Homogenization of Three-Dimensional Periodic Solid-Solid Elastic Composites  

作　　者：倪青 程建春 

机构地区：[1]Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093

出　　处：《Chinese Physics Letters》2007年第3期747-750,共4页中国物理快报（英文版）

基　　金：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.

摘　　要：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.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.

关 键 词：PHONONIC CRYSTALS ACOUSTIC-WAVES BAND-STRUCTURE SCATTERING EXISTENCE 

分 类 号：TB3[一般工业技术—材料科学与工程]