Influence of Bandgap on the Response of Periodic Metaconcrete Rod Structure under Blast Load
Publication: Journal of Materials in Civil Engineering
Volume 34, Issue 11
Abstract
A metamaterial is an engineered material made by embedding engineered cores (heavy cores coated with a soft coating) into a matrix, which generates bandgaps such that stress waves with frequencies falling into the bandgaps can be mitigated. Metaconcrete made by embedding engineered aggregates into a mortar matrix can be used to attenuate stress waves generated by blast loads. This study presents a method for determining the metaconcrete bandgaps and designing a metaconcrete unit cell by using commercially available software to achieve the desired bandgaps. The dispersion relation of metaconcrete unit cells was investigated. With the designed configuration, the performance of metaconcrete rod structures under blast load was studied by using a software simulation. The results demonstrated the effectiveness of the designed unit cell with the selected soft coating and heavy core in mitigating blast-induced elastic and nonlinear inelastic stress-wave propagation. The responses of metaconcrete rod structures with one type of unit cell and grouped two types of unit cells with multiple bandgaps subjected to blast load were also studied. The results show that the grouped unit cells with multiple bandgaps led to better performance in wave mitigation than only one type of unit cell in the example metaconcrete rod structure.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors are grateful for the financial support from the Australian Research Council (ARC) via Laureate Fellowship FL180100196.
References
Abdul, H. H., Y. Ding, and S. Qian. 2021. “Mechanical and antibacterial behavior of photocatalytic lightweight engineered cementitious composites.” J. Mater. Civ. Eng. 33 (10): 04021262. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003886.
Anas, S. M., M. Alam, and M. Umair. 2021. “Experimental and numerical investigations on performance of reinforced concrete slabs under explosive-induced air-blast loading: A state-of-the-art review.” Structures 31 (Jun): 428–461. https://doi.org/10.1016/j.istruc.2021.01.102.
Asiri, S. A., and Y. Z. Al-Zahrani. 2014. “Theoretical analysis of mechanical vibration for offshore platform structures.” World J. Mech. 4 (1): 1. https://doi.org/10.4236/wjm.2014.41001.
Brillouin, L. 1946. Wave propagation in periodic structures. New York: Dover.
Caçoilo, A., R. Mourão, F. Teixeira-Dias, D. Lecompte, and D. Rush. 2021. “Structural response of corrugated plates under blast loading: The influence of the pressure-time history.” Structures 30 (Apr): 531–545. https://doi.org/10.1016/j.istruc.2021.01.025.
Cannon, L., and S. K. Clubley. 2021. “Structural response of simple partially-clad steel frames to long-duration blast loading.” Structures 32 (Aug): 1260–1270. https://doi.org/10.1016/j.istruc.2021.03.024.
Chen, G., Y. F. Hao, and H. Hao. 2015. “3D meso-scale modelling of concrete material in spall tests.” Mater. Struct. 48 (6): 1887–1899. https://doi.org/10.1617/s11527-014-0281-z.
Cheng, Z. B., Z. F. Shi, Y. Mo, and H. J. Xiang. 2013. “Locally resonant periodic structures with low-frequency band gaps.” J. Appl. Phys. 114 (3): 033532. https://doi.org/10.1063/1.4816052.
DeArmitt, C. 2016. “Magnetite.” In Polymers and polymeric composites: A reference series, edited by S. Palsule. Berlin: Springer.
Gebbeken, N. 2017. “Urbane sicherheit bei explosionen—Schutz durch bepflanzung.” Bautechnik 94 (5): 295–306. https://doi.org/10.1002/bate.201600089.
Gomathi, K. A., and A. Rajagopal. 2020. “Dynamic performance of reinforced concrete slabs under impact and blast loading using a plasticity based approach.” Int. J. Struct. Stab. Dyn. 20 (14): 2043015. https://doi.org/10.1142/S0219455420430154.
Hao, H., Y. F. Hao, J. Li, and W. S. Chen. 2016. “Review of the current practices in blast-resistant analysis and design of concrete structures.” Adv. Struct. Eng. 19 (8): 1193–1223. https://doi.org/10.1177/1369433216656430.
Hao, Y. F., and H. Hao. 2011. “Numerical evaluation of the influence of aggregates on concrete compressive strength at high strain rate.” Int. J. Prot. Struct. 2 (2): 177–206. https://doi.org/10.1260/2041-4196.2.2.177.
Hao, Y. F., H. Hao, Y. C. Shi, Z. Q. Wang, and R. Q. Zong. 2017. “Field testing of fence type blast wall for blast load mitigation.” Int. J. Struct. Stab. Dyn. 17 (9): 1750099. https://doi.org/10.1142/S0219455417500997.
Huang, H., C. Sun, and G. Huang. 2009. “On the negative effective mass density in acoustic metamaterials.” Int. J. Eng. Sci. 47 (4): 610–617. https://doi.org/10.1016/j.ijengsci.2008.12.007.
