Results 1 to 10 of about 3,816,155 (125)
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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Constitutive modeling of two phase materials using the Mean Field method for homogenization [PDF]
, 2010 A Mean-Field homogenization framework for constitutive modeling of materials involving two distinct elastic-plastic phases is presented. With this approach it is possible to compute the macroscopic mechanical behavior of this type of materials based on ...
Geijselaers, Hubert J.M. +1 more
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Combining phase field crystal methods with a Cahn-Hilliard model for binary alloys [PDF]
, 2017 During phase transitions certain properties of a material change, such as composition field and lattice-symmetry distortions. These changes are typically coupled, and affect the microstructures that form in materials.
Balakrishna, Ananya Renuka +1 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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Solving the inverse Ising problem by mean-field methods in a clustered phase space with many states [PDF]
, 2016 In this work we explain how to properly use mean-field methods to solve the inverse Ising problem when the phase space is clustered, that is many states are present. The clustering of the phase space can occur for many reasons, e.g.
Decelle, Aurélien +1 more
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A difference-free conservative phase-field Lattice Boltzmann method
Computers & Fluids, 2023 We propose an innovative difference-free scheme that combines the one-fluid lattice Boltzmann method (lBM) with the conservative phase-field (CPF) lBM to effectively solve large-scale two-phase fluid flow problems. The difference-free scheme enables the derivation of the derivative of the order parameter and the normal vector through the moments of the
Chunheng Zhao, Saumil Patel, Taehun Lee
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The diffuse Nitsche method: Dirichlet constraints on phase-field boundaries [PDF]
, 2017 We explore diffuse formulations of Nitsche's method for consistently imposing Dirichlet boundary conditions on phase-field approximations of sharp domains.
Nguyen, Lam H. +4 more
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Phase Field Methods for Binary Recovery [PDF]
, 2014 We consider the inverse problem of recovering a binary function from blurred and noisy data. Such problems arise in many applications, for example image processing and optimal control of PDEs. Our formulation is based on the Mumford-Shah model, but with a phase field approximation to the perimeter regularisation.
Brett, Charles +2 more
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Phase-field method for epitaxial kinetics on surfaces [PDF]
The Journal of Chemical Physics, 2018 We present a procedure for simulating epitaxial growth based on the phase-field method. We consider a basic model in which growth is initiated by a flux of atoms onto a heated surface. The deposited atoms diffuse in the presence of this flux and eventually collide to form islands which grow and decay by the attachment and detachment of migrating atoms ...
Joel Posthuma de Boer +3 more
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The Structure of the Aoki Phase at Weak Coupling [PDF]
, 2001 A new method to determine the phase diagram of certain lattice fermionic field theories in the weakly coupled regime is presented. This method involves a new type of weak coupling expansion which is multiplicative rather than additive in nature and ...
Kenna, R., Pinto, C., Sexton, J. C.
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