Time-dependent and energy dissipation effects on the electro-mechanical response of PZTs

Kamran A. Khan, Anastasia H. Muliana, Hassene Ben Atitallah, Zoubeida Ounaies

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this study, we formulate a constitutive model for coupled thermo-electro-mechanical behavior of piezoelectric ceramics, i.e. lead zirconate titanate (PZT) that takes into account time-dependent behavior and heat generation due to energy dissipation from the electro-mechanical response. Experimental studies show that PZTs dissipate energy when subjected to cyclic electric fields. The dissipated energy is, in some part, converted into heat and raises the temperature of the PZTs. The hysteretic dielectric and strain responses are also dependent on the amplitude and frequency of the applied electric field. The aim of this study is to investigate the energy dissipation and time-dependent effects on the electro-mechanical responses of polarized PZTs. The thermodynamics of irreversible processes for modeling dissipative material responses is adopted to incorporate the time-dependent electromechanical coupling effect. A Gibbs free energy is defined in order to account for the different time-dependent and dissipation behaviors in piezoelectric materials under combined electro-mechanical stimuli. Experimental data on polarized PZTs and PZT based composites at applied electric field magnitudes lower than the coercive electric field, are used to examine the model. The constitutive equations along with the energy equations are solved numerically and used to predict the creep, hysteretic and heat generation responses of PZTs and composites at different frequencies and cyclic electric fields.

Original languageEnglish (US)
Pages (from-to)74-89
Number of pages16
JournalMechanics of Materials
Volume102
DOIs
StatePublished - Nov 1 2016

Fingerprint

Energy dissipation
dissipation
energy dissipation
Electric fields
electric fields
heat generation
Heat generation
irreversible processes
Electromechanical coupling
composite materials
Piezoelectric ceramics
Piezoelectric materials
piezoelectric ceramics
Composite materials
constitutive equations
Gibbs free energy
Constitutive equations
Constitutive models
stimuli
energy

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Materials Science(all)
  • Mechanics of Materials

Cite this

Khan, Kamran A. ; Muliana, Anastasia H. ; Atitallah, Hassene Ben ; Ounaies, Zoubeida. / Time-dependent and energy dissipation effects on the electro-mechanical response of PZTs. In: Mechanics of Materials. 2016 ; Vol. 102. pp. 74-89.
@article{581f657761d94170859b66f9a15b10c6,
title = "Time-dependent and energy dissipation effects on the electro-mechanical response of PZTs",
abstract = "In this study, we formulate a constitutive model for coupled thermo-electro-mechanical behavior of piezoelectric ceramics, i.e. lead zirconate titanate (PZT) that takes into account time-dependent behavior and heat generation due to energy dissipation from the electro-mechanical response. Experimental studies show that PZTs dissipate energy when subjected to cyclic electric fields. The dissipated energy is, in some part, converted into heat and raises the temperature of the PZTs. The hysteretic dielectric and strain responses are also dependent on the amplitude and frequency of the applied electric field. The aim of this study is to investigate the energy dissipation and time-dependent effects on the electro-mechanical responses of polarized PZTs. The thermodynamics of irreversible processes for modeling dissipative material responses is adopted to incorporate the time-dependent electromechanical coupling effect. A Gibbs free energy is defined in order to account for the different time-dependent and dissipation behaviors in piezoelectric materials under combined electro-mechanical stimuli. Experimental data on polarized PZTs and PZT based composites at applied electric field magnitudes lower than the coercive electric field, are used to examine the model. The constitutive equations along with the energy equations are solved numerically and used to predict the creep, hysteretic and heat generation responses of PZTs and composites at different frequencies and cyclic electric fields.",
author = "Khan, {Kamran A.} and Muliana, {Anastasia H.} and Atitallah, {Hassene Ben} and Zoubeida Ounaies",
year = "2016",
month = "11",
day = "1",
doi = "10.1016/j.mechmat.2016.08.001",
language = "English (US)",
volume = "102",
pages = "74--89",
journal = "Mechanics of Materials",
issn = "0167-6636",
publisher = "Elsevier",

}

Time-dependent and energy dissipation effects on the electro-mechanical response of PZTs. / Khan, Kamran A.; Muliana, Anastasia H.; Atitallah, Hassene Ben; Ounaies, Zoubeida.

In: Mechanics of Materials, Vol. 102, 01.11.2016, p. 74-89.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Time-dependent and energy dissipation effects on the electro-mechanical response of PZTs

AU - Khan, Kamran A.

AU - Muliana, Anastasia H.

AU - Atitallah, Hassene Ben

AU - Ounaies, Zoubeida

PY - 2016/11/1

Y1 - 2016/11/1

N2 - In this study, we formulate a constitutive model for coupled thermo-electro-mechanical behavior of piezoelectric ceramics, i.e. lead zirconate titanate (PZT) that takes into account time-dependent behavior and heat generation due to energy dissipation from the electro-mechanical response. Experimental studies show that PZTs dissipate energy when subjected to cyclic electric fields. The dissipated energy is, in some part, converted into heat and raises the temperature of the PZTs. The hysteretic dielectric and strain responses are also dependent on the amplitude and frequency of the applied electric field. The aim of this study is to investigate the energy dissipation and time-dependent effects on the electro-mechanical responses of polarized PZTs. The thermodynamics of irreversible processes for modeling dissipative material responses is adopted to incorporate the time-dependent electromechanical coupling effect. A Gibbs free energy is defined in order to account for the different time-dependent and dissipation behaviors in piezoelectric materials under combined electro-mechanical stimuli. Experimental data on polarized PZTs and PZT based composites at applied electric field magnitudes lower than the coercive electric field, are used to examine the model. The constitutive equations along with the energy equations are solved numerically and used to predict the creep, hysteretic and heat generation responses of PZTs and composites at different frequencies and cyclic electric fields.

AB - In this study, we formulate a constitutive model for coupled thermo-electro-mechanical behavior of piezoelectric ceramics, i.e. lead zirconate titanate (PZT) that takes into account time-dependent behavior and heat generation due to energy dissipation from the electro-mechanical response. Experimental studies show that PZTs dissipate energy when subjected to cyclic electric fields. The dissipated energy is, in some part, converted into heat and raises the temperature of the PZTs. The hysteretic dielectric and strain responses are also dependent on the amplitude and frequency of the applied electric field. The aim of this study is to investigate the energy dissipation and time-dependent effects on the electro-mechanical responses of polarized PZTs. The thermodynamics of irreversible processes for modeling dissipative material responses is adopted to incorporate the time-dependent electromechanical coupling effect. A Gibbs free energy is defined in order to account for the different time-dependent and dissipation behaviors in piezoelectric materials under combined electro-mechanical stimuli. Experimental data on polarized PZTs and PZT based composites at applied electric field magnitudes lower than the coercive electric field, are used to examine the model. The constitutive equations along with the energy equations are solved numerically and used to predict the creep, hysteretic and heat generation responses of PZTs and composites at different frequencies and cyclic electric fields.

UR - http://www.scopus.com/inward/record.url?scp=84983803000&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84983803000&partnerID=8YFLogxK

U2 - 10.1016/j.mechmat.2016.08.001

DO - 10.1016/j.mechmat.2016.08.001

M3 - Article

AN - SCOPUS:84983803000

VL - 102

SP - 74

EP - 89

JO - Mechanics of Materials

JF - Mechanics of Materials

SN - 0167-6636

ER -