Wang Tiling for Microstructure-Informed Enrichment Functions: A One-Dimensional Study

Martin Doškář; Jan Novák; Jan Zeman

doi:10.4028/www.scientific.net/AMM.825.105

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 825Wang Tiling for Microstructure-Informed Enrichment...

Wang Tiling for Microstructure-Informed Enrichment Functions: A One-Dimensional Study

Abstract:

With the current contribution we continue in our long-term ambition to develop an efficient numerical method that incorporates detailed knowledge of material microstructure into upper-scale response. In particular, we investigate potential of the Wang tiling concept to provide microstructure-informed enrichment functions for the eXtended/Generalized Finite Element Method. Preliminary results for a one-dimensional linear elasticity problem are presented, covering two modes of loading and their combination. The performance of the proposed methodology is quantified by means of $L^2$ and $H^1$ norms of errors for sequentially refined macro-scale discretization.

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Periodical:

Applied Mechanics and Materials (Volume 825)

Pages:

105-110

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.825.105

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Online since:

February 2016

Authors:

Martin Doškář*, Jan Novák, Jan Zeman

Keywords:

Extended Finite Element Method, Heterogeneous Materials, Microstructure-Informed Enrichment Functions, Wang Tilings

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* - Corresponding Author

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