Huang, H. H., and C. T. Sun. 2012. “Continuum modeling of a composite material with internal resonators.” Mech. Mater. 46 (Mar): 1–10. https://doi.org/10.1016/j.mechmat.2011.11.006.
Huang, K. X., G. S. Shui, Y. Z. Wang, and Y. S. Wang. 2020. “Meta-arrest of a fast propagating crack in elastic wave metamaterials with local resonators.” Mech. Mater. 148 (Sep): 103497. https://doi.org/10.1016/j.mechmat.2020.103497.
Huang, Y. H., and Y. C. Guo. 2014. “Review of durability of fiber reinforced polymer (FRP) reinforced concrete structure.” Appl. Mech. Mater. 548–549: 1651–1654. https://doi.org/10.4028/www.scientific.net/AMM.548-549.1651.
Jin, H. X., W. S. Chen, H. Hao, and Y. F. Hao. 2019. “Numerical study on impact resistance of metaconcrete.” [In Chinese.] Sci. China (Phys. Mech. Astron.) 50 (2): 74–85. https://doi.org/10.1360/SSPMA-2019-0183.
Jin, H. X., H. Hao, W. S. Chen, and C. Xu. 2021. “Spall behaviors of metaconcrete: 3D meso-scale modelling.” Int. J. Struct. Stab. Dyn. 21 (9): 2150121. https://doi.org/10.1142/S0219455421501212.
Jin, H. X., H. Hao, Y. F. Hao, and W. S. Chen. 2020. “Predicting the response of locally resonant concrete structure under blast load.” Constr. Build. Mater. 252 (Aug): 118920. https://doi.org/10.1016/j.conbuildmat.2020.118920.
Jin, T., Y. Yong, and L. Taerwe. 2010. “Compressive strength of self-compacting concrete during high-temperature exposure.” J. Mater. Civ. Eng. 22 (10): 1005–1011. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000102.
Kushwaha, M. S., P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani. 1993. “Acoustic band structure of periodic elastic composites.” Phys. Rev. Lett. 71 (13): 2022. https://doi.org/10.1103/PhysRevLett.71.2022.
Lee, U. 1998. “Equivalent continuum representation of lattice beams: Spectral element approach.” Eng. Struct. 20 (7): 587–592. https://doi.org/10.1016/S0141-0296(97)00063-1.
Lee, U. 2000. “Vibration analysis of one-dimensional structures using the spectral transfer matrix method.” Eng. Struct. 22 (6): 681–690. https://doi.org/10.1016/S0141-0296(99)00002-4.
Li, B., Y. Liu, and K. T. Tan. 2017. “A novel meta-lattice sandwich structure for dynamic load mitigation.” J. Sandwich Struct. Mater. 21 (6): 1880–1905. https://doi.org/10.1177/1099636217727144.
Li, Z., and H. Chen. 2006. “The development trend of advanced building materials.” In Proc., 1st Int. Forum on Advances in Structural Engineering. Beijing: China Architecture and Building Press. http://hdl.handle.net/1783.1/12125.
Liu, Z., C. Chan, and P. Sheng. 2002. “Three-component elastic wave band-gap material.” Phys. Rev. B 65 (16): 165116. https://doi.org/10.1103/PhysRevB.65.165116.
Liu, Z. Y., C. T. Chan, and P. Sheng. 2005. “Analytic model of phononic crystals with local resonances.” Phys. Rev. B 71 (1): 014103. https://doi.org/10.1103/PhysRevB.71.014103.
Liu, Z. Y., X. X. Zhang, Y. W. Mao, Y. Y. Zhu, Z. Y. Yang, C. T. Chan, and P. Sheng. 2000. “Locally resonant sonic materials.” Science 289 (5485): 1734–1736. https://doi.org/10.1126/science.289.5485.1734.
Ma, G., C. Fu, G. Wang, P. Del Hougne, J. Christensen, Y. Lai, and P. Sheng. 2016. “Polarization bandgaps and fluid-like elasticity in fully solid elastic metamaterials.” Nat. Commun. 7 (13536): 1–8.
Ma, G., H. Zhou, and K. Chong. 2011. “In-structure shock assessment of underground structures with consideration of rigid body motion.” J. Eng. Mech. 137 (12): 797–806. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000300.
Ma, G., H. Zhou, Y. Lu, and K. Chong. 2010. “In-structure shock of underground structures: A theoretical approach.” Eng. Struct. 32 (12): 3836–3844. https://doi.org/10.1016/j.engstruct.2010.08.026.
Malvar, L., and J. Crawford. 1998. “Dynamic increase factors for concrete.” In Proc., Twenty-Eighth DDESB Seminar. Port Hueneme, CA: Naval Facilities Engineering Service Center.
Mei, J., Z. Y. Liu, W. J. Wen, and P. Sheng. 2006. “Effective mass density of fluid-solid composites.” Phys. Rev. Lett. 96 (2): 024301. https://doi.org/10.1103/PhysRevLett.96.024301.
