Moving polarization saturation crack in ferroelectric solids

Hao Sen Chen; Yong Mao Pei; Jin Xi Liu; Dai Ning Fang

doi:10.1016/j.euromechsol.2013.02.002

Moving polarization saturation crack in ferroelectric solids

Hao Sen Chen, Yong Mao Pei, Jin Xi Liu, Dai Ning Fang^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

A moving polarization saturation (PS) model is proposed to study the plane problem of a Yoffe-type crack moving with constant velocity in ferroelectric materials considering electric saturation. Based on the extended Stroh formalism, the model is solved using complex function method. The closed-form expressions for the electroelastic fields are obtained in a concise way. Results are shown to converge to known solutions for static PS model and the moving linear piezoelectric model. Numerical results for PZT-5H material are given graphically. It can be deducted that the dynamic intensity factors are dependent of the electric field and the velocity. It predicts that crack propagation may be promoted by a positive applied electrical field and inhibited by the negative one. For high crack velocity, 0.28 times minimum body wave speed, the hoop stress is maximal for an angle θ≠0.

Original language	English
Pages (from-to)	43-49
Number of pages	7
Journal	European Journal of Mechanics, A/Solids
Volume	41
DOIs	https://doi.org/10.1016/j.euromechsol.2013.02.002
Publication status	Published - 2013
Externally published	Yes

Keywords

Critical velocity
Electric saturation
Moving polarization saturation model
Plane problem

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10.1016/j.euromechsol.2013.02.002

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title = "Moving polarization saturation crack in ferroelectric solids",

abstract = "A moving polarization saturation (PS) model is proposed to study the plane problem of a Yoffe-type crack moving with constant velocity in ferroelectric materials considering electric saturation. Based on the extended Stroh formalism, the model is solved using complex function method. The closed-form expressions for the electroelastic fields are obtained in a concise way. Results are shown to converge to known solutions for static PS model and the moving linear piezoelectric model. Numerical results for PZT-5H material are given graphically. It can be deducted that the dynamic intensity factors are dependent of the electric field and the velocity. It predicts that crack propagation may be promoted by a positive applied electrical field and inhibited by the negative one. For high crack velocity, 0.28 times minimum body wave speed, the hoop stress is maximal for an angle θ≠0.",

keywords = "Critical velocity, Electric saturation, Moving polarization saturation model, Plane problem",

author = "Chen, {Hao Sen} and Pei, {Yong Mao} and Liu, {Jin Xi} and Fang, {Dai Ning}",

year = "2013",

doi = "10.1016/j.euromechsol.2013.02.002",

language = "English",

volume = "41",

pages = "43--49",

journal = "European Journal of Mechanics, A/Solids",

issn = "0997-7538",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Moving polarization saturation crack in ferroelectric solids

AU - Chen, Hao Sen

AU - Pei, Yong Mao

AU - Liu, Jin Xi

AU - Fang, Dai Ning

PY - 2013

Y1 - 2013

N2 - A moving polarization saturation (PS) model is proposed to study the plane problem of a Yoffe-type crack moving with constant velocity in ferroelectric materials considering electric saturation. Based on the extended Stroh formalism, the model is solved using complex function method. The closed-form expressions for the electroelastic fields are obtained in a concise way. Results are shown to converge to known solutions for static PS model and the moving linear piezoelectric model. Numerical results for PZT-5H material are given graphically. It can be deducted that the dynamic intensity factors are dependent of the electric field and the velocity. It predicts that crack propagation may be promoted by a positive applied electrical field and inhibited by the negative one. For high crack velocity, 0.28 times minimum body wave speed, the hoop stress is maximal for an angle θ≠0.

AB - A moving polarization saturation (PS) model is proposed to study the plane problem of a Yoffe-type crack moving with constant velocity in ferroelectric materials considering electric saturation. Based on the extended Stroh formalism, the model is solved using complex function method. The closed-form expressions for the electroelastic fields are obtained in a concise way. Results are shown to converge to known solutions for static PS model and the moving linear piezoelectric model. Numerical results for PZT-5H material are given graphically. It can be deducted that the dynamic intensity factors are dependent of the electric field and the velocity. It predicts that crack propagation may be promoted by a positive applied electrical field and inhibited by the negative one. For high crack velocity, 0.28 times minimum body wave speed, the hoop stress is maximal for an angle θ≠0.

KW - Critical velocity

KW - Electric saturation

KW - Moving polarization saturation model

KW - Plane problem

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U2 - 10.1016/j.euromechsol.2013.02.002

DO - 10.1016/j.euromechsol.2013.02.002

M3 - Article

AN - SCOPUS:84876119101

SN - 0997-7538

VL - 41

SP - 43

EP - 49

JO - European Journal of Mechanics, A/Solids

JF - European Journal of Mechanics, A/Solids

ER -

Moving polarization saturation crack in ferroelectric solids

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Keywords

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