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Title: Ultrasonic waves from radial mode excitation of a piezoelectric disc on the surface of an elastic solid

Abstract

In this work, we discuss the ultrasonic wave propagation characteristics in an isotropic elastic solid due to the radial mode excitation of a piezoelectric disc actuator bonded to its surface. Finite element simulations using coupled electromechanical modeling is employed to investigate the wave propagation behavior. We find that the radial mode vibrations on the surface of the elastic solid generates all the three types of ultrasonic waves: longitudinal, shear, and surface waves. The waves in the solid are comprised of a central lobe and multiple side lobes based on the frequency of the radial mode excitation. The central lobe is predominantly composed of longitudinal waves and the side lobes are composed of shear waves. While the longitudinal waves have a strong central lobe and weak side lobes that are not fully developed, shear waves consists of fully developed side lobes. In addition, we observe that the longitudinal waves have fewer side lobes inside the solid compared to the shear waves. A semi-analytical approach is presented to explain the above observations. The interface traction boundary condition between the piezoelectric disc and the elastic solid is approximated as a truncated 'Bessel' excitation over the area of the piezoelectric disc in contact withmore » the solid. A Fourier–Bessel series expansion technique is used to investigate the wave propagation behavior from the above traction boundary condition. The results obtained explain the observations from the finite element simulations with regard to the number and distribution of side lobes pertaining to the longitudinal and shear waves generated from the radial modes of the piezoelectric disc. The proposed semi-analytical approach is general and can be applied to any arbitrary axisymmetric excitations on the surface of an elastic solid.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Fossil Energy (FE); USDOE Office of Fossil Energy and Carbon Management (FECM)
OSTI Identifier:
1822724
Alternate Identifier(s):
OSTI ID: 1634261
Report Number(s):
LA-UR-19-27754
Journal ID: ISSN 0964-1726
Grant/Contract Number:  
89233218CNA000001; FE-855-17-FY17; LDRD 20190568ECR
Resource Type:
Accepted Manuscript
Journal Name:
Smart Materials and Structures
Additional Journal Information:
Journal Volume: 29; Journal Issue: 8; Journal ID: ISSN 0964-1726
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Energy Sciences; Radial modes; Elastic waves; Fourier-Bessel series; Bessel beams; Ultrasonics

Citation Formats

Chillara, Vamshi, Greenhall, John James, and Pantea, Cristian. Ultrasonic waves from radial mode excitation of a piezoelectric disc on the surface of an elastic solid. United States: N. p., 2020. Web. doi:10.1088/1361-665x/ab85a2.
Chillara, Vamshi, Greenhall, John James, & Pantea, Cristian. Ultrasonic waves from radial mode excitation of a piezoelectric disc on the surface of an elastic solid. United States. https://doi.org/10.1088/1361-665x/ab85a2
Chillara, Vamshi, Greenhall, John James, and Pantea, Cristian. Tue . "Ultrasonic waves from radial mode excitation of a piezoelectric disc on the surface of an elastic solid". United States. https://doi.org/10.1088/1361-665x/ab85a2. https://www.osti.gov/servlets/purl/1822724.
@article{osti_1822724,
title = {Ultrasonic waves from radial mode excitation of a piezoelectric disc on the surface of an elastic solid},
author = {Chillara, Vamshi and Greenhall, John James and Pantea, Cristian},
abstractNote = {In this work, we discuss the ultrasonic wave propagation characteristics in an isotropic elastic solid due to the radial mode excitation of a piezoelectric disc actuator bonded to its surface. Finite element simulations using coupled electromechanical modeling is employed to investigate the wave propagation behavior. We find that the radial mode vibrations on the surface of the elastic solid generates all the three types of ultrasonic waves: longitudinal, shear, and surface waves. The waves in the solid are comprised of a central lobe and multiple side lobes based on the frequency of the radial mode excitation. The central lobe is predominantly composed of longitudinal waves and the side lobes are composed of shear waves. While the longitudinal waves have a strong central lobe and weak side lobes that are not fully developed, shear waves consists of fully developed side lobes. In addition, we observe that the longitudinal waves have fewer side lobes inside the solid compared to the shear waves. A semi-analytical approach is presented to explain the above observations. The interface traction boundary condition between the piezoelectric disc and the elastic solid is approximated as a truncated 'Bessel' excitation over the area of the piezoelectric disc in contact with the solid. A Fourier–Bessel series expansion technique is used to investigate the wave propagation behavior from the above traction boundary condition. The results obtained explain the observations from the finite element simulations with regard to the number and distribution of side lobes pertaining to the longitudinal and shear waves generated from the radial modes of the piezoelectric disc. The proposed semi-analytical approach is general and can be applied to any arbitrary axisymmetric excitations on the surface of an elastic solid.},
doi = {10.1088/1361-665x/ab85a2},
journal = {Smart Materials and Structures},
number = 8,
volume = 29,
place = {United States},
year = {Tue Jun 23 00:00:00 EDT 2020},
month = {Tue Jun 23 00:00:00 EDT 2020}
}

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