BULLETIN OF THE CHINESE CERAMIC SOCIETY ›› 2026, Vol. 45 ›› Issue (7): 2312-2323.DOI: 10.16552/j.cnki.issn1001-1625.2025.1193
• Cement and Concrete • Previous Articles Next Articles
FU Youyun1(
), CHEN Zhihua1, HE Feng2(
), LIU Gang3
Received:2025-12-01
Revised:2026-02-11
Online:2026-07-15
Published:2026-08-13
Contact:
HE Feng
CLC Number:
FU Youyun, CHEN Zhihua, HE Feng, LIU Gang. Effects of Resonant Aggregate Characteristics on Blast Mitigation and Vibration Suppression Performance of Metaconcrete[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2026, 45(7): 2312-2323.
| Material | Density/(kg·m-3) | Elastic modulus/MPa | Compressive strength/MPa | Poisson ratio |
|---|---|---|---|---|
| Mortar | 2 100 | 3×104 | 34 | 0.2 |
Table 1 Matrix material parameters[12]
| Material | Density/(kg·m-3) | Elastic modulus/MPa | Compressive strength/MPa | Poisson ratio |
|---|---|---|---|---|
| Mortar | 2 100 | 3×104 | 34 | 0.2 |
| Material | Density/(kg·m-3) | Elastic modulus/MPa | Poisson ratio |
|---|---|---|---|
| Lead | 11 400 | 1.6×104 | 0.44 |
| Polyurethane | 900 | 1.47×102 | 0.42 |
Table 2 Material parameters of heavy core and coating[12]
| Material | Density/(kg·m-3) | Elastic modulus/MPa | Poisson ratio |
|---|---|---|---|
| Lead | 11 400 | 1.6×104 | 0.44 |
| Polyurethane | 900 | 1.47×102 | 0.42 |
| Parameter | Level 1 | Level 2 | Level 3 |
|---|---|---|---|
| Coating thickness/mm | 1.0 | 2.0 | 3.0 |
| Coating elastic modulus/MPa | 14.7 | 147 | 1 470 |
| Heavy core radius/mm | 9 | 10 | 11 |
| Heavy core density/(g·cm-3) | 2.7 | 7.9 | 11.4 |
Table 3 Factor-level design for orthogonal experiment
| Parameter | Level 1 | Level 2 | Level 3 |
|---|---|---|---|
| Coating thickness/mm | 1.0 | 2.0 | 3.0 |
| Coating elastic modulus/MPa | 14.7 | 147 | 1 470 |
| Heavy core radius/mm | 9 | 10 | 11 |
| Heavy core density/(g·cm-3) | 2.7 | 7.9 | 11.4 |
| Test | Coatingthickness/mm | Coating elastic modulus/MPa | Heavy core radius/mm | Heavy core density/(g·cm-3) | Peak compressive stress/MPa | Peak tensile stress/MPa | Peak velocity/(m·s-1) |
|---|---|---|---|---|---|---|---|
| 1 | 1.0 | 14.7 | 9 | 2.7 | 6.86 | 2.70 | 0.94 |
| 2 | 1.0 | 147 | 10 | 7.8 | 5.83 | 2.20 | 0.34 |
| 3 | 1.0 | 1 470 | 11 | 11.4 | 6.02 | 2.78 | 0.77 |
| 4 | 2.0 | 14.7 | 10 | 11.4 | 6.37 | 2.86 | 0.96 |
| 5 | 2.0 | 147 | 11 | 2.7 | 6.16 | 3.01 | 0.38 |
| 6 | 2.0 | 1 470 | 9 | 7.8 | 7.45 | 3.12 | 0.91 |
| 7 | 3.0 | 14.7 | 11 | 7.8 | 6.56 | 3.48 | 0.41 |
| 8 | 3.0 | 147 | 9 | 11.4 | 6.88 | 2.69 | 0.53 |
| 9 | 3.0 | 1 470 | 10 | 2.7 | 7.89 | 3.06 | 0.97 |
Table 4 Orthogonal experimental scheme and dynamic response results
| Test | Coatingthickness/mm | Coating elastic modulus/MPa | Heavy core radius/mm | Heavy core density/(g·cm-3) | Peak compressive stress/MPa | Peak tensile stress/MPa | Peak velocity/(m·s-1) |
|---|---|---|---|---|---|---|---|
| 1 | 1.0 | 14.7 | 9 | 2.7 | 6.86 | 2.70 | 0.94 |
| 2 | 1.0 | 147 | 10 | 7.8 | 5.83 | 2.20 | 0.34 |
| 3 | 1.0 | 1 470 | 11 | 11.4 | 6.02 | 2.78 | 0.77 |
| 4 | 2.0 | 14.7 | 10 | 11.4 | 6.37 | 2.86 | 0.96 |
| 5 | 2.0 | 147 | 11 | 2.7 | 6.16 | 3.01 | 0.38 |
| 6 | 2.0 | 1 470 | 9 | 7.8 | 7.45 | 3.12 | 0.91 |
