Results 11 to 20 of about 3,852,824 (191)
Rothe’s Method for Phase Field Problem
Trends in Computational and Applied Mathematics, 2007 In this paper, a phase-field model is considered. Analysis of a time discretization for an initial-boundary value problem for this phase-field model is presented. Convergence is proved and existence, uniqueness and regularity results are derived.
C. Vaz
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Phase-Field Crystal Method for Bilayer Graphene
NanomaterialsBilayer graphene has been a subject of intense study in recent years. Its most common structure is AB (Bernal) stacking, where one layer is shifted relative to the other, leading to distinct electronic behaviors compared to the less stable AA stacking or
Heting Qiao, Kai Liu
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Sharp Phase Field Method [PDF]
Physical Review Letters, 2018 Phase field modelling offers an extremely general framework to predict microstructural evolutions in complex systems. However, its computational implementation requires a discretisation scheme with a grid spacing small enough to preserve the continuous character of the theory. We present here a new formulation, which is intrinsically discrete, in which
Finel, Alphonse +5 more
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A phase-field method for three-phase flows with icing
Journal of Computational Physics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wenqiang +5 more
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Phase Field Methods and Dislocationss
MRS Proceedings, 2000 We present a general formalism for incorporating dislocations in Phas Field methods. This formalism is based on the elastic equiva;ence betweem a dislocation loop and a platelet inclusion of specific stress-free strain related to the loop Burgers vector and normal.
Rodney, D., Finel, A.
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Analysis of Spinodal Decomposition in Al-Zn and Al-Zn-Cu Alloys Using the Nonlinear Cahn-Hilliard Equation [PDF]
Materials Research, 2017 The phase field model based on the nonlinear Cahn-Hilliard equation was applied to analyze the spinodal decomposition process in Al-Zn and Al-Zn-Cu alloys. Partial differential equations were solved using the explicit finite difference method for the Al-
Victor Manuel Lopez-Hirata +4 more
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An Efficient Implementation of Phase Field Method with Explicit Time Integration [PDF]
Journal of Applied and Computational Mechanics, 2020 The phase field method integrates the Griffith theory and damage mechanics approach to predict crack initiation, propagation, and branching within one framework.
Wenlong Zhang, Ala Tabiei
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Nonlinear Transient Field Problems with Phase Change using the Boundary Element Method [PDF]
, 2003 Peer ...
M.E. Honnor +16 more
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Phase field methods and dislocations [PDF]
Acta Materialia, 2003 Abstract We present a general formalism for incorporating dislocations in Phase Field methods (PFM) based on the elastic equivalence between a dislocation loop and a platelet inclusion of specific stress-free strain. Dislocations may be elastically and dynamically coupled to any other field such as a concentration field.
D. Rodney, Y. Le Bouar, A. Finel
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Phase separation in fluids exposed to spatially periodic external fields [PDF]
, 2011 We consider the liquid-vapor type phase transition for fluids confined within spatially periodic external fields. For a fluid in d=3 dimensions, the periodic field induces an additional phase, characterized by large density modulations along the field ...
A. J. Archer +6 more
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