Influence of Resonant Aggregates on Bandgap Region in Metaconcrete Cell

doi:10.16552/j.cnki.issn1001-1625.2024.1398

Abstract

Abstract: In this paper, a finite element model of the metaconcrete cell was established to analyze the effects of design parameters, including the shape, material parameters, geometric parameters, and material composition of the resonant aggregates, on the bandgap characteristics and regulation laws of the metaconcrete cell. The key design parameters were evaluated and discussed, and design principles of resonant aggregates were proposed. The results show that the bandgap region of the metaconcrete cell is influenced by the shape and orientation of the resonant aggregate. It is suggested that the spherical shape should be used as the resonant aggregate shape of the metamaterial cell. For the metaconcrete cell, achieving a low-frequency bandgap and wide bandgap cannot be accomplished solely by adjusting the elastic modulus and Poisson's ratio of the soft coating. The design principles should focus on reducing the elastic modulus and Poisson's ratio of the soft coating to obtain a low-frequency bandgap, and then adjusting the resonator density and resonant aggregate geometry parameters to achieve a wider bandgap range. For low-frequency vibration below 100 Hz, it is recommended to use polyurethane foam as the soft coating material and lead as resonator material. Furthermore, increasing the thickness of the soft coating is necessary to create a low-frequency bandgap, and increasing the filling rate of resonant aggregates is crucial for generating a wide bandgap.

Key words: metaconcrete, cell, resonant aggregate, bandgap, design parameter, design principle

CLC Number:

TU528.41

CHEN Junhao, CHEN Guodong, ZENG Xiaohui, LONG Guangcheng, XIE Youjun. Influence of Resonant Aggregates on Bandgap Region in Metaconcrete Cell[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2025, 44(7): 2474-2486.

References

[1] MITCHELL S J, PANDOLFI A, ORTIZ M. Metaconcrete: designed aggregates to enhance dynamic performance[J]. Journal of the Mechanics and Physics of Solids, 2014, 65: 69-81.
[2] 陈俊豪, 曾晓辉, 谢友均, 等. 具有减振功能的混凝土超材料的带隙特性[J]. 硅酸盐学报, 2023, 51(5): 1272-1282.
CHEN J H, ZENG X H, XIE Y J, et al. Band gap properties of metaconcrete with vibration reduction function[J]. Journal of the Chinese Ceramic Society, 2023, 51(5): 1272-1282 (in Chinese).
[3] TAN K T, HUANG H H, SUN C T. Blast-wave impact mitigation using negative effective mass density concept of elastic metamaterials[J]. International Journal of Impact Engineering, 2014, 64: 20-29.
[4] MITCHELL S J, PANDOLFI A, ORTIZ M. Investigation of elastic wave transmission in a metaconcrete slab[J]. Mechanics of Materials, 2015, 91: 295-303.
[5] MITCHELL S J, PANDOLFI A, ORTIZ M. Effect of brittle fracture in a metaconcrete slab under shock loading[J]. Journal of Engineering Mechanics, 2016, 142(4): 04016010.
[6] OYELADE A, ABIODUN Y O, SADIQ M O. Dynamic behaviour of concrete containing aggregate resonant frequency[J]. Applied and Computational Mechanics, 2018, 49: 380-385.
[7] TAN S H, POH L H, TKALICH D. Homogenized enriched model for blast wave propagation in metaconcrete with viscoelastic compliant layer[J]. International Journal for Numerical Methods in Engineering, 2019, 119(13): 1395-1418.
[8] JIN H X, CHEN W S, HAO H, et al. Numerical study on impact resistance of metaconcrete[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2020, 50(2): 024609.
[9] JIN H X, HAO H, HAO Y F, et al. Predicting the response of locally resonant concrete structure under blast load[J]. Construction and Building Materials, 2020, 252: 118920.
[10] KETTENBEIL C, RAVICHANDRAN G. Experimental investigation of the dynamic behavior of metaconcrete[J]. International Journal of Impact Engineering, 2018, 111: 199-207.
[11] JIN H X, HAO H, CHEN W S, et al. Spall behaviors of metaconcrete: 3d meso-scale modelling[J]. International Journal of Structural Stability and Dynamics, 2021, 21(9): 2150121.
[12] BRICCOLA D, ORTIZ M, PANDOLFI A. Experimental validation of metaconcrete blast mitigation properties[J]. Journal of Applied Mechanics, 2017, 84(3): 031001.
[13] BRICCOLA D, TOMASIN M, NETTI T, et al. The influence of a lattice-like pattern of inclusions on the attenuation properties of metaconcrete[J]. Frontiers in Materials, 2019, 6: 35.
[14] XU C, CHEN W S, HAO H, et al. Dynamic compressive properties of metaconcrete material[J]. Construction and Building Materials, 2022, 351: 128974.
[15] 韩洁, 路国运. 超材料混凝土单胞骨料的无阻尼自由振动特性研究[J]. 振动与冲击, 2021, 40(8): 173-178+215.
HAN J, LU G Y. A study of undamped free vibration characteristics on a metaconcrete unit cell[J]. Journal of Vibration and Shock, 2021, 40(8): 173-178+215 (in Chinese).
[16] 张恩, 路国运, 杨会伟, 等. 超材料混凝土的带隙特征及对冲击波的衰减效应[J]. 爆炸与冲击, 2020, 40(6): 69-77.
ZHANG E, LU G Y, YANG H W, et al. Band gap features of metaconcrete and shock wave attenuation in it[J]. Explosion and Shock Waves, 2020, 40(6): 69-77 (in Chinese).
[17] CHEN J H, ZENG X H, UMAR H A, et al. Research on vibration reduction performance of metaconcrete based on local resonance theory[J]. Journal of Building Engineering, 2023, 71: 106520.
[18] 陈俊豪, 曾晓辉, 谢友均, 等. 多重谐振水泥基声子晶体带隙特性研究[J]. 材料导报, 2024, 38(12): 94-102.
CHEN J H, ZENG X H, XIE Y J, et al. Research on band gaps characteristics of multiple resonant cement-based phononic crystals[J]. Materials Reports, 2024, 38(12): 94-102 (in Chinese).
[19] XU C, CHEN W S, HAO H. The influence of design parameters of engineered aggregate in metaconcrete on bandgap region[J]. Journal of the Mechanics and Physics of Solids, 2020, 139: 103929.
[20] KRUSHYNSKA A O, KOUZNETSOVA V G, GEERS M G D. Towards optimal design of locally resonant acoustic metamaterials[J]. Journal of the Mechanics and Physics of Solids, 2014, 71: 179-196.