Geodesic
Cracks in piezoelectric and electroconductive bodies
Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 1, pp. 70-87.

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Singularities are studied of the elastic and electric fields near a tip of a crack on the interface of two piezoelectric bodies. An analog of the Griffith formula is obtained for the increment of the potential energy of deformation due to development of a rectilinear crack. The external electrical forces result in the decrease of the energy release rate which explains an experimentally-known possibility of controlling the fracture process by some additional electric fields. 
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A. A. Kulikov; S. A. Nazarov. Cracks in piezoelectric and electroconductive bodies. Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 1, pp. 70-87. http://geodesic.mathdoc.fr/item/SJIM_2005_8_1_a8/

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