Original title: SYNTHESIZED ENRICHMENT FUNCTIONS FOR EXTENDED FINITE ELEMENT ANALYSES WITH FULLY RESOLVED MICROSTRUCTURE
Authors: Doskar, M. ; Novák, J. ; Zeman, Jan
Document type: Papers
Conference/Event: Nano & Macro Mechanics 2017 /8./, Prague (CZ), 20170917
Year: 2017
Language: eng
Abstract: Inspired by the first order numerical homogenization, we present a method for extracting continuous fluctuation fields from the Wang tile based compression of a material microstructure. The fluctuation fields are then used as enrichment basis in Extended Finite Element Method (XFEM) to reduce number of unknowns in problems with fully resolved microstructural geometry synthesized by means of the tiling concept. In addition, the XFEM basis functions are taken as reduced modes of a detailed discretization in order to circumvent the need for non-standard numerical quadratures. The methodology is illustrated with a scalar steady-state problem.
Keywords: extended finite element method; microstructure synthesis; microstructure-informed enrichment functions; Wang tiling
Host item entry: NMM 2017 - Nano & Macro Mechanics 2017, ISBN 978-80-01-06346-0

Institution: Institute of Information Theory and Automation AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://library.utia.cas.cz/separaty/2019/MTR/zeman-0507081.pdf
Original record: http://hdl.handle.net/11104/0298167

Permalink: http://www.nusl.cz/ntk/nusl-399048


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