Academic literature on the topic 'Phase-Field Models (PFM)'

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Journal articles on the topic "Phase-Field Models (PFM)"

1

Li, Jingfa, Dukui Zheng, and Wei Zhang. "Advances of Phase-Field Model in the Numerical Simulation of Multiphase Flows: A Review." Atmosphere 14, no. 8 (2023): 1311. http://dx.doi.org/10.3390/atmos14081311.

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The phase-field model (PFM) is gaining increasing attention in the application of multiphase flows due to its advantages, in which the phase interface is treated as a narrow layer and phase parameters change smoothly and continually at this thin layer. Thus, the construction or tracking of the phase interface can be avoided, and the bulk phase and phase interface can be simulated integrally. PFM provides a useful alternative that does not suffer from problems with either the mass conservation or the accurate computation of surface tension. In this paper, the state of the art of PFM in the nume
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2

Sidharth, P. C., and B. N. Rao. "A Review on phase-field modeling of fracture." Proceedings of the 12th Structural Engineering Convention, SEC 2022: Themes 1-2 1, no. 1 (2022): 449–56. http://dx.doi.org/10.38208/acp.v1.534.

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In cases with complicated crack topologies, the computational modeling of failure processes in materials owing to fracture based on sharp crack discontinuities fails. Diffusive crack modeling based on the insertion of a crack phase-field can overcome this. The phase-field model (PFM) portrays the fracture geometry in a diffusive manner, with no abrupt discontinuities. Unlike discrete fracture descriptions, phase-field descriptions do not need numerical monitoring of discontinuities in the displacement field. This considerably decreases the complexity of implementation. These qualities enable P
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3

Chen, Ming, Xiao Dong Hu, and Dong Ying Ju. "Phase-Field Simulation of Binary Alloy Crystal Growth Prepared by a Fluid Flow." Materials Science Forum 833 (November 2015): 11–14. http://dx.doi.org/10.4028/www.scientific.net/msf.833.11.

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Phase field method (PFM) was employed to investigate the crystal growth of Mg-Al alloy, on the basis of binary alloy model, the fluid field equation was coupled into the phase-field models, and the marker and cell (MAC) method was used in the numerical calculation of micro structural pattern. In the cast process, quantitative comparison of different anisotropy values that predicted the dendrite evolution were discussed in detail, and when the fluid flow rate reaches a high value, we can see the remelting of dendrite arms.
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4

Karim, Eaman T., Miao He, Ahmed Salhoumi, Leonid V. Zhigilei, and Peter K. Galenko. "Kinetics of solid–liquid interface motion in molecular dynamics and phase-field models: crystallization of chromium and silicon." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2205 (2021): 20200320. http://dx.doi.org/10.1098/rsta.2020.0320.

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The results of molecular dynamics (MD) simulations of the crystallization process in one-component materials and solid solution alloys reveal a complex temperature dependence of the velocity of the crystal–liquid interface featuring an increase up to a maximum at 10–30% undercooling below the equilibrium melting temperature followed by a gradual decrease of the velocity at deeper levels of undercooling. At the qualitative level, such non-monotonous behaviour of the crystallization front velocity is consistent with the diffusion-controlled crystallization process described by the Wilson–Frenkel
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Jeon, Seoyeon, and Hyunjoo Choi. "Trends in Materials Modeling and Computation for Metal Additive Manufacturing." journal of Korean Powder Metallurgy Institute 31, no. 3 (2024): 213–19. http://dx.doi.org/10.4150/jpm.2024.00150.

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Additive Manufacturing (AM) is a process that fabricates products by manufacturing materials according to a three-dimensional model. It has recently gained attention due to its environmental advantages, including reduced energy consumption and high material utilization rates. However, controlling defects such as melting issues and residual stress, which can occur during metal additive manufacturing, poses a challenge. The trial-and-error verification of these defects is both time-consuming and costly.Consequently, efforts have been made to develop phenomenological models that understand the in
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6

Deng, Jinghui, Jie Zhou, Tangzhen Wu, Zhengliang Liu, and Zhen Wu. "Review and Assessment of Fatigue Delamination Damage of Laminated Composite Structures." Materials 16, no. 24 (2023): 7677. http://dx.doi.org/10.3390/ma16247677.

