| Homogenization of Three-Dimensional Periodic Solid-Solid Elastic Composites |
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| 作者姓名： | 倪青 程建春 |
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| 作者单位： | Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093 |
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| 基金项目： | Supported by the Ministry of Education of China under Grant Nos 705017 and 20060284035, the Excellent Youth Science Foundation of China under Grant No 10125417, and the State Key Basic Research and Development Programme of China under Grant No 51315. |
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| 摘 要： |
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| 关 键 词： | 弹性复合材料 晶格 干扰 频率 |
| 收稿时间： | 2006-9-21 |
| 修稿时间： | 2006-09-21 |
Homogenization of Three-Dimensional Periodic Solid--Solid Elastic Composites |
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| NI Qing,CHENG Jian-Chun.Homogenization of Three-Dimensional Periodic Solid-Solid Elastic Composites[J].Chinese Physics Letters,2007,24(3):747-750. |
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| Authors: | NI Qing CHENG Jian-Chun |
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| Affiliation: | Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093 |
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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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