Macrocrack-Microcrack Interaction in Piezoelectric Materials, Part I: Basic Formulations and J-Analysis

Author:

Chen Y.-H.1,Han J.-J.1

Affiliation:

1. School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an Shaanxi Province 710049, P. R. China

Abstract

The macrocrack-microcrack interaction problem in transversely isotropic piezoelectric materials is studied. The microcracks near a macrocrack tip in the process zone are assumed to be parallel to the latter, while the poling direction of the piezoelectric materials is assumed to be perpendicular to the cracks. Three kinds of elementary solutions with different crack configurations and under different loading conditions are given, from which the interaction problem is reduced to a system of Fredholm integral equations by using the pseudo-traction electric displacement method (abbreviated PTED). After the equations are solved numerically, the traditional mode I and mode II stress intensity factors and the electric displacement intensity factor are evaluated. In order to confirm the proposed method as well as the numerical results, a consistency check is proposed which is based on the J-integral analysis and provides a powerful tool to examine the numerical results. Thus, any mistakes are avoided since they would certainly lead to unsatisfied numerical results contrary to the check. It is concluded also that the disturbance of the near-tip electric field provides another source of shielding.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference25 articles.

1. On the contribution of microcrack in near-tip stress field to J-integral;Chen;International Journal of Engineering Science,1996

2. A consistency check for strongly interaction interacting multiple crack problem in isotropic, bimaterial and orthotropic bodies;Chen;International Journal of Fracture,1998

3. Interaction between a main crack and a parallel microcrack in an orthotropic plane elastic solid;Chen;International Journal of Solids and Structures,1994

4. Explicit formulation of the J2-integral in anisotropic materials and its application;Chen;Science in China (E),1997

5. Elastic Interaction of a Crack with a Microcrack:Part I and Part II;Chudnovsky;International Journal of Solids and Structures,1987

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