000022731 001__ 22731
000022731 005__ 20220110134523.0
000022731 04107 $$aeng
000022731 046__ $$k2018-05-14
000022731 100__ $$aDoškář, M.
000022731 24500 $$aSynthesis of microstructure-informed enrichment functions by means of Wang tiles

000022731 24630 $$n24.$$pEngineering Mechanics 2018
000022731 260__ $$bInstitute of Theoretical and Applied Mechanics of the Cech Academy of Sciences, Prague
000022731 506__ $$arestricted
000022731 520__ $$2eng$$aWang tiles-based description of a microstructural geometry of random heterogeneous materials facilitates fast reconstruction of material samples. As a step towards a statistical quantification of the microstructure influence on the response of macro-scale models with fully resolved microstructural geometry, we present a framework that accelerates the numerical analyses by (i) pre-computing characteristic responses of the compressed microstructural representation and (ii) plugging these responses as microstructure-informed enrichments into Extended Finite Element Method. The methodology is illustrated with a scalar steady-state problem.

000022731 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022731 653__ $$aWang tiling, microstructure synthesis, microstructure-informed enrichment functions

000022731 7112_ $$aEngineering Mechanics 2018$$cSvratka, CZ$$d2018-05-14 / 2018-05-17$$gEM2018
000022731 720__ $$aDoškář, M.$$iNovák, J.$$iZeman, J.
000022731 8560_ $$ffischerc@itam.cas.cz
000022731 8564_ $$s1051168$$uhttps://invenio.itam.cas.cz/record/22731/files/193.pdf$$yOriginal version of the author's contribution in proceedings, page , section SOL.
000022731 962__ $$r21225
000022731 980__ $$aPAPER