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

  • 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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  • Chen, Xuemei; Fried, Eliot (Department of Theoretical and Applied Mechanics (UIUC), 2005-10)
    A linear stability analysis of the Rayleigh–Taylor problem for an incompressible fluid undergoing a liquid-liquid phase transformation is presented. Both inviscid and linearly viscous fluids are considered and interfacial ...

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  • Sofronis, Petros; Robertson, Ian M.; Liang, Yueming; Teter, David F.; Aravas, Nikolaos (Department of Theoretical and Applied Mechanics (UIUC)Los Alamos National Laboratory (LANL), Los Alamos, NM, 2001-09)
    This paper summarizes recent work at the University of Illinois on the fundamental mechanisms of hydrogen embrittlement. Our approach combines experimental and theoretical methods. We describe the theoretical work on hydride ...

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  • Berfield, Thomas A.; Ong, Ryan J.; Payne, David A.; Sottos, Nancy R. (Department of Theoretical and Applied Mechanics (UIUC), 2005-04)
    Piezoelectric properties of three sol-gel derived Pb(Zr0.53Ti0.47)O3 thin film samples integrated on to Pt/Ti/SiO 2//Si substrates are investigated to delineate the influence of residual stress on the strain-field response ...

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  • Bagchi, Prosenjit; Balachandar, S. (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    The interaction of an isolated spherical particle with an isotropic turbulent cross-flow is considered using direct numerical simulations (DNS). The particle Reynolds number is varied from about 50 to 600 and the particle ...

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  • Brown, Eric N.; White, Scott R.; Sottos, Nancy R. (Department of Theoretical and Applied Mechanics (UIUC), 2005-01)
    As a first step towards a new crack healing methodology for cyclic loading, this paper examines two promising crack-tip shielding mechanisms during fatigue of a microcapsule toughened epoxy. Artificial crack closure is ...

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  • Brown, Eric N.; White, Scott R.; Sottos, Nancy R. (Department of Theoretical and Applied Mechanics (UIUC), 2005-01)
    Successful arrest and retardation of fatigue cracks is achieved with an in situ self-healing epoxy matrix composite that incorporates microencapsulated dicyclopentadiene (DCPD) healing agent and Grubbs’ first generation ...

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