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PRODID:-//University of Illinois//Web Services Calendar//EN
VERSION:2.0
CALSCALE:GREGORIAN
BEGIN:VEVENT
DTSTAMP:20120214T141402Z
DTSTART;TZID=America/Chicago:20070419T110000
DTEND;TZID=America/Chicago:20070419T110000
SUMMARY:A Mathematically Consistent Framework for Developing Multiscale M
 ethods
CREATED:20070409T130000Z
DESCRIPTION:A multiscale finite element framework that is applicable to b
 oth fluids and solids is presented. This framework allows to embed fine 
 scales of the problem directly into the mathematical formulation. Modeli
 ng of the fine scales leads to multiscale-stabilized formulations. The s
 trength of multiscale formulations\, especially for multi-physics proble
 ms\, is highlighted. The limitations of conventional finite element appr
 oaches applied to multi-physics problems are outlined.In fluid dynamics\
 , multiscale method is applied to the incompressible Navier-Stokes equat
 ions. The resulting formulation shows superior mathematical and numerica
 l properties that are illustrated via a set of test problems on fluid-st
 ructure interactions. In solid mechanics and multiscale material modelin
 g\, a two-level scale separation is presented that leads to a mathematic
 ally consistent method for bridging molecular mechanics and quasi-contin
 uum mechanics. Contrary to the commonly practiced multigrid/computationa
 l nesting of information from smaller scales into the larger ones\, a ma
 thematical nesting of scales is proposed via evolution equations for the
  bridging-scales. Inter-atomic interactions are incorporated through nan
 oscale based material moduli with internal variables that are functions 
 of the local state of deformation. Point defects are modeled by multi-bo
 dy inter-atomic potentials. Representative numerical examples are shown 
 to validate the models and demonstrate their range of applicability.
LAST-MODIFIED:20070409T130000Z
LOCATION:NCSA Building\, Room 1030\, 1205 W. Clark St.\, Urbana\, IL
CATEGORIES:Seminar
ORGANIZER:j-file@illinois.edu
URL:http://illinois.edu/calendar/detail/831?key=200001012000010159787
UID:59787@illinois.edu
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