Micromechanics of ferroelectric domain switching behavior. Part II: Constitutive relations and hysteresis

W. Lu; D. N. Fang; K. C. Hwang

doi:10.1016/S0167-8442(01)00083-0

Micromechanics of ferroelectric domain switching behavior. Part II: Constitutive relations and hysteresis

W. Lu
, D. N. Fang^*
, K. C. Hwang

^*Corresponding author for this work

Tsinghua University

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

A constitutive relation is developed to describe the nonlinear behavior of ferroelectric ceramics subjected to external stress and electric field. The theoretical development considers each domain as an inclusion. The Helmholtz and Gibbs free energy of the constituent element are derived by using a micromechanics approach. They are functionals of the orientation distribution function (ODF) that represents the domain distribution patterns. By applying the internal variable theory and expanding ODF in Fourier series, the yield condition, evolution of ODF, and constitutive relation are obtained. Theoretical results agree with experiments.

Original language	English
Pages (from-to)	39-47
Number of pages	9
Journal	Theoretical and Applied Fracture Mechanics
Volume	37
Issue number	1-3
DOIs	https://doi.org/10.1016/S0167-8442(01)00083-0
Publication status	Published - Dec 2001
Externally published	Yes

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title = "Micromechanics of ferroelectric domain switching behavior. Part II: Constitutive relations and hysteresis",

abstract = "A constitutive relation is developed to describe the nonlinear behavior of ferroelectric ceramics subjected to external stress and electric field. The theoretical development considers each domain as an inclusion. The Helmholtz and Gibbs free energy of the constituent element are derived by using a micromechanics approach. They are functionals of the orientation distribution function (ODF) that represents the domain distribution patterns. By applying the internal variable theory and expanding ODF in Fourier series, the yield condition, evolution of ODF, and constitutive relation are obtained. Theoretical results agree with experiments.",

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AU - Lu, W.

AU - Fang, D. N.

AU - Hwang, K. C.

PY - 2001/12

Y1 - 2001/12

N2 - A constitutive relation is developed to describe the nonlinear behavior of ferroelectric ceramics subjected to external stress and electric field. The theoretical development considers each domain as an inclusion. The Helmholtz and Gibbs free energy of the constituent element are derived by using a micromechanics approach. They are functionals of the orientation distribution function (ODF) that represents the domain distribution patterns. By applying the internal variable theory and expanding ODF in Fourier series, the yield condition, evolution of ODF, and constitutive relation are obtained. Theoretical results agree with experiments.

AB - A constitutive relation is developed to describe the nonlinear behavior of ferroelectric ceramics subjected to external stress and electric field. The theoretical development considers each domain as an inclusion. The Helmholtz and Gibbs free energy of the constituent element are derived by using a micromechanics approach. They are functionals of the orientation distribution function (ODF) that represents the domain distribution patterns. By applying the internal variable theory and expanding ODF in Fourier series, the yield condition, evolution of ODF, and constitutive relation are obtained. Theoretical results agree with experiments.

UR - https://www.scopus.com/pages/publications/0035696533

U2 - 10.1016/S0167-8442(01)00083-0

DO - 10.1016/S0167-8442(01)00083-0

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AN - SCOPUS:0035696533

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JO - Theoretical and Applied Fracture Mechanics

JF - Theoretical and Applied Fracture Mechanics

IS - 1-3

ER -

Micromechanics of ferroelectric domain switching behavior. Part II: Constitutive relations and hysteresis

Abstract

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