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Computational Materials Science, 2022 A new 3D phase-field model is developed to investigate the evolution of the domain structure and phase transformation in a ferroelectric material near the morphotropic phase boundary (MPB) under the influence of external stimuli.
Fan, Ling +5 more
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Phase Field Simulation of Ferroelectrics with Cracks
Key Engineering Materials, 2011By employing a dipole defect model, two-dimensional phase field simulations of domain switching in the crack tip vicinity of a crack embedded in a relaxor ferroelectric single crystal, which was subjected to mechanical loading and electric field, have been carried out.
Soh, AK, Zhao, XF
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Phase-Field Simulation of Solidification
Annual Review of Materials Research, 2002▪ Abstract An overview of the phase-field method for modeling solidification is presented, together with several example results. Using a phase-field variable and a corresponding governing equation to describe the state (solid or liquid) in a material as a function of position and time, the diffusion equations for heat and solute can be solved ...
W. J. Boettinger +3 more
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Phase field approach for simulating failure of viscoelastic elastomers
European Journal of Mechanics - A/Solids, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roberto Brighenti +2 more
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Phase-Field Simulations of Crystal Growth
AIP Conference Proceedings, 2010This course gives an elementary introduction to the phase‐field method and to its applications for the modeling of crystal growth. Two different interpretations of the phase‐field variable are given and discussed. It can be seen as a physical order parameter that characterizes a phase transition, or as a smoothed indicator function that tracks domain ...
Mathis Plapp +3 more
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Effect of solutes on dislocation motion —a phase-field simulation
International Journal of Plasticity, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, S. Y. +3 more
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Isogeometric Phase-Field Simulation of Boiling
2016In this work we consider the Navier–Stokes–Korteweg equations, a diffuse-interface model describing liquid–vapor phase transitions. A numerical scheme for this model is constructed based on functional entropy variables and a new time integration concept.
Ju Liu, Thomas J. R. Hughes
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Modeling Melt Convection in Phase-Field Simulations of Solidification
Journal of Computational Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beckermann, C. +4 more
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A Scalable Implicit Solver for Phase Field Crystal Simulations
2013 IEEE International Symposium on Parallel & Distributed Processing, Workshops and Phd Forum, 2013The phase field crystal equation (PFC) is a popular model for simulating micro-structures in materials science and is very computationally expensive to solve. A highly scalable solver for PFC modeling is presented in this paper. The equation is discredited with a stabilized implicit finite difference method and the time step size is adaptively ...
Chao Yang 0002, Xiao-Chuan Cai
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Phase-field-crystal simulation of nonequilibrium crystal growth
Physical Review E, 2014By using the phase field crystal model, we simulate the morphological transition of the crystal growth of equilibrium crystal shape, dendrite, and spherical crystal shape. The relationship among growth morphology, velocity, and density distribution is investigated.
Sai, Tang +6 more
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