SYNTHESIS OF MICROSTRUCTURE-INFORMED ENRICHMENT FUNCTIONS BY MEANS OF WANG TILES

Wang tiles-based description of a microstructural geometry of random heterogeneous materials facilitates fast reconstruction of material samples. As a step towards a statistical quantification of the microstructure influence on the response of macro-scale models with fully resolved microstructural geometry, we present a framework that accelerates the numerical analyses by (i) pre-computing characteristic responses of the compressed microstructural representation and (ii) plugging these responses as microstructure-informed enrichments into Extended Finite Element Method. The methodology is illustrated with a scalar steady-state problem.