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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 1, Pages 70–87 (Mi sjim320)  
This article is cited in 5 scientific papers (total in 5 papers)

Cracks in piezoelectric and electroconductive bodies

A. A. Kulikova, S. A. Nazarovb

a Saint-Petersburg State University
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (324 kB) Citations (5)
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Abstract: 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.
Received: 22.09.2004
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 2, Pages 201–216
DOI: https://doi.org/10.1134/S1990478907020111
Bibliographic databases:
UDC: 539.375
Language: Russian
Citation: A. A. Kulikov, S. A. Nazarov, “Cracks in piezoelectric and electroconductive bodies”, Sib. Zh. Ind. Mat., 8:1 (2005), 70–87; J. Appl. Industr. Math., 1:2 (2007), 201–216
Citation in format AMSBIB
\Bibitem{KulNaz05}
\by A.~A.~Kulikov, S.~A.~Nazarov
\paper Cracks in piezoelectric and electroconductive bodies
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 1
\pages 70--87
\mathnet{http://mi.mathnet.ru/sjim320}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2221671}
\elib{https://elibrary.ru/item.asp?id=13545342}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 2
\pages 201--216
\crossref{https://doi.org/10.1134/S1990478907020111}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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