"microstructure synthesis; Wang tiling; enrichment strategy"@en . "University of Exeter" . "In this paper an approach to modelling of heterogeneous materials is presented. It is based on incorporating the concept of Wang tilings in microstructure compression and reconstruction techniques. Unlike the Periodic Unit cell approach, where a complete microstructural information is stored within a single cell, the set of simpler domains, so called Wang tiles, is used, thereby allowing for breaking the periodic nature of reconstructed microstructure representations. A potential of the concept in synthesis of microstructure-informed enrichment functions for Generalized Finite Element environments is also discussed and accompanied with preliminary results."@en . "3"^^ . "5785" . "RIV/68407700:21110/14:00219544!RIV15-GA0-21110___" . . "Breaking Periodicity in Material Simulations"@en . "Breaking Periodicity in Material Simulations" . "http://emps.exeter.ac.uk/media/universityofexeter/emps/engineering/research/acme/Final_ACME2014_Proceedings.pdf" . "Hor\u00E1k, Martin" . "3"^^ . . . "2014-04-02+02:00"^^ . . . . . "[99CC09A29097]" . . . "4"^^ . . "978-0-902746-30-5" . "In this paper an approach to modelling of heterogeneous materials is presented. It is based on incorporating the concept of Wang tilings in microstructure compression and reconstruction techniques. Unlike the Periodic Unit cell approach, where a complete microstructural information is stored within a single cell, the set of simpler domains, so called Wang tiles, is used, thereby allowing for breaking the periodic nature of reconstructed microstructure representations. A potential of the concept in synthesis of microstructure-informed enrichment functions for Generalized Finite Element environments is also discussed and accompanied with preliminary results." . . "Breaking Periodicity in Material Simulations" . "RIV/68407700:21110/14:00219544" . "Proceedings of the 22nd UK National Conference of the Association for Computational Mechanics in Engineering" . "Breaking Periodicity in Material Simulations"@en . "Nov\u00E1k, Jan" . "Exeter" . . "Exeter" . "21110" . . . . "P(GA13-24027S)" . . . "Do\u0161k\u00E1\u0159, Martin" . .