Browse Technical Reports - Theoretical and Applied Mechanics (TAM) by Title

  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC)Cambridge University Press, 2005-12)
    This paper presents some extensions of two main problems of nonlinear compositional convection in horizontal mushy layers during the solidification of binary alloys that were recently investigated by the author (Riahi 2002, ...

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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2004-12)
    We consider the problem of nonlinear oscillatory convection in a horizontal mushy layer rotating about a vertical axis. We analyze the standing and traveling modes of oscillatory convection in the form of two-dimensional ...

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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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  • Bhattacharjee, Pratik; Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2005-12)
    Microgravity conditions pose unique challenges for fluid handling and heat transfer applications. By controlling (curtailing or augmenting) the buoyant and thermocapillary convection, the latter being the dominant convective ...

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  • Okhuysen, Brett S.; Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2005-01)
    We consider the problem of nonlinear steady buoyant convection in horizontal mushy layers during the solidification of binary alloys. We investigate both cases of zero vertical volume flux and constant pressure, referred ...

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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2003-06)
    The topic of this review article is about some aspect of flow during alloy solidification and the corresponding research development that has been accomplished in the recent years to determine the features of such flows, ...

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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2003-07)
    The topic of this review article is about some aspects of fluid dynamics during crystallization and the control of such flow by using external constraints such as rotation and magnetic field. Following a brief introduction ...

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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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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2002-09)
    This paper presents part 2 of the problem of nonlinear convection in horizontal mushy layers during the solidification of binary alloys. Part 1 of the problem dealt with only the oscillatory modes of convection, which were ...

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  • Dong, Fei; Riahi, Daniel N.; Hsui, Albert T. (Department of Theoretical and Applied Mechanics (UIUC), 2003-05)
    Compaction generally refers to the relative motion of fluid with respect to the deformable surroundings in a two-phase system. It has many geophysical and engineering applications, including liquefaction, formation of magma ...

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  • Kasimov, Aslan R.; Stewart, D. Scott (Department of Theoretical and Applied Mechanics (UIUC), 2003-11)
    In this work we investigate the dynamics of self-sustained detonation waves that have an embedded information boundary such that the dynamics is influenced only by a finite region adjacent to the lead shock. We introduce ...

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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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  • Wu, Yanhua; Christensen, Kenneth T. (2006-01)
    The present effort documents the population trends of prograde and retrograde spanwise vortex cores in wall turbulence outside the buffer layer. Large ensembles of instantaneous velocity fields are acquired by particle-image ...

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  • Fried, Eliot; Todres, Russell E. (Department of Theoretical and Applied Mechanics (UIUC), 2001-08)
    The isochoric extension of a cylindrical, nematic-elastomeric specimen is studied. Numerical solutions of the resulting boundary-value problem predict that, for sufficiently large extensions, there exists a region surrounding ...

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  • Dienberg, Clarence E.; Ott-Monsivais, Stephanie E.; Ranchero, Joni L.; Rzeszutko, Alyssa A.; Winter, Cara L. (Department of Theoretical and Applied Mechanics (UIUC), 2004-02)
    The Undergraduate Research Conference in Mechanics is open to all UIUC undergraduates pursuing independent and faculty-supervised research on any topic in the mechanical sciences. The conference is sponsored by the UIUC ...

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  • Stewart, D. Scott; Jackson, Thomas L. (Department of Theoretical and Applied Mechanics (UIUC), 2001-01)
    In the design of explosive systems the generic problem that one must consider is the propagation of a well-developed detonation wave sweeping through an explosive charge with a complex shape. At a given instant of time the ...

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  • Hill, Kimberly M.; Gioia, Gustavo; Amaravadi, Deepak R. (Department of Theoretical and Applied Mechanics (UIUC), 2004-12)
    We model the radial segregation patterns that form in a thin rotating drum partially filled with beads of two sizes. We predict that the waviness (or amplitude-to-wavelength ratio, denoted w) of a pattern should be subjected ...

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