"2"^^ . "RIV/68407700:21110/07:01136333" . "0965-0393" . "21110" . "From Random Microstructures to Representative Volume Elements" . "\u0160ejnoha, Michal" . "15" . "2"^^ . . . "P(GP103/04/P254), Z(MSM6840770003)" . . "From Random Microstructures to Representative Volume Elements"@en . . . . . . . . "Od n\u00E1hodn\u00FDch mikrostruktur k reprezentativn\u00EDm objem\u016Fm"@cs . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "[AA490A2015B2]" . "V tomto p\u0159\u00EDsp\u011Bvku je p\u0159edstaven jednotn\u00FD p\u0159\u00EDstup zalo\u017Een\u00FD na konceptu staticky ekvivalentn\u00ED jednotkov\u00E9 bu\u0148ky. Jsou ilustrov\u00E1ny aplikace na anal\u00FDzu skute\u010Dn\u00FDch kompozit\u016F i jejich v\u00FDsti\u017Enost z hlediska efektivn\u00EDch vlastnost\u00ED."@cs . "11"^^ . . . . "Zeman, Jan" . "Modelling and Simulation in Materials Science and Engineering" . . . "4" . . "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 . . "RIV/68407700:21110/07:01136333!RIV08-GA0-21110___" . "S325;S335" . "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." . "422671" . "From Random Microstructures to Representative Volume Elements"@en . "Microstructure description; Sequential homogenization approaches; Unit cell analysis"@en . . "From Random Microstructures to Representative Volume Elements" . "Od n\u00E1hodn\u00FDch mikrostruktur k reprezentativn\u00EDm objem\u016Fm"@cs .