On a moving griffith crack in anistropic piezoelectric solids

A. K. Soh; J. X. Liu; K. L. Lee; D. N. Fang

doi:10.1007/s00419-002-0227-8

On a moving griffith crack in anistropic piezoelectric solids

A. K. Soh, J. X. Liu^*, K. L. Lee, D. N. Fang

^*Corresponding author for this work

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

30 Citations (Scopus)

Abstract

The generalized plane problem of a finite Griffith crack moving with constant velocity in an anisotropic piezoelectric material is investigated. The combined mechanical and electrical loads are applied at infinity. Based on the extended Stroh formalism, the closed-form expressions for the electroelastic fields are obtained in a concise way. Numerical results for PZT-4 piezoelectric ceramic are given graphically. The effects on the hoop stress of the velocity of the crack and the electrical to mechanical load ratios are analyzed. The propagation orientation of a moving crack is also predicted in terms of the criterion of the maximum tensile stress. When the crack speed vanishes, the results of the present paper are in good agreement with those given previously in the literature.

Original language	English
Pages (from-to)	458-469
Number of pages	12
Journal	Archive of Applied Mechanics
Volume	72
Issue number	6-7
DOIs	https://doi.org/10.1007/s00419-002-0227-8
Publication status	Published - Oct 2002
Externally published	Yes

Keywords

Crack branching
Electroelastic field
Moving crack
Piezoelectric material
Stroh formalism

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10.1007/s00419-002-0227-8

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title = "On a moving griffith crack in anistropic piezoelectric solids",

abstract = "The generalized plane problem of a finite Griffith crack moving with constant velocity in an anisotropic piezoelectric material is investigated. The combined mechanical and electrical loads are applied at infinity. Based on the extended Stroh formalism, the closed-form expressions for the electroelastic fields are obtained in a concise way. Numerical results for PZT-4 piezoelectric ceramic are given graphically. The effects on the hoop stress of the velocity of the crack and the electrical to mechanical load ratios are analyzed. The propagation orientation of a moving crack is also predicted in terms of the criterion of the maximum tensile stress. When the crack speed vanishes, the results of the present paper are in good agreement with those given previously in the literature.",

keywords = "Crack branching, Electroelastic field, Moving crack, Piezoelectric material, Stroh formalism",

author = "Soh, {A. K.} and Liu, {J. X.} and Lee, {K. L.} and Fang, {D. N.}",

year = "2002",

month = oct,

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language = "English",

volume = "72",

pages = "458--469",

journal = "Archive of Applied Mechanics",

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TY - JOUR

T1 - On a moving griffith crack in anistropic piezoelectric solids

AU - Soh, A. K.

AU - Liu, J. X.

AU - Lee, K. L.

AU - Fang, D. N.

PY - 2002/10

Y1 - 2002/10

N2 - The generalized plane problem of a finite Griffith crack moving with constant velocity in an anisotropic piezoelectric material is investigated. The combined mechanical and electrical loads are applied at infinity. Based on the extended Stroh formalism, the closed-form expressions for the electroelastic fields are obtained in a concise way. Numerical results for PZT-4 piezoelectric ceramic are given graphically. The effects on the hoop stress of the velocity of the crack and the electrical to mechanical load ratios are analyzed. The propagation orientation of a moving crack is also predicted in terms of the criterion of the maximum tensile stress. When the crack speed vanishes, the results of the present paper are in good agreement with those given previously in the literature.

AB - The generalized plane problem of a finite Griffith crack moving with constant velocity in an anisotropic piezoelectric material is investigated. The combined mechanical and electrical loads are applied at infinity. Based on the extended Stroh formalism, the closed-form expressions for the electroelastic fields are obtained in a concise way. Numerical results for PZT-4 piezoelectric ceramic are given graphically. The effects on the hoop stress of the velocity of the crack and the electrical to mechanical load ratios are analyzed. The propagation orientation of a moving crack is also predicted in terms of the criterion of the maximum tensile stress. When the crack speed vanishes, the results of the present paper are in good agreement with those given previously in the literature.

KW - Crack branching

KW - Electroelastic field

KW - Moving crack

KW - Piezoelectric material

KW - Stroh formalism

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DO - 10.1007/s00419-002-0227-8

M3 - Article

AN - SCOPUS:0036809797

SN - 0939-1533

VL - 72

SP - 458

EP - 469

JO - Archive of Applied Mechanics

JF - Archive of Applied Mechanics

IS - 6-7

ER -

On a moving griffith crack in anistropic piezoelectric solids

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Keywords

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