Finite Element Modeling of Acoustic Cloaking and Wave Deflection in Anisotropic Piezocomposite Lattices

International Journal of Physics | Vol. 10, No. 7, July 2019 | pp. 49–56

DOI: 10.46882/2019/IJP/000111

Research Article

Title: Finite Element Modeling of Acoustic Cloaking and Wave Deflection in Anisotropic Piezocomposite Lattices

Names of Authors: P. J. O’Connor¹, S. H. Zhang²

Authors’ Affiliations: ¹Department of Civil and Environmental Engineering, University College Cork, Cork, Ireland; ²Department of Physics, Tsinghua University, Beijing, China

Abstract: Steering elastic paths in dense underwater or aerospace environments is crucial for acoustic hiding systems, smart acoustic isolation barriers, and structural wave management components. This study presents a finite element modeling framework to simulate acoustic cloaking and acoustic wave deflection profiles within anisotropic piezocomposite structural lattices. The metamaterial configuration uses coordinate-transformation methods applied to Biot's dynamic equations to calculate the specific distributions of density tensors and elastic modulus matrices. We executed numerical scattering operations across an acoustic frequency spectrum spanning 15.0 kHz to 90.0 kHz. The computational models show that a cylindrical shell cloak composed of 32 concentric sub-wavelength piezoelectric layers routes an incident wave around a central cavity. This active structure cuts the total scattering cross-section by 86.0% at a design marker of 45.0 kHz. We analyzed the impact of electrical boundary configurations, demonstrating that adaptive inductive shunt routing modifies the effective bulk modulus tensor to accommodate shifts in target sound velocity profiles. Experimental verification used 3D-printed perforated piezoceramic rings immersed in a testing fluid tank. The measured acoustic pressure mappings matched the simulated fields within a tight ±4.8% error margin.

Keywords: Acoustic metamaterials; finite element modeling; acoustic cloaking; Biot's theory; piezocomposites; wave deflection

Manuscript Timeline: Received: March 20, 2019; Revised: May 05, 2019; Accepted: May 28, 2019; Published: July 15, 2019

Citation: O’Connor, P. J., & Zhang, S. H. (2019). Finite Element Modeling of Acoustic Cloaking and Wave Deflection in Anisotropic Piezocomposite Lattices. International Journal of Physics, 10(7), 49–56.

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