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

  • Bhattacharjee, Pratik; Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2005-12)
    In this paper some previous studies related to those for the flow control aspects of the hydrodynamics of magnetic fluid and field are reviewed first and recent mathematical approaches for the corresponding systems of the ...
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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2005-10)
    This paper is divided into two parts. In the first part physical meanings and some other aspects of wind and the driving forces are reviewed. These includes types of driving forces, sources for wind production, boundary ...
    untranslated PDF (243KB)
  • Christensen, Kenneth T.; Adrian, Ronald J. (Department of Theoretical and Applied Mechanics (UIUC), 2001-12)
    Acceleration is a fundamental quantity in fluid mechanics because it reflects the sum of all forces (pressure and viscous) present within the flow. However, measurements of acceleration have been difficult to achieve ...
    untranslated PDF (5MB)
  • Keller, Michael W.; Sottos, Nancy R. (Department of Theoretical and Applied Mechanics (UIUC), 2005-09)
    The elastic modulus and failure behavior of poly(urea-formaldehyde) shelled microcapsules were determined through single-capsule compression tests. Capsules were tested both dry and immersed in a fluid isotonic with the ...
    untranslated PDF (2MB)
  • Costello, George A. (Department of Theoretical and Applied Mechanics (UIUC), 2003-03)
    This presentation on the mechanics of wire rope will be divided into two parts: a theory for the static and dynamic response of wire rope, and practical examples in the form of consulting problems with which I have been ...
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  • Brown, Eric N.; White, Scott R.; Sottos, Nancy R. (Department of Theoretical and Applied Mechanics (UIUC), 2003-02)
    Microencapsulated dicyclopentadiene (DCPD) healing agent and Grubbs' Ru catalyst are incorporated into an epoxy matrix to produce a polymer composite capable of selfhealing. The fracture toughness and healing efficiency ...
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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. ...
    untranslated PDF (1MB)
  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    This is a review article on modeling convective flows due to either buoyancy force or surface tension gradient force during protein crystallization that have been studied in the past. The modeling and computational studies ...
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  • Kuznetsov, Igor R.; Stewart, D. Scott (Department of Theoretical and Applied Mechanics (UIUC), 2000-10)
    An approach is presented for modeling the thermal expansion boundary layer in energetic materials such as solid propellants and explosives during their combustion. A thermodynamically consistent system of conservation laws ...
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  • Stewart, D. Scott; Tang, Kung-Chyun; Yoo, Sunhee; Brewster, M. Quinn; Kuznetsov, Igor R. (Department of Theoretical and Applied Mechanics (UIUC), 2004-10)
    Here we consider the problem of efficiently computing the stable burn-back of a solid rocket motor when the motor is in the quasi-steady burning regime of operation. When the motor is modeled as a cavity that is filled ...
    untranslated PDF (470KB)
  • 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 ...
    untranslated PDF (452KB)
  • 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 ...
    untranslated PDF (2MB)
  • 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 ...
    untranslated PDF (619KB)
  • 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, ...
    untranslated PDF (237KB)
  • 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 ...
    untranslated PDF (240KB)
  • 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 ...
    untranslated PDF (585KB)