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Several horizontal cracks in a piezoelectric half-plane under transient loading

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Abstract

A piezoelectric half-plane weakened by several horizontal cracks is investigated under anti-plane mechanical and in-plane electrical impacts. The distributed dislocation and integral transform techniques are employed to construct integral equations of the multiple dynamic cracks embedded in the piezoelectric half-plane. At first, the stress and the electric fields in the piezoelectric half-plane are calculated by using pattern. Then, by determining distributed dislocation density on the crack surface, a system of singular integral equations with Cauchy-type singularity is derived. The dynamic field stress intensity factors are determined by using the numerical Laplace inversion and dislocation densities. Finally, several examples are solved and the effects of the geometrical parameters and cracks configuration are graphically obtained upon the dynamic field intensity factors.

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  1. Mechatronics Faculty, Department of Mechanical Engineering, Karaj Branch, Islamic Azad University, Alborz, Iran

    R. Bagheri

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Bagheri, R. Several horizontal cracks in a piezoelectric half-plane under transient loading. Arch Appl Mech 87, 1979–1992 (2017). https://doi.org/10.1007/s00419-017-1305-2

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  • DOI: https://doi.org/10.1007/s00419-017-1305-2

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