposition via a Coupled Finite Element and Multiphase Field Framework journal November 2019
Growth behavior of preferentially scalloped intermetallic compounds at extremely thin peripheral Sn/Cu interface journal January 2019
Unit mechanisms of fission gas release: Current understanding and future needs journal June 2018
Bifurcation and Pattern Symmetry Selection in Reaction-Diffusion Systems with Kinetic Anisotropy journal May 2019
A Sublattice Phase-Field Model for Direct CALPHAD Database Coupling text January 2021