. . . . "Dispersion properties in homogenized piezoelectric phononic materials" . . . "Dispersion; phononic materials; homogenization; acoustic waves"@en . "12"^^ . "2009-05-14+02:00"^^ . "Svratka" . . . . "978-80-86246-35-2" . "Dispersion properties in homogenized piezoelectric phononic materials"@en . "RIV/49777513:23520/09:00501582!RIV10-MSM-23520___" . "RIV/49777513:23520/09:00501582" . "Engineering Mechanics 2009" . . "2"^^ . . "[F84CC9F870EF]" . . "Prague" . . "Cimrman, Robert" . "310775" . "2"^^ . "We consider a composite medium made of weakly piezoelectric inclusionsperiodically distributed in the matrix which is made of a different piezoelectricmaterial. The medium is subject to a periodic excitation with an incidence wave frequency independent of scale of the microscopic heterogeneities. Two-scale method of homogenization was applied to obtain the limit homogenized model which describes acoustic wave propagation in the piezoelectric medium when the scale of the heterogeneities goes to zero. In analogy with the purely elastic composite, the resulting model is featured by existence of the acoustic band gaps. These are identified for certain frequency ranges whenever the so-called homogenized mass becomes negative. The homogenized model can be used for band gap prediction and for dispersion analysis for low wave numbers. Modeling of these types of composite materials seems to be perspective in the context of Smart Materials design." . "23520" . . "Dispersion properties in homogenized piezoelectric phononic materials"@en . "P(GA101/07/1471), Z(MSM4977751301)" . . . . . "We consider a composite medium made of weakly piezoelectric inclusionsperiodically distributed in the matrix which is made of a different piezoelectricmaterial. The medium is subject to a periodic excitation with an incidence wave frequency independent of scale of the microscopic heterogeneities. Two-scale method of homogenization was applied to obtain the limit homogenized model which describes acoustic wave propagation in the piezoelectric medium when the scale of the heterogeneities goes to zero. In analogy with the purely elastic composite, the resulting model is featured by existence of the acoustic band gaps. These are identified for certain frequency ranges whenever the so-called homogenized mass becomes negative. The homogenized model can be used for band gap prediction and for dispersion analysis for low wave numbers. Modeling of these types of composite materials seems to be perspective in the context of Smart Materials design."@en . . "Rohan, Eduard" . "Dispersion properties in homogenized piezoelectric phononic materials" . "\u00DAstav teoretick\u00E9 a aplikovan\u00E9 mechaniky AV \u010CR" . .