Results 1 to 10 of about 1,331,680 (246)
Soluble phase field model [PDF]
Physical Review E, 1997 13 pages, 8 figures, RevTeX 3.1, submitted to Physical Review ...
U. MARINI BETTOLO MARCONI +2 more
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Complex order parameter phase-field models derived from structural phase-field-crystal models [PDF]
Physical Review B, 2013 The phase-field-crystal (PFC) modeling paradigm is rapidly emerging as the model of choice when investigating materials phenomena with atomistic scale effects over diffusive time scales. Recent variants of the PFC model, so-called structural PFC (XPFC) models introduced by Greenwood et al., have further increased the capability of the method by ...
Ofori-Opoku, Nana +3 more
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Phase-Field Crystals with Elastic Interactions [PDF]
Physical Review Letters, 2006 We report on a novel extension of the recent phase-field crystal (PFC) method introduced in [Elder et al., Phys. Rev. Lett., Vol. 88, 245701:1-4 (2002)], which incorporates elastic interactions as well as crystal plasticity and diffusive dynamics. In our model, elastic interactions are mediated through wave modes that propagate on time scales many ...
Stefanovic, Peter +2 more
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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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Particles, phases, fields [PDF]
Banach Center Publications, 1996 The physical properties of particles and phasesare considered in connection with their description by means of the deformation of space-time. The analogy between particle trajectories and phase boundaries is discussed. The geometry and its curvature is related to the Clifford algebraic structure whose construction in terms of the theory of deformation ...
J. Rutkowski +3 more
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Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview [PDF]
, 2012 Here, we review the basic concepts and applications of the phase-field-crystal (PFC) method, which is one of the latest simulation methodologies in materials science for problems, where atomic- and microscales are tightly coupled. The PFC method operates
Artemev A. +31 more
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Phase field analysis of eutectic breakdown. [PDF]
, 2006 In this paper an isotropic multi-phase-field model is extended to include the effects of anisotropy and the spontaneous nucleation of an absent phase. This model is derived and compared against a published single phase model.
A. Wheeler +14 more
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Scale-free phase field theory of dislocations [PDF]
, 2014 According to recent experimental and numerical investigations if the characteristic size of a specimen is in the submicron size regime several new interesting phenomena emerge during the deformation of the samples.
Groma, Istvan +2 more
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Phase Field Modeling of Fast Crack Propagation [PDF]
, 2005 We present a continuum theory which predicts the steady state propagation of cracks. The theory overcomes the usual problem of a finite time cusp singularity of the Grinfeld instability by the inclusion of elastodynamic effects which restore selection of
A. A. Griffith +9 more
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Phase-field gradient theory [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2021 AbstractWe propose a phase-field theory for enriched continua. To generalize classical phase-field models, we derive the phase-field gradient theory based on balances of microforces, microtorques, and mass. We focus on materials where second gradients of the phase field describe long-range interactions.
Luis Espath, Victor Calo
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