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A Phase-Field Framework for Brittle Fracture in Quasi-Crystals
International Journal of Solids and Structures, 2022Most of quasi-crystals are brittle at room temperature due to their specific cluster structures. Phase-field fracture models have demonstrated a powerful ability to predict brittle crack evolution. This paper develops a phase-field framework for modeling macroscopic brittle fracture in quasi-crystal solids.
Peidong Li +4 more
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Phase-field model of crystal grains
Journal of Crystal Growth, 2001We introduce a two-dimensional phase field model designed to describe the dynamics of crystalline grains. The phenomenological free energy is a function of two order parameters. They reflect the degree of orientational order as well as the predominant local orientation of the crystal.
Alexander E. Lobkovsky, James A. Warren
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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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Bridging the phase-field and phase-field crystal approaches for anisotropic material systems
The European Physical Journal Special Topics, 2014In this paper the amplitude representation of the anisotropic phase-field crystal (APFC) model recently proposed as a generalized model for isotropic as well as anisotropic crystal lattice systems is developed. The relationship between the amplitude equations and the standard phase-field model for solidification of pure substances with elasticity ...
J. Kundin, M.A. Choudhary, H. Emmerich
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Phase field crystal study of the crystallization modes within the two-phase region
Chinese Physics B, 2014Using the phase field crystal approach, the crystallization process within the liquid–solid coexistence region is investigated for a square lattice on an atomic scale. Two competing growth modes, i.e., the diffusion-controlled growth through long-range atomic migration in liquid and the diffusionless growth through local atom rearrangement, which give ...
Tao Yang +4 more
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Extended phase diagram of the three-dimensional phase field crystal model
Journal of Physics: Condensed Matter, 2010We determine the phase diagram of the phase field crystal model in three dimensions by using numerical free energy minimization methods. Previously published results, based on single mode approximations, have indicated that in addition to the uniform (liquid) phase, there would be regions of stability of body-centered cubic, hexagonal and stripe phases.
Ala-Nissilä Tapio, Jaatinen Akusti
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Modified phase-field-crystal model for solid-liquid phase transitions
Physical Review E, 2015A modified phase-field-crystal (PFC) model is proposed to describe solid-liquid phase transitions by reconstructing the correlation function. The effects of fitting parameters of our modified PFC model on the bcc-liquid phase diagram, numerical stability, and solid-liquid interface properties during planar interface growth are examined carefully.
Can, Guo +5 more
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A phase field crystal theory of the kinematics of dislocation lines
Journal of the Mechanics and Physics of Solids, 2022Luiza AnghelutĂ +2 more
exaly
Phase field model for precipitates in crystals
2008Oxygen precipitate caused by oxygen supersaturation is the most common and important defects in Czochralski (CZ) silicon. The presence of oxygen precipitate in silicon wafer has both harmful and beneficial effects on the microelectronic device production.
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