000012398 001__ 12398
000012398 005__ 20160816141443.0
000012398 04107 $$aeng
000012398 046__ $$k2016-05-09
000012398 100__ $$aDoškář, M.
000012398 24500 $$aMICROSTRUCTURE-INFORMED ENRICHMENT FUNCTIONS IN EXTENDED FINITE ELEMENT METHOD

000012398 24630 $$n22.$$pEngineering Mechanics 2016
000012398 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Praha
000012398 506__ $$arestricted
000012398 520__ $$2eng$$aThe present contribution reports on preliminary results of enhancing the approximation space of the Finite Element Method by means of pre-generated displacement fluctuation fields. The formulation builds on the Wang tile based compression of investigated microstructures and expands the application potential of the tiling compression into numerical methods. Enrichment functions are precomputed as responses of the compressed system to a set of load cases and synthesized analogously to the synthesis of the microstructure. The performance is illustrated with a two-dimensional linear diffusion problem.

000012398 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012398 653__ $$aWang tiles, heterogeneous materials, fluctuation field synthesis, microstructure-informed enrichment functions, eXtended Finite Element Method.

000012398 7112_ $$aEngineering Mechanics 2016$$cSvratka, CZ$$d2016-05-09 / 2016-05-12$$gEM2016
000012398 720__ $$aDoškář, M.$$iNovák, J.$$iZeman, J.
000012398 8560_ $$ffischerc@itam.cas.cz
000012398 8564_ $$s2175257$$uhttp://invenio.itam.cas.cz/record/12398/files/028bo_o_sol.pdf$$yOriginal version of the author's contribution as presented on CD, id 028, section SOL.
000012398 962__ $$r12369
000012398 980__ $$aPAPER