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Determination of the Complex-Valued Elastic Moduli of Polymers by Electrical-Impedance Spectroscopy for Ultrasound Applications

Bodé, William N. ; Lickert, Fabian LU ; Augustsson, Per LU and Bruus, Henrik (2022) In Physical Review Applied 18(6).
Abstract

A method is presented for the determination of complex-valued compression and shear elastic moduli of polymers for ultrasound applications. The resulting values, which are scarcely reported in the literature, are found with uncertainties typically around 1% (real part) and 6% (imaginary part). The method involves a setup consisting of a cm-radius, mm-thick polymer ring glued concentrically to a disk-shaped piezoelectric transducer. The ultrasound electrical-impedance spectrum of the transducer is computed numerically and fitted to measured values as an inverse problem in a wide frequency range, typically from 500 Hz to 5 MHz, both on and off resonance. The method is validated experimentally by ultrasonic through transmission around 1.9... (More)

A method is presented for the determination of complex-valued compression and shear elastic moduli of polymers for ultrasound applications. The resulting values, which are scarcely reported in the literature, are found with uncertainties typically around 1% (real part) and 6% (imaginary part). The method involves a setup consisting of a cm-radius, mm-thick polymer ring glued concentrically to a disk-shaped piezoelectric transducer. The ultrasound electrical-impedance spectrum of the transducer is computed numerically and fitted to measured values as an inverse problem in a wide frequency range, typically from 500 Hz to 5 MHz, both on and off resonance. The method is validated experimentally by ultrasonic through transmission around 1.9 MHz. The method is low cost, not limited to specific geometries and crystal symmetries, and, given the developed software, easy to execute. The method has no obvious frequency limitations before severe attenuation sets in above 100 MHz.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Applied
volume
18
issue
6
article number
064078
publisher
American Physical Society
external identifiers
  • scopus:85146118121
ISSN
2331-7019
DOI
10.1103/PhysRevApplied.18.064078
language
English
LU publication?
yes
id
fe82d597-1efb-423c-b5b4-d12fe6bd9b6a
date added to LUP
2023-02-15 15:52:11
date last changed
2023-11-21 16:27:04
@article{fe82d597-1efb-423c-b5b4-d12fe6bd9b6a,
  abstract     = {{<p>A method is presented for the determination of complex-valued compression and shear elastic moduli of polymers for ultrasound applications. The resulting values, which are scarcely reported in the literature, are found with uncertainties typically around 1% (real part) and 6% (imaginary part). The method involves a setup consisting of a cm-radius, mm-thick polymer ring glued concentrically to a disk-shaped piezoelectric transducer. The ultrasound electrical-impedance spectrum of the transducer is computed numerically and fitted to measured values as an inverse problem in a wide frequency range, typically from 500 Hz to 5 MHz, both on and off resonance. The method is validated experimentally by ultrasonic through transmission around 1.9 MHz. The method is low cost, not limited to specific geometries and crystal symmetries, and, given the developed software, easy to execute. The method has no obvious frequency limitations before severe attenuation sets in above 100 MHz.</p>}},
  author       = {{Bodé, William N. and Lickert, Fabian and Augustsson, Per and Bruus, Henrik}},
  issn         = {{2331-7019}},
  language     = {{eng}},
  number       = {{6}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Applied}},
  title        = {{Determination of the Complex-Valued Elastic Moduli of Polymers by Electrical-Impedance Spectroscopy for Ultrasound Applications}},
  url          = {{http://dx.doi.org/10.1103/PhysRevApplied.18.064078}},
  doi          = {{10.1103/PhysRevApplied.18.064078}},
  volume       = {{18}},
  year         = {{2022}},
}