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SUMMARY:Modeling materials with jigsaw puzzles: Beyond periodic unit cells
DTSTART:20180906T140000
DTEND:20180906T150000
DTSTAMP:20260510T031921Z
UID:cd919092048f6472bb708f3a61ceefe3927136ce5e72147ca12df291
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Jan Zeman\, Czech Technical University in Prague\nThe sp
 atial arrangement of material phases plays a crucial role in the macroscop
 ic response of materials. To increase their modeling capabilities\, many c
 ontemporary numerical strategies rely on a single characteristic material 
 sample\, mostly provided in the form of a Periodic Unit Cell (PUC). While 
 well suited for problems with clearly separated scales\, the PUC notion be
 comes questionable whenever a material structure has to be explicitly reso
 lved in a macroscopic domain. Aiming at these scenarios\, we present an ex
 tension of the PUC concept\, using the formalism of so-called Wang tiles. 
 Our approach allows storing microstructural geometry of random heterogeneo
 us materials in the compressed form of handful domains with predefined mut
 ual compatibility. Following a simple sequential algorithm\, stochastic sa
 mples of microstructural geometry - including its finite element discretiz
 ation - can be reassembled nearly instantly from the compressed form\, mak
 ing the Wang tile concept appealing to problems where multiple\, statistic
 ally consistent realizations of a material microstructure must be consider
 ed.\nStarting with the brief introduction of the concept fundamentals and 
 methods for compressing microstructural information into a set of tiles\, 
 I will then mainly focus on recent results in precomputing characteristic 
 responses of the compressed material microstructure and reusing these micr
 ostructure-informed approximations for accelerating macroscopic analyses w
 ith fully resolved material details. In the end\, I will briefly outline r
 elated applications of the concept (i) in a concurrent optimization of man
 ufacturable microstructure modules and their distribution in macroscopic p
 roducts\, and (ii) locally tuneable meta-materials.
LOCATION:CM 1 5 https://plan.epfl.ch/?room==CM%201%205
STATUS:CONFIRMED
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