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Homogenization of Two-Dimensional Phononic Crystals at Low Frequencies |
| NI Qing;CHENG Jian-Chun |
| State Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093 |
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| Cite this article: |
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NI Qing, CHENG Jian-Chun 2005 Chin. Phys. Lett. 22 2305-2308 |
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Abstract Effective velocities of elastic waves propagating in two-dimensional phononic crystal at low frequencies are analysed theoretically, and exact analytical formulas for effective velocities of elastic waves are derived according to the method presented by Krokhin et al. [Phys. Rev. Lett. 91 (2003) 264302]. Numerical calculations for phononic crystals consisted of array of Pb cylinders embedded in epoxy show that the composites have distinct anisotropy at low filling fraction. The anisotropy increases as the filling fraction increases, while as the filling fraction closes to the limitation, the anisotropy decreases.
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| Keywords:
43.20.+g
43.35.+d
62.65.+k
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Published: 01 September 2005
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| PACS: |
43.20.+g
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(General linear acoustics)
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43.35.+d
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(Ultrasonics, quantum acoustics, and physical effects of sound)
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62.65.+k
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(Acoustical properties of solids)
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