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Molecular Crystals and Liquid Crystals Volume 201, 1991 - Issue 1
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Liquid Crystals

The Dynamical Behavior of Liquid Crystals: A Continuum Description through Generalized Brackets

Brian J. Edwards Department of Chemical Engineering and Center for Composite Materials, University of Delaware, Newark, Delaware, 19716
,
Antony N. Beris Department of Chemical Engineering and Center for Composite Materials, University of Delaware, Newark, Delaware, 19716
&
Miroslav Grmela Ecole Polytechnique de Montreal, Montreal, Quebec, H3C 3A7, Canada
Pages 51-86 | Received 25 Jul 1990, Accepted 27 Sep 1990, Published online: 24 Sep 2006

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ArvinderP. Singh & AlejandroD. Rey. (1995) Computer simulation of dynamics and morphology of discotic mesophases in extensional flows. Liquid Crystals 18:2, pages 219-230.
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P.K. Chan & A.D. Rey. (1993) A study on the relaxation phenomena of nematic polymers after cessation of shear flow. Liquid Crystals 13:6, pages 775-795.
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P.K. Chan & A.D. Rey. (1992) Simulation of transient banded textures of sheared nematic polymers. Liquid Crystals 12:6, pages 1025-1028.
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Articles from other publishers (29)

Pavlos S. Stephanou. (2024) Variable entanglement density constitutive rheological model for polymeric fluids. Rheologica Acta 63:5, pages 379-395.
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Antony N. Beris & Brian J. Edwards. (2024) Dissipation in nonequilibrium thermodynamics and its connection to the Rayleighian functional. Physics of Fluids 36:1.
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Brian J. Edwards & Antony N. Beris. (2023) Oldroyd’s convected derivatives derived via the variational action principle and their corresponding stress tensors. Journal of Non-Newtonian Fluid Mechanics 316, pages 105035.
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P. Pelech, K. Tůma, M. Pavelka, M. Šípka & M. Sýkora. (2022) On compatibility of the natural configuration framework with general equation for non-equilibrium reversible–irreversible coupling (GENERIC): Derivation of anisotropic rate-type models. Journal of Non-Newtonian Fluid Mechanics 305, pages 104808.
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J. Urzay, A. Doostmohammadi & J. M. Yeomans. (2017) Multi-scale statistics of turbulence motorized by active matter. Journal of Fluid Mechanics 822, pages 762-773.
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Patrick Ilg. (2016) Hydrodynamics with Spin Angular Momentum from Systematic Coarse Graining: A Tutorial Example. Journal of Non-Equilibrium Thermodynamics 41:2, pages 89-97.
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Alan M. Luo, Leonard M. C. Sagis, Hans Christian Öttinger, Cristiano De Michele & Patrick Ilg. (2015) Modelling the rheology of anisotropic particles adsorbed on a two-dimensional fluid interface. Soft Matter 11:22, pages 4383-4395.
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Marco Dressler. (2013) Shear flow properties of polymer blend models with and without droplet inertia. Journal of Non-Newtonian Fluid Mechanics 200, pages 147-164.
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Patrick Ilg. (2012) Enhanced Landau–de Gennes potential for nematic liquid crystals from a systematic coarse-graining procedure. Physical Review E 85:6.
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Marco Dressler. (2012) Inertial theories for dilute viscoelastic polymer blends with a volume preserving microstructure. Journal of Non-Newtonian Fluid Mechanics 173-174, pages 40-48.
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J.M. Kim, P.S. Stephanou, B.J. Edwards & B. Khomami. (2011) A mean-field anisotropic diffusion model for unentangled polymeric liquids and semi-dilute solutions: Model development and comparison with experimental and simulation data. Journal of Non-Newtonian Fluid Mechanics 166:11, pages 593-606.
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A. Ammar, E. Pruliere, F. Chinesta & M. Laso. (2009) Reduced numerical modeling of flows involving liquid-crystalline polymers. Journal of Non-Newtonian Fluid Mechanics 160:2-3, pages 140-156.
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Peter D. Olmsted. (2008) Perspectives on shear banding in complex fluids. Rheologica Acta 47:3, pages 283-300.
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Brian J. Edwards. 2005. Variational and Extremum Principles in Macroscopic Systems. Variational and Extremum Principles in Macroscopic Systems 131 156 .
Brian J Edwards & Antony N Beris. (2004) Derivation of a spectral pressureless formulation for direct numerical simulation of incompressible channel flows based on a functional formalism. Journal of Non-Newtonian Fluid Mechanics 120:1-3, pages 241-250.
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Marco Dressler & Brian J Edwards. (2004) Rheology of polymer blends with matrix-phase viscoelasticity and a narrow droplet size distribution. Journal of Non-Newtonian Fluid Mechanics 120:1-3, pages 189-205.
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Jun-ichi Fukuda, Holger Stark & Hiroshi Yokoyama. (2004) Wetting of a spherical particle by a nematic liquid crystal. Physical Review E 69:2.
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H. Stark & T. C. Lubensky. (2003) Poisson-bracket approach to the dynamics of nematic liquid crystals. Physical Review E 67:6.
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Brian J. Edwards. (2002) Evaluation of the Thermodynamic Consistency of Closure Approximations in Several Models Proposed for the Description of Liquid Crystalline Dynamics. Journal of Non-Equilibrium Thermodynamics 27:1.
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Pep Español. (2001) Thermohydrodynamics for a van der Waals fluid. The Journal of Chemical Physics 115:12, pages 5392-5403.
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Juan José de Pablo & Hans Christian Öttinger. (2001) An atomistic approach to general equation for the nonequilibrium reversible–irreversible coupling. Journal of Non-Newtonian Fluid Mechanics 96:1-2, pages 137-162.
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Brian J Edwards & Marco Dressler. (2001) A reversible problem in non-equilibrium thermodynamics: Hamiltonian evolution equations for non-equilibrium molecular dynamics simulations. Journal of Non-Newtonian Fluid Mechanics 96:1-2, pages 163-175.
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Antony N. Beris. (2001) Bracket formulation as a source for the development of dynamic equations in continuum mechanics. Journal of Non-Newtonian Fluid Mechanics 96:1-2, pages 119-136.
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Hans Christian Öttinger. (1998) General projection operator formalism for the dynamics and thermodynamics of complex fluids. Physical Review E 57:2, pages 1416-1420.
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Gabor Kiss & Roger S. Porter. 1998. Mechanical and Thermophysical Properties of Polymer Liquid Crystals. Mechanical and Thermophysical Properties of Polymer Liquid Crystals 342 406 .
Miroslav Grmela & Hans Christian Öttinger. (1997) Dynamics and thermodynamics of complex fluids.  I. Development of a general formalism. Physical Review E 56:6, pages 6620-6632.
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A. P. Fedoryako, M. N. Pivnenko, E. V. Popova & V. P. Seminozhenko. (1997) Free oscillations in a ferroelectric liquid crystal. Technical Physics Letters 23:4, pages 287-288.
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Alejandro D. Rey. (1995) Macroscopic theory of orientation transitions in the extensional flow of side-chain nematic polymers. Rheologica Acta 34:2, pages 119-131.
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A. D. Rey. (1993) Rheological predictions of a transversely isotropic fluid model with extensible microstructure. Rheologica Acta 32:5, pages 447-456.
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