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Fatigue delamination damage is one of the most important fatigue failure modes for laminated composite structures. However, there are still many challenging problems in the development of the theoretical framework, mathematical/physical models, and numerical simulation of fatigue delamination. What is more, it is essential to establish a systematic classification of these methods and models. This article reviews the experimental phenomena of delamination onset and propagation under fatigue loading. The authors reviewed the commonly used phenomenological models for laminated composite structure
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Li, Chang, Shuchao Li, Jiabo Liu, Yichang Sun, Yuhao Wang, and Fanhong Kong. "Study on Mechanism of Microstructure Refinement by Ultrasonic Cavitation Effect." Coatings 14, no. 11 (2024): 1462. http://dx.doi.org/10.3390/coatings14111462.

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During the solidification process of the alloy, the temperature lies in the range between the solid-phase line and the liquidus. Dendrite growth exhibits high sensitivity to even slight fluctuations in temperature, thereby significantly influencing the tip growth rate. The increase in temperature can result in a reduction in the rate of tip growth, whereas a decrease in temperature can lead to an augmentation of the tip growth rate. In cases where there is a significant rise in temperature, dendrites may undergo fracture and subsequent remelting. Within the phenomenon of ultrasonic cavitation,
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8

Zhang, Shidong, Kai Wang, Shangzhe Yu, et al. "Multiscale and Multiphysical Numerical Simulations of Solid Oxide Cell (SOC)." ECS Meeting Abstracts MA2023-01, no. 54 (2023): 144. http://dx.doi.org/10.1149/ma2023-0154144mtgabs.

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Electrochemical applications play a key role for the topic of “green hydrogen” for the de-carbonization of the energy and mobility sectors. Electrochemical systems and processes, including fuel cells and electrolysers, have witnessed several benefits over conventional combustion-based technologies currently being widely used in power plants and vehicles. The ceramic high-temperature technologies by means of SOC exhibits high efficiencies, with a thermoelectric conversion efficiency as high as 60% and a total efficiency of up to 90% in fuel cell operation and even higher in electrolysis mode. T
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9

Steinberg, A. B., F. Maucher, S. V. Gurevich, and U. Thiele. "Exploring bifurcations in Bose–Einstein condensates via phase field crystal models." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 11 (2022): 113112. http://dx.doi.org/10.1063/5.0101401.

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To facilitate the analysis of pattern formation and the related phase transitions in Bose–Einstein condensates, we present an explicit approximate mapping from the nonlocal Gross–Pitaevskii equation with cubic nonlinearity to a phase field crystal (PFC) model. This approximation is valid close to the superfluid–supersolid phase transition boundary. The simplified PFC model permits the exploration of bifurcations and phase transitions via numerical path continuation employing standard software. While revealing the detailed structure of the bifurcations present in the system, we demonstrate the
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10

Yoon, Sungha, Darae Jeong, Chaeyoung Lee, et al. "Fourier-Spectral Method for the Phase-Field Equations." Mathematics 8, no. 8 (2020): 1385. http://dx.doi.org/10.3390/math8081385.

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In this paper, we review the Fourier-spectral method for some phase-field models: Allen–Cahn (AC), Cahn–Hilliard (CH), Swift–Hohenberg (SH), phase-field crystal (PFC), and molecular beam epitaxy (MBE) growth. These equations are very important parabolic partial differential equations and are applicable to many interesting scientific problems. The AC equation is a reaction-diffusion equation modeling anti-phase domain coarsening dynamics. The CH equation models phase segregation of binary mixtures. The SH equation is a popular model for generating patterns in spatially extended dissipative syst
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