000015170 001__ 15170 000015170 005__ 20161115100213.0 000015170 04107 $$aeng 000015170 046__ $$k2016-08-21 000015170 100__ $$aShmuel, Gal 000015170 24500 $$aThe universality of the band structure of layered composites 000015170 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000015170 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000015170 506__ $$arestricted 000015170 520__ $$2eng$$aWe find that the frequency spectra of layered phononic and photonic composites admit a universal structure, independent of the geometry of the periodic-cell and the specific physical properties [1]. In certain cases, this representation extends to highly deformable and multi-physical materials of tunable spectra. The structure is employed to establish universal properties of the corresponding band-gaps, and to rigorously determine their statistical and optimal characteristics. Specifically, we investigate the density of the gaps, their maximal width and expected value. As a result, rules for tailoring the laminate according to desired spectra properties follow. Our representation further facilitates characterizing the tunability of the band-structure of soft and multi-physical materials. 000015170 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000015170 653__ $$a 000015170 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000015170 720__ $$aShmuel, Gal 000015170 8560_ $$ffischerc@itam.cas.cz 000015170 8564_ $$s67014$$uhttps://invenio.itam.cas.cz/record/15170/files/TS.SM04-4.05.pdf$$yOriginal version of the author's contribution as presented on CD, page 1931, code TS.SM04-4.05 . 000015170 962__ $$r13812 000015170 980__ $$aPAPER