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Open AccessArticle

Numerical Modelling and Optimization of Two-Dimensional Phononic Band Gaps in Elastic Metamaterials with Square Inclusions

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Technology Innovation Institute, Building B04C, Abu Dhabi P.O. Box 9639, United Arab Emirates
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Advanced Digital & Additive Manufacturing Center, Khalifa University, Abu Dhabi P.O. Box 127788, United Arab Emirates
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Mechanical Engineering Department, Khalifa University, Abu Dhabi P.O. Box 127788, United Arab Emirates
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Instituto de Estructura de la Materia (IEM-CSIC), Consejo Superior de Investigaciones Científicas, 28006 Madrid, Spain
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Authors to whom correspondence should be addressed.
Academic Editors: Giorgio Carta and Dimitrios Zografopoulos
Appl. Sci. 2021, 11(7), 3124; https://doi.org/10.3390/app11073124
Received: 28 February 2021 / Revised: 22 March 2021 / Accepted: 29 March 2021 / Published: 1 April 2021
(This article belongs to the Special Issue Advances in Elastic Micro-Structured Systems and Metamaterials)
A numerical simulation study on elastic wave propagation of a phononic composite structure consisting of epoxy and tungsten carbide is presented for low-frequency elastic wave attenuation applications. The calculated dispersion curves of the epoxy/tungsten carbide composite show that the propagation of elastic waves is prohibited inside the periodic structure over a frequency range. To achieve a wide bandgap, the elastic composite structure can be optimized by changing its dimensions and arrangement, including size, number, and rotation angle of square inclusions. The simulation results show that increasing the number of inclusions and the filling fraction of the unit cell significantly broaden the phononic bandgap compared to other geometric tunings. Additionally, a nonmonotonic relationship between the bandwidth and filling fraction of the composite was found, and this relationship results from spacing among inclusions and inclusion sizes causing different effects on Bragg scatterings and localized resonances of elastic waves. Moreover, the calculated transmission spectra of the epoxy/tungsten carbide composite structure verify its low-frequency bandgap behavior. View Full-Text
Keywords: phononic crystals; elastic metamaterials; phononic bandgap; vibration isolation phononic crystals; elastic metamaterials; phononic bandgap; vibration isolation
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MDPI and ACS Style

Alhammadi, A.; Lu, J.-Y.; Almheiri, M.; Alzaabi, F.; Matouk, Z.; Al Teneiji, M.; Al-Rub, R.K.A.; Giannini, V.; Lee, D.-W. Numerical Modelling and Optimization of Two-Dimensional Phononic Band Gaps in Elastic Metamaterials with Square Inclusions. Appl. Sci. 2021, 11, 3124. https://doi.org/10.3390/app11073124

AMA Style

Alhammadi A, Lu J-Y, Almheiri M, Alzaabi F, Matouk Z, Al Teneiji M, Al-Rub RKA, Giannini V, Lee D-W. Numerical Modelling and Optimization of Two-Dimensional Phononic Band Gaps in Elastic Metamaterials with Square Inclusions. Applied Sciences. 2021; 11(7):3124. https://doi.org/10.3390/app11073124

Chicago/Turabian Style

Alhammadi, Alya; Lu, Jin-You; Almheiri, Mahra; Alzaabi, Fatima; Matouk, Zineb; Al Teneiji, Mohamed; Al-Rub, Rashid K.A.; Giannini, Vincenzo; Lee, Dong-Wook. 2021. "Numerical Modelling and Optimization of Two-Dimensional Phononic Band Gaps in Elastic Metamaterials with Square Inclusions" Appl. Sci. 11, no. 7: 3124. https://doi.org/10.3390/app11073124

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