| 7 | 3.0 | 14.7 | 11 | 7.8 | 6.56 | 3.48 | 0.41 |
| 8 | 3.0 | 147 | 9 | 11.4 | 6.88 | 2.69 | 0.53 |
| 9 | 3.0 | 1 470 | 10 | 2.7 | 7.89 | 3.06 | 0.97 |
| Factor | Peak velocity/(m·s-1) | Peak compressive stress/MPa | Peak tensile stress/MPa | Optimal level |
|---|---|---|---|---|
| Coating thickness/mm | — | — | — | — |
| Coating elastic modulus/MPa | F=18.26 P=0.052 | F=2.29 P=0.304 | F=5.85 P=0.146 | 147 |
| Heavy core radius/mm | F=6.78 P=0.128 | F=2.17 P=0.315 | F=4.94 P=0.168 | 11 |
| Heavy core density/(g·cm-3) | F=4.33 P=0.188 | — | — | 11.4 |
Table 5 Analysis of variance (ANOVA) results
| Factor | Peak velocity/(m·s-1) | Peak compressive stress/MPa | Peak tensile stress/MPa | Optimal level |
|---|---|---|---|---|
| Coating thickness/mm | — | — | — | — |
| Coating elastic modulus/MPa | F=18.26 P=0.052 | F=2.29 P=0.304 | F=5.85 P=0.146 | 147 |
| Heavy core radius/mm | F=6.78 P=0.128 | F=2.17 P=0.315 | F=4.94 P=0.168 | 11 |
| Heavy core density/(g·cm-3) | F=4.33 P=0.188 | — | — | 11.4 |
| Model type | Volume fraction/% | ||
|---|---|---|---|
| Bottom | Middle | Top | |
| Mild segregation | 36 | 33 | 31 |
| Moderate segregation | 40 | 32 | 28 |
| Severe segregation | 56 | 30 | 24 |
Table 6 Aggregate proportion in gradient distribution models of resonant aggregates
| Model type | Volume fraction/% | ||
|---|---|---|---|
| Bottom | Middle | Top | |
| Mild segregation | 36 | 33 | 31 |
| Moderate segregation | 40 | 32 | 28 |
| Severe segregation | 56 | 30 | 24 |
| Depth/cm | Normal concrete total energy/J | Metaconcrete total energy/J |
|---|---|---|
| 0 | 3 476 | 3 328 |
| 5 | 2 420 | 1 408 |
| 10 | 1 987 | 788 |
| 15 | 1 663 | 407 |
| 20 | 1 479 | 213 |
| 25 | 1 043 | 73 |
| 30 | 761 | 29 |
Table 7 Total energy comparison between metaconcrete and normal concrete
| Depth/cm | Normal concrete total energy/J | Metaconcrete total energy/J |
|---|---|---|
| 0 | 3 476 | 3 328 |
| 5 | 2 420 | 1 408 |
| 10 | 1 987 | 788 |
| 15 | 1 663 | 407 |
| 20 | 1 479 | 213 |
| 25 | 1 043 | 73 |
| 30 | 761 | 29 |
| [1] |
HAO H, HAO Y F, LI J, et al. Review of the current practices in blast-resistant analysis and design of concrete structures[J]. Advances in Structural Engineering, 2016, 19(8): 1193-1223.
DOI URL |
| [2] | NGO T, MENDIS P, GUPTA A, et al. Blast loading and blast effects on structures-an overview[J]. Electronic Journal of Structural Engineering, 2007(1): 76-91. |
| [3] |
EKSTRÖM J, REMPLING R, PLOS M. Spalling in concrete subjected to shock wave blast[J]. Engineering Structures, 2016, 122: 72-82.
DOI URL |
| [4] |
LIU Z Y, ZHANG X X, MAO Y W, et al. Locally resonant sonic materials[J]. Science, 2000, 289(5485): 1734-1736.
PMID |
| [5] |
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.
DOI URL |
| [6] |
WANG G, YU D L, WEN J H, et al. One-dimensional phononic crystals with locally resonant structures[J]. Physics Letters A, 2004, 327(5/6): 512-521.
DOI URL |
| [7] |
MITCHELL S J, PANDOLFI A, ORTIZ M. Investigation of elastic wave transmission in a metaconcrete slab[J]. Mechanics of Materials, 2015, 91: 295-303.
DOI URL |
| [8] |
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.
