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SUMMARY:Recent advances in multi-scale computational homogenization 
DTSTART:20110209T070000
DTSTAMP:20260509T234211Z
UID:8268530abeb4418888f5f0967b1c373f925853548b832ffcbb62bec5
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Marc Geers\, Eindhoven University of Technology\nConside
 rable progress had been made in bridging the mechanics of materials to oth
 er disciplines\, e.g. downscaling to the field of materials science or ups
 caling to the field of structural engineering. The steady progress essenti
 ally results from the research efforts invested in multi-scale modelling i
 n general\, whereby a focus on multi-disciplinary aspects naturally arises
 . There are various ways to classify multi-scale methods in a general sett
 ing. In this presentation\, attention is restricted to a particular method
  that falls in the category of homogenization methods based on integration
  over short length scales. This category of methods is also called "coarse
  graining" in the physics community. Among the various homogenization tech
 niques proposed\, a computational homogenization scheme is probably one of
  the most accurate techniques in upscaling the nonlinear behaviour of a we
 ll-characterized microstructure. This method is essentially based on the c
 onstruction of a micro-scale boundary value problem\, used to determine th
 e local governing behaviour at the macro scale. In case the macro scale bo
 undary value problem is solved simultaneously\, a fully nested solution of
  two boundary value problems is obtained\, one at each scale. Though compu
 tationally expensive\, the procedures developed allow to assess the macros
 copic influence of microstructural parameters in a rather straightforward 
 manner.\nSeveral topics will be addressed:\n_ First-order computational ho
 mogenization: historical overview and key principles\n_ Second-order compu
 tational homogenization: how to incorporate the size of the underlying mic
 rostructure?\n_ Continuous-discontinuous multi-scale approach for localiza
 tion problems: the problem and the solution inspired by embedded localizat
 ion bands.\n_ Multi-physics and coupled problems: the heat conduction prob
 lem & thermo-mechanically coupled computational homogenization\n_ Thin str
 uctures: shells and beams\, how to handle flat structures with a complex t
 hrough-thickness architecture?\n_ Computational homogenization towards coh
 esive zones.\n\nThe most important issues are commented for each of the to
 pics addressed\, with a particular emphasis on the applicability\, and pos
 sible limitations of each. The presentation concludes with some general re
 marks on the added value of computational homogenization techniques as sta
 nd-alone tools or in development of alternative multi-scale methods. Final
 ly\, some open issues and challenges are summarized. 
LOCATION:GC C3 30
STATUS:CONFIRMED
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