Dynamical effective parameters of elastic superlattice with strong acoustic contrast between the constituents
Analytical formulas are obtained for frequency-dependent effective elastic modulus and effective mass density for a periodic layered structure. The proposed homogenization procedure is valid at sufficiently high frequencies well above the lowest band gap in the acoustic spectrum of the structure. It...
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Series: | Физика низких температур |
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/176456 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Dynamical effective parameters of elastic superlattice with strong acoustic contrast between the constituents / Y. Zubov, Bahram Djafari-Rouhani, A. Krokhin // Физика низких температур. — 2018. — Т. 44, № 12. — С. 1639-1644. — Бібліогр.: 31 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Analytical formulas are obtained for frequency-dependent effective elastic modulus and effective mass density for a periodic layered structure. The proposed homogenization procedure is valid at sufficiently high frequencies well above the lowest band gap in the acoustic spectrum of the structure. It is shown that frequencydependent effective parameters may take negative values either in different regions of frequencies or in the same
quite narrow region. This property demonstrates that 1D elastic structure may behave in the limit of small Bloch
wave vectors as a double-negative acoustic metamaterial. |
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