. "Influence of the scale and material parameters in modelling of vibrations of heterogeneous materials."@en . . . "Vliv \u0161k\u00E1lov\u00E9ho a materi\u00E1lov\u00E9ho parametru p\u0159i modelov\u00E1n\u00ED vibrac\u00ED heterogenn\u00EDch materi\u00E1l\u016F."@cs . . "We study a two-dimensional elastic composite material made of periodically repeating cells. Each cell is a composition of a square shape elastic matrix with embedded small elastic inclusions. For the size of microstructures tending to zero the existence of a limit constitutive law has been proved in recent studies. For a finite size of the microstructure a corrector displacement field (with support in the inclusions only) was introduced. In this paper we report numerical examples in 2D which illustrate how the corrected homogenized solution corresponds with the solution computed for the heterogeneous structure with a finite microstructure size."@en . . "RIV/49777513:23520/06:00000491" . . "Computational mechanics 2006" . . "479552" . "2006-01-01+01:00"^^ . "Rohan, Eduard" . "535-542" . . . "Vliv \u0161k\u00E1lov\u00E9ho a materi\u00E1lov\u00E9ho parametru p\u0159i modelov\u00E1n\u00ED vibrac\u00ED heterogenn\u00EDch materi\u00E1l\u016F."@cs . "Pilsen" . "Z\u00E1pado\u010Desk\u00E1 univerzita v Plzni" . "23520" . . . . "3"^^ . "80-7043-477-5" . "[DAE096049A60]" . . . "Influence of the scale and material parameters in modelling of vibrations of heterogeneous materials." . "Influence of the scale and material parameters in modelling of vibrations of heterogeneous materials."@en . "Influence of the scale and material parameters in modelling of vibrations of heterogeneous materials." . . . "8"^^ . "2"^^ . "Seifrt, Franti\u0161ek" . "Hrad Ne\u010Dtiny" . . "V t\u00E9to pr\u00E1ci se zab\u00FDv\u00E1me dvourozm\u011Brn\u00FDm kompozitn\u00EDm materi\u00E1lem, jen\u017E je slo\u017Een z periodicky se opakuj\u00EDc\u00EDch bun\u011Bk. Ka\u017Ed\u00E1 bu\u0148ka je tvo\u0159ena elastickou matric\u00ED \u010Dtvercov\u00E9ho tvaru, ve kter\u00E9 je zapu\u0161t\u011Bna elastick\u00E1 inkluze. Pro limitn\u011B malou velikost mikrostruktury byl v d\u0159\u00EDve publikovan\u00FDch prac\u00EDch odvozen konstitutivni vztah. Pro kone\u010Dnou velikost mikrostruktury byla zavedena korektorov\u00E1 funkce (nenulov\u00E1 jenom na inkluz\u00EDch), kter\u00E1 opravuje posuvy, je\u017E odpov\u00EDdaj\u00ED homogenn\u00EDmu materi\u00E1lu. \u00DAkolem t\u00E9to pr\u00E1ce je pomoc\u00ED dvojdimenzion\u00E1ln\u00EDch numerick\u00FDch simulac\u00ED porovnat opraven\u00E9 homogenizovan\u00E9 \u0159e\u0161en\u00ED s \u0159e\u0161en\u00EDm odpov\u00EDdaj\u00EDc\u00EDm p\u016Fvodn\u00EDmu heterogenn\u00EDmu materi\u00E1lu."@cs . . "We study a two-dimensional elastic composite material made of periodically repeating cells. Each cell is a composition of a square shape elastic matrix with embedded small elastic inclusions. For the size of microstructures tending to zero the existence of a limit constitutive law has been proved in recent studies. For a finite size of the microstructure a corrector displacement field (with support in the inclusions only) was introduced. In this paper we report numerical examples in 2D which illustrate how the corrected homogenized solution corresponds with the solution computed for the heterogeneous structure with a finite microstructure size." . "RIV/49777513:23520/06:00000491!RIV07-MSM-23520___" . "phononic crystals; elastic waves; composite materials; strong heterogeneities; homogenization"@en . . "P(1M06031)" . "Miara, Bernadette" .