About: Wang Tilings for Modelling of Heterogeneous Materials

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://publications.lib.chalmers.se/publication/202188-proceedings-of-14th-european-mechanics-of-materials-conference-emmc14
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. (en)
Title	Wang Tilings for Modelling of Heterogeneous Materials Wang Tilings for Modelling of Heterogeneous Materials (en)
skos:prefLabel	Wang Tilings for Modelling of Heterogeneous Materials Wang Tilings for Modelling of Heterogeneous Materials (en)
skos:notation	RIV/68407700:21110/14:00219553!RIV15-GA0-21110___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA13-24027S)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Novák, J. Doškář, Martin
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	55940
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/14:00219553
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Wang tiling; homogenization; microstructure synthesis (en)
http://linked.open.../riv/klicoveSlovo	homogenization microstructure synthesis Wang tiling
http://linked.open...ontrolniKodProRIV	[C763DA1789DF]
http://linked.open...in/vavai/riv/obor	JI
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Wang Tiling Compressions of Real World Material Systems
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Novák, Jan Doškář, Martin
http://localhost/t...ganizacniJednotka	21110

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