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

  • 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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  • Balachandar, S.; Adrian, Ronald J.; Ha, M. Y.; Yoon, Hyun-Sik; Hill, David F. (Department of Theoretical and Applied Mechanics (UIUC), 2003-08)
    We consider scaling of flow within a stirred tank with increasing Reynolds number. Experimental results obtained from two different tanks of diameter 152.5 and 292.1 mm, with a Rushton turbine operating at a wide range of ...

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  • Raju, Renchi; Balachandar, S.; Hill, David F.; Adrian, Ronald J. (Department of Theoretical and Applied Mechanics (UIUC), 2003-08)
    We consider the question of scaling of flow within a stirred tank with increasing Reynolds number. Experimental results obtained from two different tanks of diameter 15.25 cm and 29.21 cm with a Rushton turbine operating ...

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  • Wu, Yanhua; Christensen, Kenneth T. (2006-01)
    Particle-image velocimetry experiments are performed to study the response of smooth-wall turbulent channel flow to a short fetch of roughness (ten outer length scales long). The roughness studied herein is replicated from ...

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  • Natrajan, Vinay K.; Christensen, Kenneth T. (2006-01)
    The present effort documents the relationship between dominant subgrid-scale energy transfer events and coherent motions within the log layer of wall turbulence. Instantaneous velocity fields in the streamwise–wall-normal ...

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  • Panat, Rahul P.; Hsia, K. Jimmy; Oldham, Joseph W. (Department of Theoretical and Applied Mechanics (UIUC), 2003-12)
    Bond coat (BC) surface rumpling has been identified as one of the important mechanisms that can lead to failure of the thermal barrier coatings. The driving force behind rumpling—whether the stresses in the thermally grown ...

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  • Fried, Eliot; Gurtin, Morton E. (Department of Theoretical and Applied Mechanics (UIUC), 2005-04)
    Using a nonstandard version of the principle of virtual power, we develop a gradient theory for incompressible flows at small length scales. In addition to a generalization of the Navier–Stokes equations involving higher-order ...

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  • Pushkin, Dmitri O.; Aref, Hassan (Department of Theoretical and Applied Mechanics (UIUC), 2001-07)
    A theory of stationary particle size distributions in coagulating systems with particle injection at small sizes is constructed. The size distributions have the form of power laws. Under rather general assumptions, the ...

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  • Fried, Eliot (Department of Theoretical and Applied Mechanics (UIUC), 2006-06)
    We present a sharp-interface theory for phase transformations between the isotropic and uniaxial nematic phases of a flowing liquid crystal. These equations include a supplemental interface condition which expresses the ...

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  • Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E. (Department of Theoretical and Applied Mechanics (UIUC), 2003-12)
    We derive a supplemental evolution equation for an interface between the nematic and isotropic phases of a liquid crystal when flow is neglected. Our approach is based on the notion of configurational force. As an application, ...

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  • Chaïeb, Sahraoui; Sato-Matsuo, Eriko; Tanaka, Toyoichi (Department of Theoretical and Applied Mechanics (UIUC), 2000-07)
    Polymer gels can undergo a volume phase transition (either continuous or discontinuous) when an external condition such as temperature or solvent composition is altered. This phase transition is either a shrinking or a ...

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  • Fried, Eliot; Sellers, Shaun (Department of Theoretical and Applied Mechanics (UIUC), 2005-09)
    The occurrence of striped domains in stretched nematic elastomers has been suggested as evidence for soft elasticity. Conversely, the neo-classical model of Bladon, Terentjev and Warner, which displays soft elasticity, ...

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  • Adrian, Ronald J.; Balachandar, S.; Liu, Zi-Chao (Department of Theoretical and Applied Mechanics (UIUC), 2001-09)
    Recent studies of the structure of wall turbulence have lead to the development of a conceptual model that validates and integrates many elements of previous models into a relatively simple picture based on self-assembling ...

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  • Tomkins, Christopher D.; Adrian, Ronald J. (Department of Theoretical and Applied Mechanics (UIUC), 2002-08)
    Spanwise structure and growth mechanisms in a turbulent boundary layer are investigated experimentally. PIV measurements are obtained in the streamwise–spanwise (x–z) plane from the buffer layer to the top of the logarithmic ...

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