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SUMMARY:Recent advances in multi-scale computational homogenization 
DTSTART:20110331T121500
DTSTAMP:20260406T063952Z
UID:d3bf5a243738e6edfe82e409b985d4b2ea421735cbb7c8b45c4ee777
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 upsc
 aling to the field of structural engineering. The steady progress essentia
 lly results from the research efforts invested in multi-scale modelling in
  general  whereby a focus on multi-disciplinary aspects naturally arises. 
 There are various ways to classify multi-scale methods in a general settin
 g. In this presentation  attention is restricted to a particular method th
 at falls in the category of homogenization methods based on integration ov
 er short length scales. This category of methods is also called "coarse gr
 aining" in the physics community. Among the various homogenization techniq
 ues proposed  a computational homogenization scheme is probably one of the
  most accurate techniques in upscaling the nonlinear behaviour of a well-c
 haracterized microstructure. This method is essentially based on the const
 ruction of a micro-scale boundary value problem  used to determine the loc
 al governing behaviour at the macro scale. In case the macro scale boundar
 y value problem is solved simultaneously  a fully nested solution of two b
 oundary value problems is obtained  one at each scale. Though computationa
 lly expensive  the procedures developed allow to assess the macroscopic in
 fluence of microstructural parameters in a rather straightforward manner.\
 nSeveral topics will be addressed:\n_ First-order computational homogeniza
 tion: historical overview and key principles\n_ Second-order computational
  homogenization: how to incorporate the size of the underlying microstruct
 ure?\n_ Continuous-discontinuous multi-scale approach for localization pro
 blems: the problem and the solution inspired by embedded localization band
 s.\n_ Multi-physics and coupled problems: the heat conduction problem & th
 ermo-mechanically coupled computational homogenization\n_ Thin structures:
  shells and beams  how to handle flat structures with a complex through-th
 ickness architecture?\n_ Computational homogenization towards cohesive zon
 es.\n\nThe most important issues are commented for each of the topics addr
 essed  with a particular emphasis on the applicability  and possible limit
 ations of each. The presentation concludes with some general remarks on th
 e added value of computational homogenization techniques as stand-alone to
 ols or in development of alternative multi-scale methods. Finally  some op
 en issues and challenges are summarized. 
LOCATION:GC C3 30
STATUS:CONFIRMED
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