边界元法被用于计算各向异性二维声子晶体的能带结构,该体系由各向异性或各向同性夹杂嵌入各向同性或各向异性基体中而形成.在一个单胞内分别对基体和散射体建立边界积分方程,在基体边界上施加Bloch条件,然后代入界面条件得到一个线性的特征值方程.通过对不同体系声子晶体能带结构的计算,并和其它方法的计算结果进行比较,说明边界元法可以有效准确地计算各向异性声子晶体的能带结构;而且,与各向同性体系相比,正交材料旋转角的变化对面外模态的能带结构有一定影响.
参考文献
| [1] | 苏晓星;汪越胜.用FDTD与高分辨率谱估计相结合计算二维声子晶体的能带[J].人工晶体学报,2009(6):1375-1379. |
| [2] | C.Q. Chen;J.Z. Cui;H.L. Duan;X.Q. Feng;L.H. He;G.K. Hu;M.J. Huang;Y.Z. Huo;B.H. Ji;B. Liu;X.H. Peng;H.J. Shi;Q.P. Sun;J.X. Wang;Y.S. Wang;H.P. Zhao;Y.P. Zhao;Q.S. Zheng;W.N. Zou.PERSPECTIVES IN MECHANICS OF HETEROGENEOUS SOLIDS[J].固体力学学报（英文版）,2011(01):1-26. |
| [3] | Li, J.-B.;Wang, Y.-S.;Zhang, C..Dispersion relations of a periodic array of fluid-filled holes embedded in an elastic solid[J].Journal of computational acoustics,20124(4):1250014-1-1250014-19. |
| [4] | Sigalas MM..Defect states of acoustic waves in a two-dimensional lattice of solid cylinders[J].Journal of Applied Physics,19986(6):3026-3030. |
| [5] | 赵言诚;赵芳;苑立波.二维声子晶体异质线缺陷的声波导特性[J].人工晶体学报,2006(6):1190-1194. |
| [6] | 温激鸿;韩小云;王刚;赵宏刚;刘耀宗.声子晶体研究概述[J].功能材料,2003(4):364-367. |
| [7] | Mei J;Liu ZY;Qiu CY.Multiple-scattering theory for out-of-plane propagation of elastic waves in two-dimensional phononic crystals[J].Journal of Physics. Condensed Matter,200525(25):3735-3757. |
| [8] | Yan ZZ;Wang YS.Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals[J].Physical review, B. Condensed matter and materials physics,200622(22):4303-1-4303-9-0. |
| [9] | Tsung-Tsong Wu;Zi-Gui Huang;S. Lin.Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy[J].Physical Review.B.Condensed Matter,20049(9):094301.1-094301.10. |
| [10] | Hou ZL.;Fu XJ.;Liu YY..Acoustic wave in a two-dimensional composite medium with anisotropic inclusions[J].Physics Letters, A,20031/2(1/2):127-134. |
| [11] | Li, F.-L.;Wang, Y.-S.;Zhang, C.;Yu, G.-L..Boundary element method for band gap calculations of two-dimensional solid phononic crystals[J].Engineering analysis with boundary elements,20132(2):225-235. |
| [12] | 李凤莲;汪越胜;王志乔.基于边界元法的三相声子晶体能带结构的计算[J].人工晶体学报,2015(9):2564-2569. |
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