Abstract
The most general model of electrically limited permeable interface cracks in piezoelectric materials is analyzed in this chapter. This model considers the permeability of the crack medium and is therefore completely physically realistic. A “fully open” interface crack with limited electrical permeability is analyzed first. Assuming the electric displacement is constant along the crack area and using the known presentations of all electromechanical fields via a piecewise holomorphic vector function, the problem is reduced to a vector Hilbert problem and solved in an analytical way. Clear analytical expressions for stresses and electric displacement as well as for stress and electric intensity factors are derived. The validity of the assumption concerning the constancy of the electric displacement along the crack area is confirmed.
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Govorukha, V., Kamlah, M., Loboda, V., Lapusta, Y. (2017). An Electrically Limited Permeable Crack Between Two Piezoelectric Materials. In: Fracture Mechanics of Piezoelectric Solids with Interface Cracks. Lecture Notes in Applied and Computational Mechanics, vol 83. Springer, Cham. https://doi.org/10.1007/978-3-319-53553-1_6
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DOI: https://doi.org/10.1007/978-3-319-53553-1_6
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