The behavior of three parallel non-symmetric permeable mode-III cracks in a piezoelectric material plane

Zhen Gong Zhou; Ying Guo; Lin Zhi Wu

doi:10.1016/j.mechrescom.2009.02.008

The behavior of three parallel non-symmetric permeable mode-III cracks in a piezoelectric material plane

Zhen Gong Zhou^*
, Ying Guo
, Lin Zhi Wu

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

9 Scopus citations

Abstract

The behavior of three parallel non-symmetric cracks in a piezoelectric material plane subjected to an anti-plane shear stress loading was studied in this paper. The problem was formulated through Fourier transform into three pairs of dual integral equations. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. Finally, the relation between the electric filed and the stress field near the crack tips was obtained. It is also revealed that the crack shielding effect presents in piezoelectric materials.

Original language	English
Pages (from-to)	690-698
Number of pages	9
Journal	Mechanics Research Communications
Volume	36
Issue number	6
DOIs	https://doi.org/10.1016/j.mechrescom.2009.02.008
State	Published - Sep 2009

Keywords

Mechanics of solids
Parallel non-symmetric cracks
Piezoelectric materials

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10.1016/j.mechrescom.2009.02.008

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title = "The behavior of three parallel non-symmetric permeable mode-III cracks in a piezoelectric material plane",

abstract = "The behavior of three parallel non-symmetric cracks in a piezoelectric material plane subjected to an anti-plane shear stress loading was studied in this paper. The problem was formulated through Fourier transform into three pairs of dual integral equations. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. Finally, the relation between the electric filed and the stress field near the crack tips was obtained. It is also revealed that the crack shielding effect presents in piezoelectric materials.",

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AU - Zhou, Zhen Gong

AU - Guo, Ying

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N2 - The behavior of three parallel non-symmetric cracks in a piezoelectric material plane subjected to an anti-plane shear stress loading was studied in this paper. The problem was formulated through Fourier transform into three pairs of dual integral equations. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. Finally, the relation between the electric filed and the stress field near the crack tips was obtained. It is also revealed that the crack shielding effect presents in piezoelectric materials.

AB - The behavior of three parallel non-symmetric cracks in a piezoelectric material plane subjected to an anti-plane shear stress loading was studied in this paper. The problem was formulated through Fourier transform into three pairs of dual integral equations. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. Finally, the relation between the electric filed and the stress field near the crack tips was obtained. It is also revealed that the crack shielding effect presents in piezoelectric materials.

KW - Mechanics of solids

KW - Parallel non-symmetric cracks

KW - Piezoelectric materials

UR - https://www.scopus.com/pages/publications/67249111778

U2 - 10.1016/j.mechrescom.2009.02.008

DO - 10.1016/j.mechrescom.2009.02.008

M3 - 文章

AN - SCOPUS:67249111778

SN - 0093-6413

VL - 36

SP - 690

EP - 698

JO - Mechanics Research Communications

JF - Mechanics Research Communications

IS - 6

ER -

The behavior of three parallel non-symmetric permeable mode-III cracks in a piezoelectric material plane

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Keywords

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