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  • A unified treatment of random microstructures proposed in this contribution opens the way to efficient solutions of large-scale real world problems. The paper introduces a notion of statistically equivalent periodic unit cell (SEPUC) that replaces in a computational step the actual complex geometries on an arbitrary scale. A SEPUC is constructed such that its morphology conforms with images of real microstructures. Here, the appreciated two-point probability function and the lineal path function are employed to classify, from the statistical point of view, the geometrical arrangement of various material systems. Examples of statistically equivalent unit cells constructed for a unidirectional fibre tow, a plain weave textile composite and an irregular-coursed masonry wall are given.
  • A unified treatment of random microstructures proposed in this contribution opens the way to efficient solutions of large-scale real world problems. The paper introduces a notion of statistically equivalent periodic unit cell (SEPUC) that replaces in a computational step the actual complex geometries on an arbitrary scale. A SEPUC is constructed such that its morphology conforms with images of real microstructures. Here, the appreciated two-point probability function and the lineal path function are employed to classify, from the statistical point of view, the geometrical arrangement of various material systems. Examples of statistically equivalent unit cells constructed for a unidirectional fibre tow, a plain weave textile composite and an irregular-coursed masonry wall are given. (en)
  • V tomto příspěvku je představen jednotný přístup založený na konceptu staticky ekvivalentní jednotkové buňky. Jsou ilustrovány aplikace na analýzu skutečných kompozitů i jejich výstižnost z hlediska efektivních vlastností. (cs)
Title
  • From Random Microstructures to Representative Volume Elements
  • Od náhodných mikrostruktur k reprezentativním objemům (cs)
  • From Random Microstructures to Representative Volume Elements (en)
skos:prefLabel
  • From Random Microstructures to Representative Volume Elements
  • Od náhodných mikrostruktur k reprezentativním objemům (cs)
  • From Random Microstructures to Representative Volume Elements (en)
skos:notation
  • RIV/68407700:21110/07:01136333!RIV08-GA0-21110___
http://linked.open.../vavai/riv/strany
  • S325;S335
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GP103/04/P254), Z(MSM6840770003)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 422671
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21110/07:01136333
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Microstructure description; Sequential homogenization approaches; Unit cell analysis (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [AA490A2015B2]
http://linked.open...i/riv/nazevZdroje
  • Modelling and Simulation in Materials Science and Engineering
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 15
http://linked.open...iv/tvurceVysledku
  • Zeman, Jan
  • Šejnoha, Michal
http://linked.open...n/vavai/riv/zamer
issn
  • 0965-0393
number of pages
http://localhost/t...ganizacniJednotka
  • 21110
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