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Phase-Field Microstructure Modeling
2009Abstract This article discusses the fundamental aspects of phase-field microstructure modeling. It describes the evolution of microstructure modeling, including nucleation, growth, and coarsening. The article reviews two approaches used in the modeling nucleation of microstructure: the Langevin force approach and explicit nucleation ...
Chen Shen, Yunzhi Wang
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Phase-field model for binary alloys
Physical Review E, 1999We present a phase-field model (PFM) for solidification in binary alloys, which is found from the phase-field model for a pure material by direct comparison of the variables for a pure material solidification and alloy solidification. The model appears to be equivalent with the Wheeler-Boettinger-McFadden (WBM) model [A.A. Wheeler, W. J.
S G, Kim, W T, Kim, T, Suzuki
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A phase-field model for strength and fracture analyses of fiber-reinforced composites
Composites Science And Technology, 2019A phase-field model for brittle fracture is proposed and evaluated for strength and fracture analyses of composites. In addition to the elastic properties, this approach makes use of only the fracture toughness and the strength of the material.
J. Espadas-Escalante +2 more
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Displacive phase-field crystal model
Physical Review Materials, 2020A phase-field crystal model that spontaneously undergoes displacive phase transitions is introduced by explicitly studying a two-component two-dimensional square crystal reminiscent of a perovskite. When the intercomponent free energy is a simple polynomial, the crystal undergoes displacive transitions in the $\ensuremath{\langle}10\ensuremath{\rangle}$
Eli Alster +2 more
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Phase field models for step flow
Physical Review E, 2003The relation between phase field and discontinuous models for crystal steps is analyzed. Different formulations of the kinetic boundary conditions of the discontinuous model are first presented. We show that (i) step transparency, usually interpreted as the possibility for adatoms to jump through steps, may be seen as a modification of the equilibrium ...
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2005
The phase-field method is a powerful simulation tool to describe xxx the complex evolution of interfaces in a wide range of contexts without explicitly tracking these interfaces. Its main application to date has been to problems in materials science where the evolution of interfaces and defects in the interior or on the surface of a material has a ...
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The phase-field method is a powerful simulation tool to describe xxx the complex evolution of interfaces in a wide range of contexts without explicitly tracking these interfaces. Its main application to date has been to problems in materials science where the evolution of interfaces and defects in the interior or on the surface of a material has a ...
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A phase field model of capillarity
Physics of Fluids, 1995The phenomenological derivation of a phase field model of capillarity that accounts for the structure of an interfacial layer formed by two immiscible incompressible liquids is addressed. A rheological expression for the reversible component of capillary stresses is obtained in terms of the free energy of a binary fluid, which depends on the absolute ...
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Phase-field modeling of multi-phase solidification
Computer Physics Communications, 2002A phase-field model for a general class of multi-phase metallic alloys is now proposed which describes both multi-phase solidification phenomena as well as polycrystalline grain structures. The model serves as a computational method to simulate the motion and kinetics of multiple phase boundaries and enables the visualization of the diffusion processes
Nestler, Britta, Wheeler, Adam A.
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An iteration scheme for phase field model for cohesive fracture and its implementation in Abaqus
Engineering Fracture Mechanics, 2018Recently, phase field modelling of fracture has gained much attentions because of its benefits in predicting cracks initiation and propagation without any ad-hoc criterion.
Peng Zhang +3 more
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Phase-field model of eutectic growth
Physical Review E, 1994A phase-field model which describes the solidification of a binary eutectic alloy with a simple symmetric phase diagram is introduced and the sharp-interface limit of this model is explored both analytically and numerically.
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