[1] Kushwaha M S, Halevi P, Dobrzynski L. Acoustic band structure of periodic elastic composites［J］. Physical Review Letters, 1993, 71(13): 2022-2025.
[2] Kushwaha M S. Classical band structure of periodic elastic composites［J］. International Journal of Modern Physics B, 1996, 10(9): 977-1094.
[3] Jensen J. Phononic band gaps and vibrations in one- and two-dimensional mass-spring structures［J］. Journal of Sound and Vibration, 2003, 266: 1053-1078.
[4] Chen Y, Qian F, Zuo L, et al. Broadband and multiband vibration mitigation in lattice metamaterials with sinusoidally-shaped ligaments［J］. Extreme Mechanics Letters, 2017, 17: 24-32.
[5] Hussein M I, Leamy M J, Ruzzene M. Dynamics of phononic materials and structures: historical origins, recent progress, and future outlook［J］. Applied Mechanics Reviews, 2014, 66(4): 040802.
[6] Cummer S A, Christensen J, Alu A. Controlling sound with acoustic metamaterials［J］. Nature Reviews Materials, 2016, 1(3): 16001.
[7] Hu G, Tang L, Banerjee A, et al. Metastructure with piezoelectric element for simultaneous vibration suppression and energy harvesting［J］. Journal of Vibration and Acoustics, 2017,139: 011012.
[10] Liu Z Y, Zhang X X, Mao Y W, et al. Locally resonant sonic materials［J］. Science, 2000, 289(5485): 1 734-1 736.
[11] Huang Y, Liu S T, Zhao J. Optimal design of two-dimensional band-gap materials for uni-directional wave propagation［J］. Structural and Multidisciplinary Optimization, 2013, 48 (3): 487-499.
[12] Xu W K, Ning J Y, Lin Z B, et al. Multi-objective topology optimization of two-dimensional multi-phase microstructure phononic crystals［J］. Materials Today Communications, 2020, 22: 10080.
[15] Wei K, Chen H, Pei Y, et al. Planar lattices with tailorable coefficient of thermal expansion and high stiffness based on dual-material triangle unit［J］. Journal of the Mechanics and Physics of Solids, 2016, 86: 173-191.
[16] Lehman J, Lakes R. Stiff lattices with zero thermal expansion［J］. Journal of Intelligent Material Systems and Structures, 2012, 23(11): 1263-1268.
[17] Lehman J, Lakes R. Stiff, strong, zero thermal expansion lattices via material hierarchy［J］. Composite Structures, 2014, 107: 654-663.
[18] Lehman J, Lakes R. Stiff lattices with zero thermal expansion and enhanced stiffness via rib cross section optimization［J］. International Journal of Mechanics and Materials in Design, 2013, 9(3): 213-225.
[19] Zhang Y C, Liang Y J, Liu S T, et al. A new design of dual-constituent triangular lattice metamaterial with unbounded thermal expansion［J］. Acta Mechanica Sinica, 2019, 35(3): 507-517.
[20] Zhang Y C, Liang Y J, Liu S T, et al. A new design for enhanced stiffness of dual-constituent triangular lattice metamaterial with unbounded thermal expansion［J］. Materials Research Express, 2019, 6(1): 015705.
[23] Wu B, Wei R J, Zhao H Y, et al. Phononic band gaps in two-dimensional hybrid triangular lattice［J］. Acta Mechanica Solida Sinica, 2010, 23(3): 255-259.
[24] Caballero D, Sanchez-Dehesa J, Rubio C, et al. Large two-dimensional sonic band gaps［J］. Physical Review E, 1999, 60: 6316-6319.