DOI URL |
| [9] | 黎永盛. 多谐振骨料超材料混凝土带隙及减振效果研究[D]. 广州: 广州大学, 2024. |
| LI Y S. Study on band gap and vibration reduction effect of multi-resonant aggregate metamaterial concrete[D]. Guangzhou: Guangzhou University, 2024 (in Chinese). | |
| [10] | OYELADE A, ABIODUN Y, SADIQ M. Dynamic behaviour of concrete containing aggregate resonant frequency[J]. Journal of Computational Applied Mechanics, 2018, 49(2): 380-385. |
| [11] | BRICCOLA D, ORTIZ M, PANDOLFI A. Experimental validation of metaconcrete blast mitigation properties[J]. Journal of Applied Mechanics, 2017, 84(3): 031001. |
| [12] |
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.
DOI URL |
| [13] |
XU C, CHEN W S, HAO H, et al. Static mechanical properties and stress wave attenuation of metaconcrete subjected to impulsive loading[J]. Engineering Structures, 2022, 263: 114382.
DOI URL |
| [14] | 靳贺欣, 陈文苏, 郝洪, 等. 超材料混凝土抗冲击效应数值研究[J]. 中国科学(物理学 力学 天文学), 2020, 50(2): 74-85. |
| 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): 74-85 (in Chinese). | |
| [15] |
陈俊豪, 陈国东, 曾晓辉, 等. 谐振骨料对混凝土超材料原胞带隙范围的影响研究[J]. 硅酸盐通报, 2025, 44(7): 2474-2486.
DOI |
|
CHEN J H, CHEN G D, ZENG X H, et al. Influence of resonant aggregates on bandgap region in metaconcrete cell[J]. Bulletin of the Chinese Ceramic Society, 2025, 44(7): 2474-2486 (in Chinese).
DOI |
|
| [16] | 陈俊豪, 李俣慧, 陈国东, 等. 基于响应面法的混凝土超材料原胞设计研究[J]. 铁道科学与工程学报, 2025, 22(8): 3517-3530. |
| CHEN J H, LI Y H, CHEN G D, et al. Research on design of the metaconcrete cell based on response surface methodology[J]. Journal of Railway Science and Engineering, 2025, 22(8): 3517-3530 (in Chinese). | |
| [17] |
SHI J, CAO Z G, XIAO L, et al. A novel metaconcrete barrier as backfill of foundation pit to mitigate ground-borne vibration[J]. Transportation Geotechnics, 2025, 55: 101666.
DOI URL |
| [18] |
WANG C Y, LIU Z L, GAO L J, et al. Analytical and numerical modeling on resonant response of particles in polymer matrix under blast wave[J]. Computational Materials Science, 2017, 140: 70-81.
DOI URL |
| [19] |
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.
DOI URL |
| [20] | 郜英杰, 范华林, 张蓓, 等. 超材料消波混凝土板在二维平面波作用下的削波效应研究[J]. 振动与冲击, 2018, 37(20): 39-44. |
| GAO Y J, FAN H L, ZHANG B, et al. Wave attenuation of super-material wave absorbing concrete panel subjected to two-dimensional plane wave[J]. Journal of Vibration and Shock, 2018, 37(20): 39-44 (in Chinese). | |
| [21] | 周荣欣, 刘页. 冲击荷载下橡胶超材料混凝土的数值模拟[J]. 高压物理学报, 2025, 39(7): 38-54. |
| ZHOU R X, LIU Y. Numerical simulation of rubberized metaconcrete under impact load[J]. Chinese Journal of High Pressure Physics, 2025, 39(7): 38-54 (in Chinese). | |
| [22] |
THILAKARATHNA P S M, KRISTOMBU BADUGE K S, MENDIS P, et al. Mesoscale modelling of concrete-a review of geometry generation, placing algorithms, constitutive relations and applications[J]. Engineering Fracture Mechanics, 2020, 231: 106974.
DOI URL |
| [23] | AHIRWAL B, PRASAD R, KASHYAP S K, et al. Stress analysis due to internal explosion pressure of designed flameproof enclosure for hazardous area[J]. Process Safety Progress, 2020, 39(2): e12100. |
| [24] | JOHNSON D, JOHNSON G, ROBERTSON I N. Quantifying segregation in self-consolidating concrete through image analysis[R]. Department of Civil and Environmental Engineering, University of Hawaii, 2010: 1-103. |
| [25] |
PAN L, HAO H, CUI J, et al. Numerical study on dynamic properties of rubberised concrete with different rubber contents[J]. Defence Technology, 2023, 24: 228-240.
DOI URL |
| [26] | 张恩. 局域共振型超材料混凝土的静态及动态力学性能研究[D]. 太原: 太原理工大学, 2023. |
| ZHANG E. Static and dynamic mechanical properties of locally resonant metamaterial concrete[D]. Taiyuan: Taiyuan University of Technology, 2023 (in Chinese). |
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