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SUMMARY:! CANCELLED !          Recent advances in multi-scale computationa
 l homogenization
DTSTART:20101202T121500
DTSTAMP:20260406T185417Z
UID:2dab3581434fc5375899aece1e0a0b7ff298eea8f6c0c1df90e9caec
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 h
 omogenization: historical overview and key principles\n_ Second-order comp
 utational homogenization: how to incorporate the size of the underlying mi
 crostructure? \n_ Continuous-discontinuous multi-scale approach for locali
 zation problems: the problem and the solution inspired by embedded localiz
 ation bands.\n_ Multi-physics and coupled problems: the heat conduction pr
 oblem & thermo-mechanically coupled computational homogenization\n_ Thin s
 tructures: shells and beams\, how to handle flat structures with a complex
  through-thickness architecture?\n_ Computational homogenization towards c
 ohesive zones. \n\nThe most important issues are commented for each of the
  topics addressed\, with a particular emphasis on the applicability\, and 
 possible limitations of each. The presentation concludes with some general
  remarks on the added value of computational homogenization techniques as 
 stand-alone tools or in development of alternative multi-scale methods. Fi
 nally\, some open issues and challenges are summarized.
LOCATION:GR A3 30
STATUS:CONFIRMED
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