ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 194-202.

ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE

李显方¹, 范天佑²

1. College of Science, Hunan Normal University, Changsha 410081, P R China;
2. Research Center for Materials Science, Beijing Institute of Technology, Beijing 100081, P R China

收稿日期:2000-06-20 修回日期:2001-10-09 出版日期:2002-02-18 发布日期:2002-02-18

ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE

LI Xian-fang¹, FAN Tian-you²

1. College of Science, Hunan Normal University, Changsha 410081, P R China;
2. Research Center for Materials Science, Beijing Institute of Technology, Beijing 100081, P R China

Received:2000-06-20 Revised:2001-10-09 Online:2002-02-18 Published:2002-02-18

摘要/Abstract

摘要： Electroelastic behavior of a cracked piezoelectric ceramics plate subjected to four cases of combined mechanical-electrical loads is analyzed. The integral transform method is applied to convert the problem involving an impermeable anti-plane crack to dual integral equations. Solving the resulting equations, the explicit analytic expressions for electroelastic field along the crack line and the intensity factors of relevant quantities near the crack tip and the mechanical strain energy release rate are obtained. The known results for an infinite piezoelectric ceramics plane containing an impermeable anti-plane crack are recovered from the present results only if the thickness of the plate h→∞.

Abstract: Electroelastic behavior of a cracked piezoelectric ceramics plate subjected to four cases of combined mechanical-electrical loads is analyzed. The integral transform method is applied to convert the problem involving an impermeable anti-plane crack to dual integral equations. Solving the resulting equations, the explicit analytic expressions for electroelastic field along the crack line and the intensity factors of relevant quantities near the crack tip and the mechanical strain energy release rate are obtained. The known results for an infinite piezoelectric ceramics plane containing an impermeable anti-plane crack are recovered from the present results only if the thickness of the plate h→∞.

中图分类号:

O346.1

李显方;范天佑. ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 194-202.

LI Xian-fang;FAN Tian-you. ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 194-202.

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ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE

ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE

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