Periodic composite structures, like acoustic metamaterials (AMMs) and phononic crystals (PCs), are able to prevent the propagation of sound and elastic waves for some specific frequency ranges, leading to the emergence of so-called band gaps. So far, the optimization of the metamaterial properties and therefore of the band gaps has been typically performed on passive PCs and AMMs. Hence, the band gap properties cannot be tuned anymore after the production process of the metamaterials; this problem can be overcome thanks to the use of active materials. In this work, material and geometric nonlinearities are exploited to actively tune the frequency ranges of the band gaps of an architected AMM characterized by a three-dimensional periodicity. Specifically, a hyperelastic piezoelectric composite, that can be obtained by embedding piezo nanoparticles in a soft polymeric matrix, is considered to assess the effects of the nonlinearities on the behavior of sculptured microstructures, taking advantage of instability-induced pattern transformation and piezoelectricity to actively tune the band gaps.
References
[1]
McFadden, C. (2019) 3 Acoustic Metamaterials You Probably Didn’t Know About.
https://interestingengineering.com/innovation/3-acoustic-metamaterials-you-probably-didnt-know-about
[2]
Bertoldi, K. and Boyce, M.C. (2008) Wave Propagation and Instabilities in Monolithic and Periodically Structured Elastomeric Materials Undergoing Large Deformations. Phys. Rev. B., 78, Article ID: 184107.
https://doi.org/10.1103/PhysRevB.78.184107
[3]
Wang, P., Shim, J. and Bertoldi, K. (2013) Effects of Geometric and Material Nonlinearities on Tunable Band Gaps and Low-Frequency Directionality of Phononic Crystals. Physical Review B, 88, Article ID: 014304.
https://doi.org/10.1103/PhysRevB.88.014304
[4]
Bertoldi, K., Boyce, M., Deschanel, S., Prange, S. and Mullin, T. (2008) Mechanics of Deformation-Triggered Pattern Transformations and Superelastic Behavior in Periodic Elastomeric Structures. Journal of the Mechanics and Physics of Solids, 56, 2642-2668. https://doi.org/10.1016/j.jmps.2008.03.006
[5]
Akl, W. and Baz, A. (2013) Active Acoustic Metamaterial with Simultaneously Programmable Density and Bulk Modulus. Journal of Vibration and Acoustics, 135, Article ID: 031001. https://doi.org/10.1115/1.4023141
[6]
Akl, W. and Baz, A. (2010) Multi-Cell Active Acoustic Metamaterial with Programmable Bulk Modulus. Journal of Intelligent Material Systems and Structures, 21, 541-556. https://doi.org/10.1177/1045389X09359434
[7]
Bacigalupo, A., De Bellis, M.L. and Misseroni, D. (2020) Design of Tunable Acoustic Metamaterials with Periodic Piezoelectric Microstructure. Journal of Intelligent Material Systems and Structures, 40, Article ID: 100977.
https://doi.org/10.1016/j.eml.2020.100977
[8]
Xia, B., Chen, N., Xie, L., Qin, Y. and Yu, D. (2016) Temperature-Controlled Tunable Acoustic Metamaterial with Active Band Gap and Negative Bulk Modulus. Applied Acoustics, 112, 1-9. https://doi.org/10.1016/j.apacoust.2016.05.005
[9]
Chen, X., Xu, X., Ai, S., Chen, H., Pei, Y. and Zhou, X. (2014) Active Acoustic Metamaterials with Tunable Effective Mass Density by Gradient Magnetic Fields. Applied Physics Letters, 105, Article ID: 071913. https://doi.org/10.1063/1.4893921
[10]
Bayat, A. (2018) Dynamic Response of Tunable Phononic Crystals and New Homogenization Approaches in Magnetoactive Composites. Ph.D. Thesis, University of Nevada, Reno.
[11]
Cui, H., Hensleigh, R., Yao, D., et al. (2019) Three-Dimensional Printing of Piezoelectric Materials with Designed Anisotropy and Directional Response. Nature Materials, 18, Article ID: 071913. https://doi.org/10.1038/s41563-018-0268-1
[12]
Tiersten, H.F. (1969) Linear Piezoelectric Plate Vibrations. Springer, New York.
https://doi.org/10.1007/978-1-4899-5594-4
[13]
Guo, S. (2017) A Coupled Multi-Physics Analysis Model for Integrating Transient ElectroMagnetics and Structural Dynamic Fields with Damage. Ph.D. Thesis, Johns Hopkins University, Baltimore.
[14]
COMSOL Multiphysics® v. 6.0. COMSOL AB, Stockholm, Sweden.
https://www.comsol.com/
