Browse Dept. of Theoretical and Applied Mechanics (1926-2006) by Title

  • Fried, Eliot; Gurtin, Morton E.; Shen, Amy Q. (Department of Theoretical and Applied Mechanics (UIUC), 2005-09)
    We develop a complete set of equations governing the evolution of a sharp interface separating a volatile-solvent/nonvolatile-surfactant solution from a vapor atmosphere. In addition to a sorption isotherm equation and the ...
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  • Stewart, D. Scott; Kasimov, Aslan R. (Department of Theoretical and Applied Mechanics (UIUC), 2004-10)
    We address the problem of generalizing sonic conditions to a three-dimensional unsteady self-sustained detonation wave. The conditions are shown to be the characteristic compatibility conditions on the exceptional surface ...
    untranslated PDF (318KB)
  • Stewart, D. Scott; Kasimov, Aslan R. (Society of Industrial and Applied Mathematics, 2005)
    A steady planar self-sustained detonation has a sonic surface in the reaction zone that resides behind the lead shock. In this work we address the problem of generalizing sonic conditions for a three-dimensional unsteady ...
    untranslated PDF (230KB)
  • Kasimov, Aslan R.; Stewart, D. Scott (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    In this work we discuss the application of an evolution equation that we have developed for the dynamics of a slowly evolving weakly-curved detonation to a problem of direct detonation initiation. Despite the relative ...
    untranslated PDF (464KB)
  • Brown, Eric N. (Dept. of Theoretical and Applied Mechanics (UIUC), 1998)
    The thermoelastic properties of several common woven glass/epoxy substrate materials were characterized in both the warp and fill directions. Five common commercially pressed cores (1080, 2116, 2313, 3313, 7628) were ...
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  • Wang, Junlan; Sottos, Nancy R.; Weaver, Richard L. (Department of Theoretical and Applied Mechanics (UIUC), 2003-04)
    Laser induced stress waves are used to characterize intrinsic interfacial strength of thin films under both tensile and mixed-mode conditions. A short-duration compressive pulse induced by pulsed-laser ablation of a ...
    untranslated PDF (647KB)
  • Boyland, Philip L.; Stremler, Mark A.; Aref, Hassan (Department of Theoretical and Applied Mechanics (UIUC), 2002-10)
    Topological techniques are used to study the motions of systems of point vortices in the infinite plane, in singly-periodic arrays, and in doubly-periodic lattices. Restricting to three vortices with zero net circulation, ...
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  • Carlson, Donald E.; Fried, Eliot; Sellers, Shaun (Department of Theoretical and Applied Mechanics (UIUC)Springer, 2002-03)
    The remarkable ability of nematic elastomers to exist in multiple stable equilibrium configurations in the absence of force and energy cost is known as soft elasticity. Here, we determine all of the soft states that are ...
    untranslated PDF (539KB)
  • Stewart, D. Scott (Department of Theoretical and Applied Mechanics (UIUC), 2001-10)
    Condensed phase explosives used in conventional explosive systems have a charge size on the order of a meter or a sizable fraction of a meter. This paper addresses a range of issues required to scale down the size of ...
    untranslated PDF (1MB)
  • Sharp, Kendra V.; Adrian, Ronald J. (Department of Theoretical and Applied Mechanics (UIUC), 2003-07)
    The transition to turbulent flow is studied for liquids of different polarities in glass microtubes having diameters between 50 and 247 µm. The onset of transition occurs at Reynolds number ~1800–2000, as indicated by ...
    untranslated PDF (590KB)
  • Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E. (Department of Theoretical and Applied Mechanics (UIUC), 2004-09)
    We establish transport relations for integrals over evolving fluid interfaces. These relations make it possible to localize integral balance laws over nonmaterial interfaces separating fluid phases and, therefore, obtain ...
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  • Gioia, Gustavo; Chakraborty, Pinaki (American Physical Society, 2006)
    The classical experiments on turbulent friction in rough pipes were performed by Nikuradse in the 1930s. Seventy years later, they continue to defy theory. Here we model Nikuradse’s experiments using the phenomenological ...
    untranslated PDF (315KB)
  • Gioia, Gustavo; Chakraborty, Pinaki (Department of Theoretical and Applied Mechanics (UIUC), 2005-08)
    The classical experiments on turbulent friction in rough pipes were performed by J. Nikuradse in the 1930s. Seventy years later, they continue to defy theory. Here we model Nikuradse’s experiments using the phenomenological ...
    untranslated PDF (268KB)
  • Gioia, Gustavo; Cuitiño, Alberto M.; Zheng, S.; Uribe, T. (American Physical Society, 2002)
    When poured into a container, cohesive granular materials form low-density, open granular aggregates. If pressure is applied to these aggregates, they densify by particle rearrangement. Here we introduce experimental and ...
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  • Gioia, Gustavo; Cuitiño, Alberto M. (Department of Theoretical and Applied Mechanics (UIUC), 2001-05)
    When poured into a container, cohesive granular materials form low-density, open granular aggregates. If pressed upon with a ram, these aggregates densify by particle rearrangement. In this paper we introduce experimental ...
    untranslated PDF (4MB)
  • Chen, Yi-Chao; Fried, Eliot (Department of Theoretical and Applied Mechanics (UIUC), 2005-06)
    Using a geometrical approach to treat the constraints associated with the continuum description of uniaxial nematic elastomers, we develop the general constitutive framework for such materials. We also provide a variational ...
    untranslated PDF (712KB)
  • Fried, Eliot; Gurtin, Morton E. (Department of Theoretical and Applied Mechanics (UIUC), 2003-05)
    This review presents a unified treatment of several topics at the intersection of continuum mechanics and materials science; the thrust concerns processes involving evolving interfaces, focusing on grain-boundaries, ...
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  • Fried, Eliot; Gurtin, Morton E. (Department of Theoretical and Applied Mechanics (UIUC), 2003-12)
    (1) Introduction: some conditions for nonmaterial interfaces; (2) The need for a configurational force balance; (3) A framework for the study of evolving nonmaterial interfaces; (4) The normal configurational force balance ...
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  • Fried, Eliot; Gurtin, Morton E.; Hutter, Kolumban (Department of Theoretical and Applied Mechanics (UIUC), 2001-09)
    Guided by the kinematical treatment of vacancies in theories for solid-state diffusion, we develop a theory for compaction and segregation in flowing granular materials. This theory leads to a partial differential equation ...
    untranslated PDF (706KB)
  • Chakraborty, Pinaki; Gioia, Gustavo; Kieffer, Susan (Department of Theoretical and Applied Mechanics (UIUC), 2005-09)
    Photographs of a volcanic column in a recent eruption of Reventador show a prominently scalloped umbrella that is unlike any umbrella previously documented on a volcanic column. We propose that the scallops in this umbrella ...
    untranslated PDF (10MB)