Milton, G. W., and J. R. Willis. 2007. “On modifications of Newton’s second law and linear continuum elastodynamics.” Proc. R. Soc. A: Math. Phys. Eng. Sci. 463 (2079): 855–880. https://doi.org/10.1098/rspa.2006.1795.
Mitchell, S. J., A. Pandolfi, and M. Ortiz. 2014. “Metaconcrete: Designed aggregates to enhance dynamic performance.” J. Mech. Phys. Solids 65 (Apr): 69–81. https://doi.org/10.1016/j.jmps.2014.01.003.
Mitchell, S. J., A. Pandolfi, and M. Ortiz. 2015. “Investigation of elastic wave transmission in a metaconcrete slab.” Mech. Mater. 91 (Dec): 295–303. https://doi.org/10.1016/j.mechmat.2015.08.004.
Mitchell, S. J., A. Pandolfi, and M. Ortiz. 2016. “Effect of brittle fracture in a metaconcrete slab under shock loading.” J. Eng. Mech. 142 (4): 04016010. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001034.
Mohammed, E. S., and L. Placidi. 2018. “Discrete and continuous aspects of some metamaterial elastic structures with band gaps.” Arch. Appl. Mech. 18 (10): 1725–1742. https://doi.org/10.1007/s00419-018-1399-1.
Nejadsadeghi, N., L. Placidi, M. Romeo, and A. Misra. 2019. “Frequency band gaps in dielectric granular metamaterials modulated by electric field.” Mech. Res. Commun. 95 (Jan): 96–103. https://doi.org/10.1016/j.mechrescom.2019.01.006.
Pendry, J. B. 2000. “Negative refraction makes a perfect lens.” Phys. Rev. Lett. 85 (18): 3966. https://doi.org/10.1103/PhysRevLett.85.3966.
Sharma, M. R., A. K. Singh, and G. S. Benipal. 2017. “Elastic stability of concrete beam-columns.” Int. J. Struct. Stab. Dyn. 17 (1): 1750095. https://doi.org/10.1142/S021945541750095X.
Shi, Z. F., and J. K. Huang. 2013. “Feasibility of reducing three-dimensional wave energy by introducing periodic foundations.” Soil Dyn. Earthquake Eng. 50 (Jul): 204–212. https://doi.org/10.1016/j.soildyn.2013.03.009.
Smith, D., R. Dalichaouch, N. Kroll, S. Schultz, S. McCall, and P. Platzman. 1993. “Photonic band structure and defects in one and two dimensions.” J. Opt. Soc. Am. B 10 (2): 314–321. https://doi.org/10.1364/JOSAB.10.000314.
Tan, K. T., H. Huang, and C. Sun. 2014. “Blast-wave impact mitigation using negative effective mass density concept of elastic metamaterials.” Int. J. Impact Eng. 64 (Feb): 20–29. https://doi.org/10.1016/j.ijimpeng.2013.09.003.
US Department of Defense. 2008. Structures to resist the effects of accidental explosions. Washington, DC: US Department of Defense.
Wu, H. J., Q. M. Zhang, F. L. Huang, and Q. K. Jin. 2005. “Experimental and numerical investigation on the dynamic tensile strength of concrete.” Int. J. Impact Eng. 32 (1–4): 605–617. https://doi.org/10.1016/j.ijimpeng.2005.05.008.
Xu, C., W. S. Chen, and H. Hao. 2020. “The influence of design parameters of engineered aggregate in metaconcrete on bandgap region.” J. Mech. Phys. Solids 139 (Jun): 103929. https://doi.org/10.1016/j.jmps.2020.103929.
Yan, Y., A. Laskar, Z. Cheng, F. Menq, Y. Tang, Y. Mo, and Z. Shi. 2014. “Seismic isolation of two dimensional periodic foundations.” J. Appl. Phys. 116 (4): 044908. https://doi.org/10.1063/1.4891837.
Yuan, C., W. S. Chen, T. M. Pham, and H. Hao. 2019. “Effect of aggregate size on bond behaviour between basalt fibre reinforced polymer sheets and concrete.” Composites, Part B 158 (Feb): 459–474. https://doi.org/10.1016/j.compositesb.2018.09.089.
Zhang, W. F., and B. X. Xue. 2017. Elastic modulus adjustable polyurethane composition, scaffold composite and preparation method thereof. WO2017/054433A1. Munich, Germany: European Patent Office.
Zhou, X. Q., and H. Hao. 2008. “Prediction of airblast loads on structures behind a protective barrier.” Int. J. Impact Eng. 35 (5): 363–375. https://doi.org/10.1016/j.ijimpeng.2007.03.003.
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Journal of Materials in Civil Engineering
Volume 34 • Issue 11 • November 2022
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© 2022 American Society of Civil Engineers.
History
Received: Nov 5, 2021
Accepted: Feb 25, 2022
Published online: Aug 22, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 22, 2023
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