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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     author = {A. A. Kulikov and S. A. Nazarov},
     title = {Cracks in piezoelectric and electroconductive bodies},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2005_8_1_a8/}
}
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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/