Finite Element Modeling of Acoustic Cloaking and Spatial Wave Redirection in Porous Piezoceramic Lattices

International Journal of Physics | Vol. 12, No. 12, December 2021 | pp. 89–96

DOI: 10.46882/2021/IJP/000140

Research Article

Title: Finite Element Modeling of Acoustic Cloaking and Spatial Wave Redirection in Porous Piezoceramic Lattices

Names of Authors: P. J. O’Connor¹, V. I. Morozov²

Authors’ Affiliations:
¹ Department of Civil and Environmental Engineering, University College Cork, Cork, Ireland
² Institute of High Pressure Physics, Russian Academy of Sciences, Troitsk, Russia

Abstract: Deflecting acoustic wave pathways inside fluid-saturated structural arrays is essential for developing underwater sonar hiding cloaks, advanced noise barriers, and targeted seismic protection matrices. This study implements a finite element modeling approach to simulate acoustic cloaking and spatial wave redirection patterns within a porous piezoceramic metamaterial lattice. The design utilizes coordinate-transformation mathematics applied directly to Biot's dynamic poroelastic equations to compute the necessary anisotropic distribution of density and elastic moduli tensors across the shell. We conducted numerical scattering simulations over an ultrasonic frequency spectrum from 20.0 kHz to 120.0 kHz. The computational models show that a cylindrical cloak constructed with 32 concentric sub-wavelength layers successfully guides an incident sound wave around a hidden cavity segment. This active system decreases the total acoustic scattering cross-section by 85.0% at a design marker of 60.0 kHz. We analyzed the impact of electrical boundary loads, demonstrating that adaptive capacitive shunting paths actively tune the effective bulk modulus tensor under changing fluid pressures. Experimental testing was performed using 3D-printed perforated barium titanate components in water, matching simulated data within a ±5.2% margin.

Keywords: Acoustic metamaterials; finite element modeling; acoustic cloaking; Biot's theory; piezoceramics; wave redirection

Manuscript Timeline: Received: August 18, 2021; Revised: October 10, 2021; Accepted: November 02, 2021; Published: December 16, 2021

Citation: O’Connor, P. J., & V. I. Morozov. (2021). Finite Element Modeling of Acoustic Cloaking and Spatial Wave Redirection in Porous Piezoceramic Lattices. International Journal of Physics, 12(12), 89–96.

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