Results 51 to 60 of about 1,384,898 (197)

A phase-field model of Hele-Shaw flows in the high viscosity contrast regime [PDF]

, 2003
A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field
A. Hernández-Machado, A. Hernández-Machado, A. Karma, A. M. Lacasta, C. Yeung, D. Bensimon, D. Jasnow, D. Jasnow, E. Ben-Jacob, E. Corvera Poiré, E. Mayoral, E. Pauné, E. Pitts, G. McFadden, G. Tryggvason, G. Tryggvason, H.G. Lee, H.G. Lee, J. Casademunt, J.L. Mozos, J.P. Gollub, J.W. McLean, K.R. Elder, M. Siegel, P. Tabeling, P.C. Hohenberg, P.G. Saffman, R. Almgren, R. Folch, R. Folch, R. Kobayashi, T. Biben, T.Y. Hou   +32 more
core   +6 more sources

Time-Fractional Phase Field Model of Electrochemical Impedance

Fractal and Fractional, 2021
In this paper, electrochemical impedance responses of subdiffusive phase transition materials are calculated and analyzed for one-dimensional cell with reflecting and absorbing boundary conditions.
Pavel E. L’vov, Renat T. Sibatov, Igor O. Yavtushenko, Evgeny P. Kitsyuk   +3 more
doaj   +1 more source

A Phase-Field Model of Spiral Dendritic Growth

, 1996
Domains of condensed-phase monolayers of chiral molecules exhibit a variety of interesting nonequilibrium structures when formed via pressurization.
A. A. Wheeler, A. Boesch, A. Karma, C. M. Knobler, E. Ben-Jacob, E. Brener, G. B. McFadden, G. Caginalp, Herbert Levine, J. B. Collins, J. S. Langer, J. V. Selinger, K. Stine, O. Penrose, R. Kam, R. Kobayashi, R. Kupferman, R. Kupferman, R. Viswanathan, R. Weis, Royce Kam, T. Fischer, V. M. Kaganer, W. M. Heckl, Xiao-Min Yang   +24 more
core   +2 more sources

Linking Buffer Microstructure to TRISO Nuclear Fuel Thermo-Mechanical Integrity: A Multiscale Modeling Study

Energies
Reliable performance of TRISO (tristructural isotropic) nuclear fuel depends on the interplay between its multilayer architecture and the buffer-layer microstructure, which are difficult to isolate experimentally.
Merve Gencturk, Karim Ahmed
doaj   +1 more source

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
doaj   +1 more source

Phase-field-crystal model for fcc ordering

, 2010
We develop and analyze a two-mode phase-field-crystal model to describe fcc ordering. The model is formulated by coupling two different sets of crystal density waves corresponding to and reciprocal lattice vectors, which are chosen to form triads so as
Adland, Ari, Karma, Alain, Wu, Kuo-An
core   +1 more source

Modeling ice cliff stability using a new Mohr–Coulomb-based phase field fracture model

Journal of Glaciology
Iceberg calving at glacier termini results in mass loss from ice sheets, but the associated fracture mechanics is often poorly represented using simplistic (empirical or elementary mechanics-based) failure criteria.
Theo Clayton, Ravindra Duddu, Tim Hageman, Emilio Martínez-Pañeda   +3 more
doaj   +1 more source

Description of hard sphere crystals and crystal-fluid interfaces: a critical comparison between density functional approaches and a phase field crystal model

, 2012
In materials science the phase field crystal approach has become popular to model crystallization processes. Phase field crystal models are in essence Landau-Ginzburg-type models, which should be derivable from the underlying microscopic description of ...
Berghoff, M., Dorosz, S., Nestler, B., Oettel, M., Schilling, T.   +4 more
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A multi-phase field model of planar dislocation networks [PDF]

, 2004
In this paper we extend the phase-field model of crystallographic slip of Ortiz (1999 J. Appl. Mech. ASME 66 289–98) and Koslowski et al (2001 J. Mech. Phys.
Koslowski, M., Ortiz, M.
core   +1 more source

Controlling crystal symmetries in phase-field crystal models

, 2010
We investigate the possibility to control the symmetry of ordered states in phase-field crystal models by tuning nonlinear resonances. In two dimensions, we find that a state of square symmetry as well as coexistence between squares and hexagons can be ...
Busse F H, Greenwood M Provatas N Rottler J, Jaatinen A, Kuo-An Wu, Mathis Plapp, Peter W Voorhees, Sakaguchi H, Tóth G I, Wu K-A Adland A Karma A   +8 more
core   +1 more source