Open Access

ARTICLE

Electroelastic Problem of Two Anti-Plane Collinear Cracks at the Interface of Two Bonded Dissimilar Piezoelectric Layers

B. M. Singh, J. Rokne, R. S. Dhaliwal¹

1 Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, Canada T2N-1N4. Dr. Dhaliwal, Professor Emeritus, passed away suddenly on October 10, 2007.

Structural Durability & Health Monitoring 2008, 4(2), 95-106. https://doi.org/10.3970/sdhm.2008.004.095

Abstract

Under the permeable electric boundary condition the problem of two collinear anti-plane shear cracks situated at the interface of two bonded dissimilar piezoelectric layers is considered. It is assumed that applied longitudinal shear stress and electric loading at the layer surfaces are prescribed. By the use of Fourier transforms we reduce the problem to solving a set of triple integral equations with a cosine kernel. The triple integral equations are further reduced to a Fredholm integral equation of the second kind whose iterative solution has been obtained. Analytical expressions for the stress intensity factors are obtained. Numerical results are presented in the form of graphs and compared with the results of stress intensity factors of two collinear cracks in a homogeneous elastic layer.

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