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Homogenization of Three-Dimensional Periodic Solid--Solid Elastic Composites |
| NI Qing;CHENG Jian-Chun |
| Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093 |
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| Cite this article: |
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NI Qing, CHENG Jian-Chun 2007 Chin. Phys. Lett. 24 747-750 |
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Abstract We develop an approach to homogenize three-dimensional periodic solid--solid elastic composites with cubic lattice at low frequencies, by using plane wave expansion and perturbation theory with respect to the long wavelength limit. Based on the fact that the two shear waves propagating along lattice axis are degenerated, we derive formulae for effective velocities parallel and normal to the lattice axis, from which three independent effective elastic moduli are calculated, respectively. Theoretical results, which take into account the multiple scattering and the structure of the periodic medium, are in good agreement with the previous isotropic theory at high-symmetry
directions.
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| Keywords:
43.20.+g
43.40.+s
43.35.+d
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Received: 21 September 2006
Published: 08 February 2007
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| PACS: |
43.20.+g
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(General linear acoustics)
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43.40.+s
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(Structural acoustics and vibration)
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43.35.+d
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(Ultrasonics, quantum acoustics, and physical effects of sound)
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