Journal of Structural and Construction Engineering

Journal of Structural and Construction Engineering

Comprehensive analysis to investigate the effect of geometry and material properties on dynamic response of Metaconcrete

Document Type : Original Article

Authors
Ali Akbar Ozmaei 1
mohammad safi 2
Hamid Bayesteh 3
1 Master Student, Dept.of civil, Water and Environmental Engineering, Shahid Beheshti University, Tehran, Iran
2 Associate Professor, Dept.of civil, Water and Environmental Engineering, Shahid Beheshti University, Tehran, Iran
3 Assistant Professor, Dept.of civil, Water and Environmental Engineering, Shahid Beheshti University, Tehran, Iran
10.22065/jsce.2025.523277.3727
Abstract
Metaconcrete with enhanced dynamic performance, based on the special properties of metamaterials, has been developed for vibration reduction using engineered concrete. In the present study, the influence of metaconcrete unit cell design parameters, considering the interaction between these parameters, on the band gap was evaluated using the global Morris sensitivity analysis method. To this end, based on the concept of negative effective mass, numerical modelling was used to obtain the dispersion curve. The parameters investigated in this study included the geometric arrangement, the volume ratio of materials, and the elastic properties and density of the metaconcrete unit cell's matrix material, coating, and core. In this regard, a mesh sensitivity analysis was conducted using the convergence criterion of the band gap frequencies. Furthermore, using the concept of the first irreducible Brillouin zone, the effect of applied angular and smooth shapes in the core and coating, with the same material volume ratio, on the upper and lower frequencies of the band gap was investigated. The comprehensive analysis conducted to evaluate the sensitivity of the material and geometric parameters of the metaconcrete unit cell indicates that the geometric parameters of coating radius and unit cell length were among the most influential metaconcrete parameters. Also, among the elastic properties and density of the unit cell, the elastic modulus of the coating was identified as an important parameter. The obtained findings provide a basis for the optimal design of metaconcrete for vibration control in structures.
Keywords
Metaconcrete
Band Gap
Metamaterial
Vibration Isolation
Unit Cell

