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

  • 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 ...

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  • 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 ...

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  • 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 ...

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  • Aref, Hassan; Newton, Paul K.; Stremler, Mark A.; Tokieda, Tadashi; Vainchtein, Dmitri L. (Department of Theoretical and Applied Mechanics (UIUC), 2002-10)
    Vortex crystals is one name in use for the subject of vortex patterns that move without change of shape or size. Most of what is known pertains to the case of arrays of parallel line vortices moving so as to produce an ...

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  • Zeng, Lanying; Balachandar, S.; Fischer, Paul (Department of Theoretical and Applied Mechanics (UIUC), 2004-05)

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