Journal of Synthetic Crystals, Volume. 49, Issue 1, 27(2020)
Band-gap Calculations of Phononic Crystals in a Triangular Lattice with Imperfect Interfaces Based on the Boundary Element Method
[4] [4] Kushwaha M S, Halevi P, Martinez G, et al. Theory of acoustic band structure of periodic elastic composites[J]. Physical Review B, 1994, 49: 2313-2322.
[5] [5] Lucklum R. Phononic crystals and metamaterials-promising new sensor platforms[J]. Procedia Engineering, 2014, 87: 40-45.
[7] [7] Liu Z Y, Zhang X X, Mao Y W, et al. Locally resonant sonic materials[J]. Science, 2000, 289: 1734-1736.
[8] [8] Miranda E J P, Dos Santos J M C. Evanescent bloch waves and complex band structure in magnetoelectroelastic phononic crystals[J]. Mechanical Systems and Signal Processing, 2018, 112: 280-304.
[9] [9] Li Q Q, Guo Y Q, Wang J Y. Band structures analysis of elastic waves propagating along thickness direction in periodically laminated piezoelectric composites[J]. Crystals, 2018, 8: 351-356.
[11] [11] Lei J R, Xie L X, Liu J. Band structure analysis of phononic crystals based on the chebyshev interval method[J]. Journal of the Acoustical Society of America, 2017, 142: 3234-3244.
[12] [12] Yi G, Youn B D. A comprehensive survey on topology optimization of phononic crystals[J]. Structural and Multidisciplinary Optimization, 2016, 54: 1315-1344.
[13] [13] Chen C Q, Cui J Z, Duan H L, et al. Perspectives in mechanics of heterogeneous solids[J]. Acta Mechanica Solida Sinica, 2011, 24: 1-26.
[15] [15] Yan Z Z, Wang Y S. Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals[J]. Physical Review B, 2006, 74: 224303.
[16] [16] Mei J, Liu Z Y, Qiu C Y. Multiple-scattering theory for out-of-plane propagation of elastic waves in two-dimensional phononic crystals[J]. Journal of Physics-condensed Matter, 2005, 17: 3735-3757.
[17] [17] Li F L, Wang Y S, Zhang C, et al. Bandgaps of two-dimensional phononic crystals with sliding interface conditions[J]. Journal of Applied Mechanics, 2014, 81: 064501.
[18] [18] Zhen N, Wang Y S, Zhang C. Surface/interface effect on band structures of nanosized phononic crystals[J]. Mechanics Research Communications, 2012, 46: 81-89.
[19] [19] Zhen N, Li F L, Wang Y S, Zhang C. Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on dirichlet-to-neumann map[J]. Acta Mechanica Sinica, 2012, 28: 1143-1153.
[21] [21] Li F L, Wang Y S, Zhang C, et al. Boundary element method for band gap calculations of two-dimensional solid phononic crystals[J]. Engineering Analysis with Boundndary Elements, 2013, 37: 225-235.
[23] [23] Li F L, Wang Y S, Zhang C. A BEM for band structure and elastic wave transmission analysis of 2D phononic crystals with different interface conditions[J]. International Journal of Mechcnical Sciences, 2018, 144: 110-117.
Get Citation
Copy Citation Text
LI Fenglian, LYU Mei. Band-gap Calculations of Phononic Crystals in a Triangular Lattice with Imperfect Interfaces Based on the Boundary Element Method[J]. Journal of Synthetic Crystals, 2020, 49(1): 27
Category:
Received: --
Accepted: --
Published Online: Jun. 15, 2020
The Author Email: Fenglian LI (lifenglian@126.com)
CSTR:32186.14.