Subjects

[1] Liu, Z., Zhang, X., Mao, Y., Zhu, Y. Y., Yang, Z., Chan, C. T., & Sheng, P. (2000). Locally resonant sonic materials. science, 289(5485), 1734-1736.
[2] Thompson, D. J. (2008). A continuous damped vibration absorber to reduce broad-band wave propagation in beams. Journal of sound and vibration, 311(3-5), 824-842.
[3] Wang, G., Wen, X., Wen, J., & Liu, Y. (2006). Quasi-one-dimensional periodic structure with locally resonant band gap.
[4] Zhu, R., Yasuda, H., Huang, G. L., & Yang, J. K. (2018). Kirigami-based elastic metamaterials with anisotropic mass density for subwavelength flexural wave control. Scientific reports, 8(1), 483.
[5] Colquitt, D. J., Brun, M., Gei, M., Movchan, A. B., Movchan, N. V., & Jones, I. S. (2014). Transformation elastodynamics and cloaking for flexural waves. Journal of the Mechanics and Physics of Solids, 72, 131-143.
[6] Hussein, M. I., Leamy, M. J., & Ruzzene, M. (2014). Dynamics of phononic materials and structures: Historical origins, recent progress, and future outlook. Applied Mechanics Reviews, 66(4), 040802.
[7] Claeys, C. C., Vergote, K., Sas, P., & Desmet, W. (2013). On the potential of tuned resonators to obtain low-frequency vibrational stop bands in periodic panels. Journal of Sound and Vibration, 332(6), 1418-1436.
[8] Tan, K. T., Huang, H. H., & Sun, C. T. (2014). Blast-wave impact mitigation using negative effective mass density concept of elastic metamaterials. International Journal of Impact Engineering, 64, 20-29.
[9] Daraio, C., Nesterenko, V. F., Herbold, E. B., & Jin, S. (2006). Energy trapping and shock disintegration in a composite granular medium. Physical Review Letters, 96(5), 058002.
[10] Ma, G., & Sheng, P. (2016). Acoustic metamaterials: From local resonances to broad horizons. Science advances, 2(2), e1501595.
[11] Abbas, M., Elbaz, K., Shen, S. L., & Chen, J. (2021). Earthquake effects on civil engineering structures and perspective mitigation solutions: a review. Arabian Journal of Geosciences, 14, 1-17.
[12] Gagg, C. R. (2014). Cement and concrete as an engineering material: An historic appraisal and case study analysis. Engineering Failure Analysis, 40, 114-140.
[13] Mitchell, S. J., Pandolfi, A., & Ortiz, M. (2014). Metaconcrete: designed aggregates to enhance dynamic performance. Journal of the Mechanics and Physics of Solids, 65, 69-81.
[14] Mitchell, S. J., Pandolfi, A., & Ortiz, M. (2015). Investigation of elastic wave transmission in a metaconcrete slab. Mechanics of Materials, 91, 295-303.
[15] Mitchell, S. J., Pandolfi, A., & Ortiz, M. (2016). Effect of brittle fracture in a metaconcrete slab under shock loading. Journal of Engineering Mechanics, 142(4), 04016010.
[16] Briccola, D., Ortiz, M., & Pandolfi, A. (2017). Experimental validation of metaconcrete blast mitigation properties. Journal of Applied Mechanics, 84(3), 031001.
[17] Kettenbeil, C., & Ravichandran, G. (2018). Experimental investigation of the dynamic behavior of metaconcrete. International Journal of Impact Engineering, 111, 199-207.
[18] Xu, C., Chen, W., & Hao, H. (2020). The influence of design parameters of engineered aggregate in metaconcrete on bandgap region. Journal of the Mechanics and Physics of Solids, 139, 103929.
[19] Jin, H., Chen, W., Hao, H., & Hao, Y. (2020). Numerical study on impact resistance of metaconcrete. Scientia Sinica Physica, Mechanica & Astronomica, 50(2), 024609.
[20] Jin, H., Hao, H., Chen, W., & Xu, C. (2021). Spall behaviors of metaconcrete: 3D meso-scale modelling. International Journal of Structural Stability and Dynamics, 21(09), 2150121.
[21] Jin, H., Hao, H., Hao, Y., & Chen, W. (2020). Predicting the response of locally resonant concrete structure under blast load. Construction and Building Materials, 252, 118920.
[22] Milton, G. W., & Willis, J. R. (2007). On modifications of Newton's second law and linear continuum elastodynamics. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463(2079), 855-880.
[23] Chen, J., Hou, S., Zheng, B., Li, X., Peng, F., Wang, Y., & Chen, J. (2024). Train-induced vibration and structure-borne noise measurement and prediction of low-rise building. Buildings, 14(9), 2883.
[24] Roy, P. P. (1998). Technical Note Characteristics of ground vibrations and structural response to surface and underground blasting. Geotechnical & Geological Engineering, 16, 151-166.
[25] Oyelade, A. , Abiodun, Y. and Sadiq, M. O. (2018). Dynamic behaviour of concrete containing aggregate resonant frequency. Journal of Computational Applied Mechanics, 49(2), 380-385. doi: 10.22059/jcamech.2018.269048.339
[26] Lim, C. W., & Reddy, J. N. (2019). Built-up structural steel sections as seismic metamaterials for surface wave attenuation with low frequency wide bandgap in layered soil medium. Engineering Structures, 188, 440-451.
[27] Born, M. A. X. (1946). Wave propagation in periodic structures.
[28] Hofstadter, D. R. (1976). Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields. Physical review B, 14(6), 2239.
[29] Cheng, Z. B., & Shi, Z. F. (2018). Composite periodic foundation and its application for seismic isolation. Earthquake Engineering & Structural Dynamics, 47(4), 925-944.
[30] Gholami, K., Rafiee-Dehkharghani, R., & Ghalandarzadeh, A. (2023). Shear and compression waves screening in 2D for dry or saturated ground using periodic infinite and finite soil-foam barriers. Archive of Applied Mechanics, 93(4), 1401-1421.
[31] Morris, M. D. (1991). Factorial sampling plans for preliminary computational experiments. Technometrics, 33(2), 161-174.
[32] Tong, C., & Graziani, F. (2008). A practical global sensitivity analysis methodology for multi-physics applications. In Computational Methods in Transport: Verification and Validation (pp. 277-299). Berlin, Heidelberg: Springer Berlin Heidelberg.
[33] Campolongo, F., & Braddock, R. (1999). The use of graph theory in the sensitivity analysis of the model output: a second order screening method. Reliability Engineering & System Safety, 64(1), 1-12.
[34] Campolongo, F., Cariboni, J., & Saltelli, A. (2007). An effective screening design for sensitivity analysis of large models. Environmental modelling & software, 22(10), 1509-1518.
[35] King, D. M., & Perera, B. J. C. (2013). Morris method of sensitivity analysis applied to assess the importance of input variables on urban water supply yield–A case study. Journal of hydrology, 477, 17-32.
[36] Ruano, M. V., Ribes, J., Ferrer, J., & Sin, G. (2011). Application of the Morris method for screening the influential parameters of fuzzy controllers applied to wastewater treatment plants. Water Science and Technology, 63(10), 2199-2206.
[37] Ruano, M. V., Ribes, J., Seco, A., & Ferrer, J. (2012). An improved sampling strategy based on trajectory design for application of the Morris method to systems with many input factors. Environmental Modelling & Software, 37, 103-109.
[38] Zhang, E., Zhao, H., Lu, G., Chen, P., & Yang, H. (2023). Design and evaluation of dual-resonant aggregates metaconcrete. Latin American Journal of Solids and Structures, 20(2), e479.

  • Receive Date 13 May 2025
  • Revise Date 09 August 2025
  • Accept Date 09 September 2025