Browse by Author "Fried, Eliot"

  • Fried, Eliot; Korchagin, Vladimir A.; Todres, Russell E. (American Institute of Physics, 2003-12-22)
    We use a continuum model to investigate the isochoric axial contraction and expansion of a right circular cylindrical specimen composed of a nematic elastomer that is cross-linked in a uniaxial state and then annealed. ...

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  • Fried, Eliot; Korchagin, Vladimir A.; Todres, Russell E. (Department of Theoretical and Applied Mechanics (UIUC), 2003-07)
    We use a continuum model to investigate the isochoric axial contraction and expansion of a right circular cylindrical specimen composed of a nematic elastomer that is cross-linked in a uniaxial state and then annealed. ...

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  • Dolbow, John E.; Fried, Eliot; Ji, Huidi (Department of Theoretical and Applied Mechanics (UIUC), 2004-01)
    We present a theory for the chemically-induced volume transitions of hydrogels. Consistent with experimental observations, we account for a sharp interface separating swelled and collapsed phases of the underlying polymer ...

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  • Fried, Eliot (Department of Theoretical and Applied Mechanics (UIUC), 2003-05)
    By studying the asympototic connection between phase-field and sharp-interface theories for transitions between two phases distinguished only by their constant free-energy densities, we show that the configurational force ...

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  • Fried, Eliot; Gurtin, Morton E. (2006-02)
    We here develop a continuum-mechanical formulation and generalization of the Navier–Stokes-alpha equation based on a general framework for fluid-dynamical theories involving gradient dependencies (Fried & Gurtin 2005). ...

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  • Fried, Eliot; Todres, Russell E. (Department of Theoretical and Applied Mechanics (UIUC), 2001-10)
    We present a theory for uniaxial nematic elastomers with variable asphericity. As an application of the theory, we consider the time-independent, isochoric extension of a right circular cylinder. Numerical solutions to the ...

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  • Fried, Eliot; Roy, Bidhan C. (Department of Theoretical and Applied Mechanics (UIUC), 2003-11)
    We consider the question of whether a nematic elastomer cross-linked in an isotropic state and then subjected to an isochoric, homogenous deformation can exhibit a disclination. The theory that we use allows for the polymer ...

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  • Fried, Eliot; Sellers, Shaun (Department of Theoretical and Applied Mechanics (UIUC), 2003-09)
    The recently proposed neo-classical theory for nematic elastomers is a molecular-statistical generalization of classical Gaussian network theory. The resulting free-energy density predicts the phenomenon of soft elasticity—the ...

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  • Anderson, Daniel M.; Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.; McFadden, Geoffrey B. (Department of Theoretical and Applied Mechanics (UIUC), 2005-04)
    We develop a complete set of equations governing the evolution of a sharp interface separating two fluid phases undergoing transformation. In addition to the conventional balances for mass, linear momentum, and energy these ...

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  • Fried, Eliot; Roy, Bidhan C. (Department of Theoretical and Applied Mechanics (UIUC), 2002-07)
    Working with the context of a theory proposed recently by Fried et al. (2001), we consider a one-dimensional problem involving granular mixture of K > 2 discrete sizes bounded below by an impermeable base, above by an ...

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  • Fried, Eliot; Sellers, Shaun (American Institute of Physics, 2006)
    In a nematic elastomer the deformation of the polymer network chains is coupled to the orientational order of the mesogenic groups. Statistical arguments have derived the so-called neoclassical free energy that models this ...

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  • Fried, Eliot; Sellers, Shaun (Department of Theoretical and Applied Mechanics (UIUC), 2005-08)
    In a nematic elastomer the deformation of the polymer network chains is coupled to the orientational order of the mesogenic groups. Here we use the neo-classical model for this coupling supplemented by the usual Frank ...

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  • Ji, Huidi; Mourad, Hashem; Fried, Eliot; Dolbow, John E. (Department of Theoretical and Applied Mechanics (UIUC), 2004-12)
    We present a continuum model for thermally-induced volume transitions in stimulus-responsive hydrogels (SRHs). The framework considers the transition as driven through the motion of a sharp interface separating swollen and ...

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  • Fried, Eliot; Todres, Russell E. (Department of Theoretical and Applied Mechanics (UIUC), 2005-10)
    Extending Andreussi and Gurtin’s (1977) pioneering work on the wrinkling of a free surface, we investigate the wrinkling stability of an incompressible elastic-like half-space whose surface is proximate to a contactor. ...

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  • Fried, Eliot; Todres, Russell E. (Department of Theoretical and Applied Mechanics (UIUC), 2002-06)
    We use a continuum model to investigate the isochoric radial expansion of a right circular cylindrical specimen composed of a nematic elastomer that is cross-linked in a uniaxial state and then annealed. Numerical solutions ...

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  • Kim, Tae-Yeon; Dolbow, John E.; Fried, Eliot (Department of Theoretical and Applied Mechanics (UIUC), 2006-04)
    This work concerns the development of a finite-element method for discretizing a recent second-gradient theory for the flow of incompressible fluids. The new theory gives rise to a flow equation involving higher-order ...

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  • Dolbow, John E.; Fried, Eliot; Ji, Huidi (Department of Theoretical and Applied Mechanics (UIUC), 2004-06)
    We present a strategy for obtaining numerical solutions to a system of nonlinear, coupled evolution equations describing volume transitions in stimulus-responsive hydrogels (SRHs). The theory underlying our sharp-interface ...

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  • Carlson, Donald E.; Fried, Eliot; Tortorelli, Daniel A. (Department of Theoretical and Applied Mechanics (UIUC), 2002-10)
    When a body is subject to simple internal constraints, the deformation gradient must belong to a certain manifold. This is in contrast to the situation in the unconstrained case, where the deformation gradient is in an ...

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  • Fried, Eliot; Sellers, Shaun (Department of Theoretical and Applied Mechanics (UIUC), 2005-05)
    Nematic elastomers exhibit large, spontaneous shape changes at the transition from the high-temperature isotropic phase to the low-temperature nematic phase. These finite deformations are studied here in the context of a ...

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  • Dolbow, John E.; Fried, Eliot; Shen, Amy Q. (Department of Theoretical and Applied Mechanics (UIUC), 2002-02)
    We consider the question of whether compressible nematic gels are capable of sustaining hedgehogs (radially symmetric point defects). As a basis for this work, we rely on a free-energy density that extends the conventional ...

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