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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