"Finite element modelling of linear, non-linear and multiscale effects in wave propagation in solids and heterogeneous media"@en . . . . . . "\u0161\u00ED\u0159en\u00ED vln, metoda kone\u010Dn\u00FDch prvk\u016F, heterogenn\u00ED struktury"@en . . "1"^^ . . "1"^^ . "65"^^ . "65"^^ . "5285"^^ . . . "Projekt je zam\u011B\u0159en na modelov\u00E1n\u00ED \u0161\u00ED\u0159en\u00ED vln v heterogenn\u00EDch prost\u0159ed\u00EDch metodou kone\u010Dn\u00FDch prvk\u016F. C\u00EDlem je zp\u0159esn\u011Bn\u00ED existuj\u00EDc\u00EDch MKP model\u016F pro \u0159e\u0161en\u00ED dynamick\u00FDch p\u0159echodov\u00FDch d\u011Bj\u016F v mechanice kontinua s uva\u017Eov\u00E1n\u00EDm geometrick\u00FDch (velk\u00E9 p\u0159etvo\u0159en\u00ED a rotace) a materi\u00E1lov\u00FDch nelinearit zalo\u017Een\u00FDch na objektivn\u00EDch derivac\u00ED tenzoru nap\u011Bt\u00ED v rychlostn\u00EDch formulac\u00ED. Zvl\u00E1\u0161tn\u00ED pozornost je v\u011Bnov\u00E1na roz\u0161\u00ED\u0159en\u00ED st\u00E1vaj\u00EDc\u00EDho v\u00FDzkumu fononick\u00FDch struktur pro p\u0159\u00EDpad \u0161\u00ED\u0159en\u00ED vln v trojrozm\u011Brn\u00E9m heterogenn\u00EDm prost\u0159ed\u00ED a v\u00FDvoj v\u00FDpo\u010Dtov\u00FDch n\u00E1stroj\u016F pro optimalizaci mikrostruktury pro konkr\u00E9tn\u00ED \u00FA\u010Dely. Stejn\u00E9 postupy lze pou\u017E\u00EDt i v p\u0159\u00EDpad\u011B v homogenizace vych\u00E1zej\u00EDc\u00ED z modelov\u00E1n\u00ED nap\u011B\u0165ov\u00FDch vln v m\u00E9di\u00EDch, kter\u00E9 se vyzna\u010Duj\u00ED periodickou mikrostrukturou obsahuj\u00EDc\u00ED vysoce heterogenn\u00ED tekut\u00E9 a pevn\u00E9 slo\u017Eky."@cs . . . "2007-01-01+01:00"^^ . . "Modelov\u00E1n\u00ED \u0161\u00ED\u0159en\u00ED vln v t\u011Blesech a heterogenn\u00EDch prost\u0159ed\u00ED s uva\u017Eov\u00E1n\u00EDm line\u00E1rn\u00EDch, nelin\u00E1rn\u00EDch a v\u00EDce\u0161k\u00E1lov\u00FDch jev\u016F metodou kone\u010Dn\u00FDch prvk\u016F"@cs . "2011-12-31+01:00"^^ . "Finite element modelling of wave propagation in solid heterogenous media is proposed. The objective of the project lies in the improvement of current finite element models of transient dynamics problems in continuum mechanics, including geometrical non-linearities (large strains and rotations) and non-linear material response based on objective stress derivatives in rate formulations. In particular, the research of phononic structures is proposed as the extension of the present theory to the case of wave propagation in 3-D heterogeneous media and the development of computational tools for optimization of the microstructure for the particular figure of merit. The same approaches and methods can be used in homogenization based modelling of stress waves in media characterized by periodic microstructures containing fluid and solid phases with strong heterogeneities."@en . "0"^^ . . "5285"^^ .