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

  • Dolbow, John E.; Fried, Eliot; Ji, Huidi (Department of Theoretical and Applied Mechanics (UIUC), 2004-01)
    We present a theory for the chemically-induced 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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  • Bhattacharjee, Pratik; Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2003-02)
    Effect of rotation on nonlinear solutal convection during protein cystallization is modelled and studied computationally under both normal and microgravity conditions. The axis of the externally imposed rotation, which is ...

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  • Fried, Eliot (Department of Theoretical and Applied Mechanics (UIUC), 2003-05)
    By studying the asympototic connection between phase-field and sharp-interface theories for transitions between two phases distinguished only by their constant free-energy densities, we show that the configurational force ...

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  • Fried, Eliot; Gurtin, Morton E. (2006-02)
    We here develop a continuum-mechanical formulation and generalization of the Navier–Stokes-alpha equation based on a general framework for fluid-dynamical theories involving gradient dependencies (Fried & Gurtin 2005). ...

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  • Kessler, Michael R.; White, Scott R. (Department of Theoretical and Applied Mechanics (UIUC), 2002-02)
    The cure kinetics of polydicyclopentadiene (pDCPD) prepared by ring-opening metathesis polymerization with three different concentrations of Grubbs' catalyst was examined using differential scanning calirimetry (DSC). The ...

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  • Landgraf, R.W. (Department of Theoretical and Applied Mechanics (UIUC), 1968-11)
    Changes in deformation resistance are studied during completely reversed strain cycling of steels hardened to yield strengths in excess of 200 ksi by quenching and tempering, quenching and deforming at elevated temperature, ...

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  • Fried, Eliot; Todres, Russell E. (Department of Theoretical and Applied Mechanics (UIUC), 2001-10)
    We present a theory for uniaxial nematic elastomers with variable asphericity. As an application of the theory, we consider the time-independent, 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), 2003-11)
    We consider the question of whether a nematic elastomer cross-linked 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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  • Li, Fang; Leckband, Deborah E. (Department of Theoretical and Applied Mechanics (UIUC), 2006-03)
    We study theoretically the forced separation of two adhesive surfaces linked via a large number of parallel non-convalent bonds. We use a Brownian dynamic simulation to describe the kinetics and compute the force–distance ...

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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2004-07)
    We consider the problem of nonlinear steady convective flow in a horizontal dendrite layer during alloy solidification. We analyze the effect of permeability of the layer on the stationary modes of convection in the form ...

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  • Bhattacharjee, Pratik; Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2003-05)
    Effect of rotation on surface tension gradient driven flow, which is also known as Marangoni convective flow, during protein crystallization is modelled and studied computationally under microgravity conditions, where the ...

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  • Bagchi, Prosenjit; Balachandar, S. (Department of Theoretical and Applied Mechanics (UIUC), 2002-10)
    A direct numerical simulation (DNS) is used to study the effect of a freestream isotropic turbulent flow on the drag and lift forces on a spherical particle. The particle diameter is about 1.5 to 10 times the Kolmogorov ...

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  • Damljanovic, Vesna; Weaver, Richard L. (Department of Theoretical and Applied Mechanics (UIUC), 2001-05)
    We consider wave propagation in slender elastic waveguides. With aim at finding all vibration modes of such bodies, we develop a theoretical framework for application of energy principles and subsequent discretization of ...

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  • Panat, Rahul P.; Hsia, K. Jimmy; Cahill, David G. (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    Deformation mechanisms involving mass transport by stress driven diffusion influence a large number of technological problems. We study the formation of undulations on surfaces of stressed films at high temperature by ...

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  • Panat, Rahul P.; Hsia, K. Jimmy (Department of Theoretical and Applied Mechanics (UIUC), 2003-05)
    Reliable life prediction models for the durability of thermal barrier coatings require the identification of the relative importance of various mechanisms responsible for the failure of the coatings at high temperatures. ...

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  • Brown, Eric N.; White, Scott R.; Sottos, Nancy R. (Department of Theoretical and Applied Mechanics (UIUC), 2004-04)
    The addition of liquid-filled urea-formaldehyde (UF) microcapsules to an epoxy matrix leads to significant reduction in fatigue crack growth rate and corresponding increase in fatigue life. Mode-I fatigue crack propagation ...

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  • Fulton, John M.; Hussain, Syed; Lai, Joseph H.; Ly, Michael E.; McGough, Sophie A.; Miller, Gina M.; Oats, Renee; Shipton, Lyle A.; Shreeman, Paul K.; Widrevitz, Daniel S.; Zimmermann, Elizabeth A. (Department of Theoretical and Applied Mechanics (UIUC), 2004-12)
    The Mechanics of Complex Materials is a ten-week undergraduate research program hosted by the Department of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign. The dual purposes of this ...

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  • Brown, Eric N.; Sottos, Nancy R.; White, Scott R. (Department of Theoretical and Applied Mechanics (UIUC), 2001-11)
    Inspired by biological systems in which damage triggers an autonomic healing response, we have developed a polymer composite materials that can heal itself when cracked. This paper summarizes the self-healing concept for ...

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  • Fried, Eliot; Sellers, Shaun (Department of Theoretical and Applied Mechanics (UIUC), 2003-09)
    The recently proposed neo-classical theory for nematic elastomers is a molecular-statistical generalization of classical Gaussian network theory. The resulting free-energy 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), 2005-04)
    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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