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Exact Solution of a Dielectric Crack of Mode III in Magneto-Electro-Elastic Half-Space

Rogowski B.

Acta Mechanica et Automatica

2011

Vol. 5, no. 4

86-94

This paper investigated the fracture behaviour of a piezo-electro-magneto-elastic material subjected to electro-magneto-mechanical loads. The PEMO-elastic medium contains a straight-line crack which is parallel to its poling direction and loaded surface of the half-space. Fourier transform technique is used to reduce the problem to the solution of one Fredholm integral equation. This equation is solved exactly. The semi-permeable crack-face magneto-electric boundary conditions are utilized. Field intensity factors of stress, electric displacement, magnetic induction, crack displacement, electric and magnetic potentials, and the energy release rate are determined. The electric displacement and magnetic induction of crack interior are discussed. Strong coupling between stress and electric and magnetic field near the crack tips has been found.