About: Towards RVE via Wang tilings

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A generalization of popular periodic unit cell approach to modelling of heterogeneous materials is presented. Microstructural information is compressed within a set of Wang tiles, small domino-like domains, instead of a single periodic cell. As result periodicity in reconstructed microstructure inherent to the unit cell approach is reduced and controlled with cardinality of the tile set. Employing a stochastic tiling algorithm allows microstructure realizations of various sizes to be efficiently constructed. This feature makes the tiling concept appealing from the viewpoint of numerical homogenization in which the issue of representativeness of a computational domain is of primary concern. The computational cost of asymptotic homogenization is addressed by making use of repetitive occurrence of tiles in computational domains. In the case of linear problems the global stiffness matrix of whole domain can be assembled from Schur complements of stiffness matrices of individual tiles resulting in significant reduction in a number of unknowns. A generalization of popular periodic unit cell approach to modelling of heterogeneous materials is presented. Microstructural information is compressed within a set of Wang tiles, small domino-like domains, instead of a single periodic cell. As result periodicity in reconstructed microstructure inherent to the unit cell approach is reduced and controlled with cardinality of the tile set. Employing a stochastic tiling algorithm allows microstructure realizations of various sizes to be efficiently constructed. This feature makes the tiling concept appealing from the viewpoint of numerical homogenization in which the issue of representativeness of a computational domain is of primary concern. The computational cost of asymptotic homogenization is addressed by making use of repetitive occurrence of tiles in computational domains. In the case of linear problems the global stiffness matrix of whole domain can be assembled from Schur complements of stiffness matrices of individual tiles resulting in significant reduction in a number of unknowns. (en)
Title	Towards RVE via Wang tilings Towards RVE via Wang tilings (en)
skos:prefLabel	Towards RVE via Wang tilings Towards RVE via Wang tilings (en)
skos:notation	RIV/68407700:21110/14:00221344!RIV15-MSM-21110___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GA13-24027S), S
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	50844
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/14:00221344
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Wang tiling; microstructure compression; homogenization (en)
http://linked.open.../riv/klicoveSlovo	homogenization microstructure compression Wang tiling
http://linked.open...ontrolniKodProRIV	[4A3D561D84B8]
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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