Nonlinear piezoelectric material properties and non-uniform poling in a flexible electro-active composite finite element model

Joseph Calogero, Hassene Ben Atitallah, Nicholas Wyckoff, Zoubeida Ounaies, Mary I. Frecker

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Active Fiber Composites (AFCs) are piezoelectric devices comprised of long cylindrical fibers, typically made of ceramic lead zirconate titanate (PZT), embedded in an epoxy polymer. AFCs use interdigitated electrodes to produce electric field lines parallel to the fibers (33-mode) rather than across the diameter, exploiting the stronger out-of-plane electromechanical coupling. Nonlinear piezoelectric and dielectric terms and nonuniform poling are often neglected in modeling AFCs due to the added complexity, however including the terms improves accuracy for strong electric fields and where the electrode geometry causes non-uniform electric fields. For that reason, a new finite element model of the AFC is developed which includes the effect of nonlinearities in piezoelectric strain constants and electric permittivity due to a non-uniform applied electric field resulting from two sets of interdigitated electrodes. The methods used to apply the nonlinear constitutive equations and poling are described. A comparison of the AFC response with linear and nonlinear material properties, with non-uniform poling, is shown for increasing applied electric fields. The difference in AFC response illustrates the necessity to include Rayleigh Law terms and non-uniform poling in the model.

Original languageEnglish (US)
Title of host publicationMultifunctional Materials; Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Structural Health Monitoring
PublisherAmerican Society of Mechanical Engineers
ISBN (Electronic)9780791850480
DOIs
StatePublished - Jan 1 2016
EventASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016 - Stowe, United States
Duration: Sep 28 2016Sep 30 2016

Publication series

NameASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016
Volume1

Other

OtherASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016
CountryUnited States
CityStowe
Period9/28/169/30/16

Fingerprint

Piezoelectric materials
Materials properties
Fibers
Composite materials
Electric fields
Electrodes
Piezoelectric devices
Electromechanical coupling
Constitutive equations
Permittivity
Lead
Geometry
Polymers

All Science Journal Classification (ASJC) codes

  • Building and Construction
  • Civil and Structural Engineering
  • Control and Systems Engineering
  • Mechanics of Materials

Cite this

Calogero, J., Atitallah, H. B., Wyckoff, N., Ounaies, Z., & Frecker, M. I. (2016). Nonlinear piezoelectric material properties and non-uniform poling in a flexible electro-active composite finite element model. In Multifunctional Materials; Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Structural Health Monitoring [V001T01A015] (ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016; Vol. 1). American Society of Mechanical Engineers. https://doi.org/10.1115/SMASIS2016-9180
Calogero, Joseph ; Atitallah, Hassene Ben ; Wyckoff, Nicholas ; Ounaies, Zoubeida ; Frecker, Mary I. / Nonlinear piezoelectric material properties and non-uniform poling in a flexible electro-active composite finite element model. Multifunctional Materials; Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Structural Health Monitoring. American Society of Mechanical Engineers, 2016. (ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016).
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abstract = "Active Fiber Composites (AFCs) are piezoelectric devices comprised of long cylindrical fibers, typically made of ceramic lead zirconate titanate (PZT), embedded in an epoxy polymer. AFCs use interdigitated electrodes to produce electric field lines parallel to the fibers (33-mode) rather than across the diameter, exploiting the stronger out-of-plane electromechanical coupling. Nonlinear piezoelectric and dielectric terms and nonuniform poling are often neglected in modeling AFCs due to the added complexity, however including the terms improves accuracy for strong electric fields and where the electrode geometry causes non-uniform electric fields. For that reason, a new finite element model of the AFC is developed which includes the effect of nonlinearities in piezoelectric strain constants and electric permittivity due to a non-uniform applied electric field resulting from two sets of interdigitated electrodes. The methods used to apply the nonlinear constitutive equations and poling are described. A comparison of the AFC response with linear and nonlinear material properties, with non-uniform poling, is shown for increasing applied electric fields. The difference in AFC response illustrates the necessity to include Rayleigh Law terms and non-uniform poling in the model.",
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Calogero, J, Atitallah, HB, Wyckoff, N, Ounaies, Z & Frecker, MI 2016, Nonlinear piezoelectric material properties and non-uniform poling in a flexible electro-active composite finite element model. in Multifunctional Materials; Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Structural Health Monitoring., V001T01A015, ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016, vol. 1, American Society of Mechanical Engineers, ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016, Stowe, United States, 9/28/16. https://doi.org/10.1115/SMASIS2016-9180

Nonlinear piezoelectric material properties and non-uniform poling in a flexible electro-active composite finite element model. / Calogero, Joseph; Atitallah, Hassene Ben; Wyckoff, Nicholas; Ounaies, Zoubeida; Frecker, Mary I.

Multifunctional Materials; Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Structural Health Monitoring. American Society of Mechanical Engineers, 2016. V001T01A015 (ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016; Vol. 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AU - Atitallah, Hassene Ben

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AU - Ounaies, Zoubeida

AU - Frecker, Mary I.

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N2 - Active Fiber Composites (AFCs) are piezoelectric devices comprised of long cylindrical fibers, typically made of ceramic lead zirconate titanate (PZT), embedded in an epoxy polymer. AFCs use interdigitated electrodes to produce electric field lines parallel to the fibers (33-mode) rather than across the diameter, exploiting the stronger out-of-plane electromechanical coupling. Nonlinear piezoelectric and dielectric terms and nonuniform poling are often neglected in modeling AFCs due to the added complexity, however including the terms improves accuracy for strong electric fields and where the electrode geometry causes non-uniform electric fields. For that reason, a new finite element model of the AFC is developed which includes the effect of nonlinearities in piezoelectric strain constants and electric permittivity due to a non-uniform applied electric field resulting from two sets of interdigitated electrodes. The methods used to apply the nonlinear constitutive equations and poling are described. A comparison of the AFC response with linear and nonlinear material properties, with non-uniform poling, is shown for increasing applied electric fields. The difference in AFC response illustrates the necessity to include Rayleigh Law terms and non-uniform poling in the model.

AB - Active Fiber Composites (AFCs) are piezoelectric devices comprised of long cylindrical fibers, typically made of ceramic lead zirconate titanate (PZT), embedded in an epoxy polymer. AFCs use interdigitated electrodes to produce electric field lines parallel to the fibers (33-mode) rather than across the diameter, exploiting the stronger out-of-plane electromechanical coupling. Nonlinear piezoelectric and dielectric terms and nonuniform poling are often neglected in modeling AFCs due to the added complexity, however including the terms improves accuracy for strong electric fields and where the electrode geometry causes non-uniform electric fields. For that reason, a new finite element model of the AFC is developed which includes the effect of nonlinearities in piezoelectric strain constants and electric permittivity due to a non-uniform applied electric field resulting from two sets of interdigitated electrodes. The methods used to apply the nonlinear constitutive equations and poling are described. A comparison of the AFC response with linear and nonlinear material properties, with non-uniform poling, is shown for increasing applied electric fields. The difference in AFC response illustrates the necessity to include Rayleigh Law terms and non-uniform poling in the model.

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M3 - Conference contribution

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BT - Multifunctional Materials; Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Structural Health Monitoring

PB - American Society of Mechanical Engineers

ER -

Calogero J, Atitallah HB, Wyckoff N, Ounaies Z, Frecker MI. Nonlinear piezoelectric material properties and non-uniform poling in a flexible electro-active composite finite element model. In Multifunctional Materials; Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Structural Health Monitoring. American Society of Mechanical Engineers. 2016. V001T01A015. (ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016). https://doi.org/10.1115/SMASIS2016-9180