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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F14%3A00219553%21RIV15-GA0-21110___
rdf:type
skos:Concept n16:Vysledek
rdfs:seeAlso
http://publications.lib.chalmers.se/publication/202188-proceedings-of-14th-european-mechanics-of-materials-conference-emmc14
dcterms:description
For many materials the size of Representative Volume Element may be well beyond conventional dimensions. We propose a microstructure compression technique based on Wang tilings that allows to quickly generate large numbers of microstructure realizations of arbitrary sizes while preserving spatial characteristics of the reference system. The microstructure spatial information is compressed within a set of Wang tiles, square tetraminoe like cells with codes assigned to edges. The edges are designed in a specic way allowing an assembly of tiles into tilings that guarantee conformity of the carried information across the tilling lattice. Having the microstructure compression at hand, it allows to investigate optimal dimensions of Representative Volume Elements for various physical phenomena in an extremely ecient way. The attention is limited to linear elasticity in this work. Moreover, we discuss the potential enhancement to the analysis through taking the advantage of regular nature of the tiling lattice, such as it invokes the application of domain decomposition techniques. Alternative remarks on tiles treated as macroelements in order to reduce number of DOFs are also presented. For many materials the size of Representative Volume Element may be well beyond conventional dimensions. We propose a microstructure compression technique based on Wang tilings that allows to quickly generate large numbers of microstructure realizations of arbitrary sizes while preserving spatial characteristics of the reference system. The microstructure spatial information is compressed within a set of Wang tiles, square tetraminoe like cells with codes assigned to edges. The edges are designed in a specic way allowing an assembly of tiles into tilings that guarantee conformity of the carried information across the tilling lattice. Having the microstructure compression at hand, it allows to investigate optimal dimensions of Representative Volume Elements for various physical phenomena in an extremely ecient way. The attention is limited to linear elasticity in this work. Moreover, we discuss the potential enhancement to the analysis through taking the advantage of regular nature of the tiling lattice, such as it invokes the application of domain decomposition techniques. Alternative remarks on tiles treated as macroelements in order to reduce number of DOFs are also presented.
dcterms:title
Wang Tilings for Modelling of Heterogeneous Materials Wang Tilings for Modelling of Heterogeneous Materials
skos:prefLabel
Wang Tilings for Modelling of Heterogeneous Materials Wang Tilings for Modelling of Heterogeneous Materials
skos:notation
RIV/68407700:21110/14:00219553!RIV15-GA0-21110___
n3:aktivita
n8:P
n3:aktivity
P(GA13-24027S)
n3:dodaniDat
n13:2015
n3:domaciTvurceVysledku
n6:1374249 n6:2701502
n3:druhVysledku
n9:O
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n5:predkladatel
n3:idSjednocenehoVysledku
55940
n3:idVysledku
RIV/68407700:21110/14:00219553
n3:jazykVysledku
n11:eng
n3:klicovaSlova
Wang tiling; homogenization; microstructure synthesis
n3:klicoveSlovo
n7:Wang%20tiling n7:homogenization n7:microstructure%20synthesis
n3:kontrolniKodProRIV
[C763DA1789DF]
n3:obor
n14:JI
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n18:GA13-24027S
n3:rokUplatneniVysledku
n13:2014
n3:tvurceVysledku
Doškář, Martin Novák, Jan
n17:organizacniJednotka
21110