SYNTHESIZED ENRICHMENT FUNCTIONS FOR EXTENDED FINITE ELEMENT ANALYSES WITH FULLY RESOLVED MICROSTRUCTURE

0507081 - ÚTIA 2020 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Doskar, M. - Novák, J. - Zeman, Jan
SYNTHESIZED ENRICHMENT FUNCTIONS FOR EXTENDED FINITE ELEMENT ANALYSES WITH FULLY RESOLVED MICROSTRUCTURE.
NMM 2017 - Nano & Macro Mechanics 2017. Prague: Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, 2017, s. 29-34. Acta Polytechnica CTU Proceedings, 13 (2017). ISBN 978-80-01-06346-0. E-ISSN 2336-5382.
[Nano & Macro Mechanics 2017 /8./. Prague (CZ), 17.09.2017-17.09.2017]
Institucionální podpora: RVO:67985556
Klíčová slova: Wang tiling * microstructure synthesis * microstructure-informed enrichment functions * extended finite element method
Obor OECD: Statistics and probability
http://library.utia.cas.cz/separaty/2019/MTR/zeman-0507081.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0298167