Finite Element Modeling of Acoustic Wave Focusing and Tunability in Porous Piezoceramic Acoustic Lenses

International Journal of Physics | Vol. 14, No. 11, November 2023 | pp. 81–88

DOI: 10.46882/2023/IJP/000163

Research Article

Title: Finite Element Modeling of Acoustic Wave Focusing and Tunability in Porous Piezoceramic Acoustic Lenses

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: Controlling acoustic wave transmission paths and focal spots in fluid-saturated structural arrays is essential for developing non-destructive evaluation systems, ultrasound medical diagnostics, and underwater sonar grids. This study presents a finite element modeling approach to simulate acoustic wave scattering and track focus tuning profiles within a gradient-index porous piezoceramic metamaterial matrix. The mathematical model integrates Biot's dynamic equations of poroelasticity with a generalized piezoelectric constitutive framework to account for electro-mechanical coupling under variable external electrical shunting networks. Numerical simulations were executed across an ultrasonic frequency spectrum from 20.0 kHz to 600.0 kHz. The computational results demonstrate that introducing active inductive-capacitive shunts induces a strong, tunable focus alteration for the fast compressional wave mode at 210.0 kHz. This localized spot can be actively shifted by 35.0% across the spatial domain via external load tuning. The scattering cross-section displays a non-linear dependence on core porosity fractions, showing optimal bandgap breadth below a 22.0% threshold. Experimental validation was conducted using synthetic barium titanate porous specimens filled with matching viscoelastic liners, matching the numerical attenuation data within a ±5.5% margin.

Keywords: Acoustic metamaterials; piezoceramics; finite element modeling; Biot's theory; focus tuning; porous media

Manuscript Timeline: Received: August 18, 2023; Revised: October 10, 2023; Accepted: November 02, 2023; Published: November 14, 2023

Citation: O’Connor, P. J., & Morozov, V. I. (2023). Finite Element Modeling of Acoustic Wave Focusing and Tunability in Porous Piezoceramic Acoustic Lenses. International Journal of Physics, 14(11), 81–88.

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