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Fried, Eliot; Korchagin, Vladimir A.; Todres, Russell E. (American Institute of Physics, 20031222)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 crosslinked 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), 200307)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 crosslinked 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), 200401)We present a theory for the chemicallyinduced 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), 200305)By studying the asympototic connection between phasefield and sharpinterface theories for transitions between two phases distinguished only by their constant freeenergy densities, we show that the configurational force ...
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Fried, Eliot; Gurtin, Morton E. (200602)We here develop a continuummechanical formulation and generalization of the Navier–Stokesalpha equation based on a general framework for fluiddynamical theories involving gradient dependencies (Fried & Gurtin 2005). ...
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Fried, Eliot; Todres, Russell E. (Department of Theoretical and Applied Mechanics (UIUC), 200110)We present a theory for uniaxial nematic elastomers with variable asphericity. As an application of the theory, we consider the timeindependent, 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), 200311)We consider the question of whether a nematic elastomer crosslinked 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), 200309)The recently proposed neoclassical theory for nematic elastomers is a molecularstatistical generalization of classical Gaussian network theory. The resulting freeenergy 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), 200504)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), 200207)Working with the context of a theory proposed recently by Fried et al. (2001), we consider a onedimensional 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 socalled neoclassical free energy that models this ...
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Fried, Eliot; Sellers, Shaun (Department of Theoretical and Applied Mechanics (UIUC), 200508)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 neoclassical 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), 200412)We present a continuum model for thermallyinduced volume transitions in stimulusresponsive 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), 200510)Extending Andreussi and Gurtin’s (1977) pioneering work on the wrinkling of a free surface, we investigate the wrinkling stability of an incompressible elasticlike halfspace whose surface is proximate to a contactor. ...
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Fried, Eliot; Todres, Russell E. (Department of Theoretical and Applied Mechanics (UIUC), 200206)We use a continuum model to investigate the isochoric radial expansion of a right circular cylindrical specimen composed of a nematic elastomer that is crosslinked in a uniaxial state and then annealed. Numerical solutions ...
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Kim, TaeYeon; Dolbow, John E.; Fried, Eliot (Department of Theoretical and Applied Mechanics (UIUC), 200604)This work concerns the development of a finiteelement method for discretizing a recent secondgradient theory for the flow of incompressible fluids. The new theory gives rise to a flow equation involving higherorder ...
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Dolbow, John E.; Fried, Eliot; Ji, Huidi (Department of Theoretical and Applied Mechanics (UIUC), 200406)We present a strategy for obtaining numerical solutions to a system of nonlinear, coupled evolution equations describing volume transitions in stimulusresponsive hydrogels (SRHs). The theory underlying our sharpinterface ...
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Carlson, Donald E.; Fried, Eliot; Tortorelli, Daniel A. (Department of Theoretical and Applied Mechanics (UIUC), 200210)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), 200505)Nematic elastomers exhibit large, spontaneous shape changes at the transition from the hightemperature isotropic phase to the lowtemperature 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), 200202)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 freeenergy density that extends the conventional ...
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Now showing items 120 of 36