Numerical investigation of the recrystallization kinetics by means of the KWC phase-field model with special order parameters

2017 ◽  
Vol 25 (4) ◽  
pp. 045008 ◽  
Author(s):  
Julia Kundin
Keyword(s):  
Numerical Investigation ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Order Parameters ◽  
Recrystallization Kinetics ◽  
Special Order

scholarly journals Coarse-graining for fast dynamics of order parameters in the phase-field model

2018 ◽  
Vol 376 (2113) ◽  
pp. 20170203 ◽  
Author(s):  
D. Jou ◽  
P. K. Galenko
Keyword(s):  
Master Equation ◽  
Thermodynamic Equilibrium ◽  
Phase Field ◽  
Order Parameter ◽  
Field Model ◽  
Local Thermodynamic Equilibrium ◽  
Phase Field Model ◽  
Coarse Graining ◽  
Order Parameters ◽  
Coarse Grained

In standard descriptions, the master equation can be obtained by coarse-graining with the application of the hypothesis of full local thermalization that is equivalent to the local thermodynamic equilibrium. By contrast, fast transformations proceed in the absence of local equilibrium and the master equation must be obtained with the absence of thermalization. In the present work, a non-Markovian master equation leading, in specific cases of relaxation to local thermodynamic equilibrium, to hyperbolic evolution equations for a binary alloy, is derived for a system with two order parameters. One of them is a conserved order parameter related to the atomistic composition, and the other one is a non-conserved order parameter, which is related to phase field. A microscopic basis for phenomenological phase-field models of fast phase transitions, when the transition is so fast that there is not sufficient time to achieve local thermalization between two successive elementary processes in the system, is provided. In a particular case, when the relaxation to local thermalization proceeds by the exponential law, the obtained coarse-grained equations are related to the hyperbolic phase-field model. The solution of the model equations is obtained to demonstrate non-equilibrium phenomenon of solute trapping which appears in rapid growth of dendritic crystals. This article is part of the theme issue ‘From atomistic interfaces to dendritic patterns’.

Numerical investigation into pressure-assisted sintering using fully coupled mechano-diffusional phase-field model

2021 ◽  
pp. 111253
Author(s):  
Zhao Zhipeng ◽  
Zhang Xiaomin ◽  
Zhang Hengjia ◽  
Tang Hongwu ◽  
Liang Yuan
Keyword(s):  
Numerical Investigation ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Fully Coupled

scholarly journals A constraint-free phase field model for ferromagnetic domain evolution

2014 ◽  
Vol 470 (2171) ◽  
pp. 20140517 ◽  
Author(s):  
Min Yi ◽  
Bai-Xiang Xu
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Constitutive Relations ◽  
Phase Field Model ◽  
Ferromagnetic Materials ◽  
Order Parameters ◽  
Force Balance ◽  
Configurational Force ◽  
Force System ◽  
Domain Evolution

A continuum constraint-free phase field model is proposed to simulate the magnetic domain evolution in ferromagnetic materials. The model takes the polar and azimuthal angles ( ϑ 1 , ϑ 2 ), instead of the magnetization unit vector m ( m 1 , m 2 , m 3 ), as the order parameters. In this way, the constraint on the magnetization magnitude can be exactly satisfied automatically, and no special numerical treatment on the phase field evolution is needed. The phase field model is developed from a thermodynamic framework which involves a configurational force system for ϑ 1 and ϑ 2 . A combination of the configurational force balance and the second law of thermodynamics leads to thermodynamically consistent constitutive relations and a generalized evolution equation for the order parameters ( ϑ 1 , ϑ 2 ). Beneficial from the constraint-free model, the three-dimensional finite-element implementation is straightforward, and the degrees of freedom are reduced by one. The model is shown to be capable of reproducing the damping-dependent switching dynamics, and the formation and evolution of domains and vortices in ferromagnetic materials under the external magnetic or mechanical loading. Particularly, the calculated out-of-plane component of magnetization in a vortex is verified by the corresponding experimental results, as well as the motion of the vortex under a magnetic field.

Numerical Investigation of Crystallization Process in One Phase-Field Model

2018 ◽  
Author(s):  
Andrei V. Ryabov ◽  
Ksenia V. Vasiuchkova ◽  
Natalya A. Manakova
Keyword(s):  
Numerical Investigation ◽  
Phase Field ◽  
Crystallization Process ◽  
Field Model ◽  
Phase Field Model

A cohesive phase-field model for ductile fracture

2020 ◽  
Author(s):  
Brandon Talamini
Keyword(s):  
Ductile Fracture ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model

MARMOT Phase-Field Model for the U-Si System

2016 ◽  
Author(s):  
Larry Kenneth Aagesen ◽  
Daniel Schwen
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model

scholarly journals Phase-field modeling of grain evolutions in additive manufacturing from nucleation, growth, to coarsening

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Min Yang ◽  
Lu Wang ◽  
Wentao Yan
Keyword(s):  
Additive Manufacturing ◽  
Phase Field ◽  
Field Model ◽  
Three Dimensional ◽  
Phase Field Model ◽  
Nucleation Theory ◽  
Experimental Result ◽  
Classical Nucleation Theory ◽  
Validation Experiment ◽  
Powder Particles

AbstractA three-dimensional phase-field model is developed to simulate grain evolutions during powder-bed-fusion (PBF) additive manufacturing, while the physically-informed temperature profile is implemented from a thermal-fluid flow model. The phase-field model incorporates a nucleation model based on classical nucleation theory, as well as the initial grain structures of powder particles and substrate. The grain evolutions during the three-layer three-track PBF process are comprehensively reproduced, including grain nucleation and growth in molten pools, epitaxial growth from powder particles, substrate and previous tracks, grain re-melting and re-growth in overlapping zones, and grain coarsening in heat-affected zones. A validation experiment has been carried out, showing that the simulation results are consistent with the experimental results in the molten pool and grain morphologies. Furthermore, the grain refinement by adding nanoparticles is preliminarily reproduced and compared against the experimental result in literature.

scholarly journals Numerical study of thermo-hydro-mechanical responses of in situ heating test with phase-field model

2021 ◽  
Vol 138 ◽  
pp. 104542
Author(s):  
Zhan Yu ◽  
Jian-Fu Shao ◽  
Minh-Ngoc Vu ◽  
Gilles Armand
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Numerical Study ◽  
Phase Field Model ◽  
Mechanical Responses ◽  
In Situ Heating ◽  
Heating Test
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